if I add 1.50 L of water to 250 mL of a 12.5 M NaOH solution, what will the molarity of the diluted solution be?

Answers

Answer 1

Answer:

The molarity of the diluted solution is 1.786 M

Explanation:

Dilution is a process in which you always start with a concentrated solution to which a greater volume of solvent is added. This modifies the concentration and volume of the resulting solution, but the amount of solute used to prepare the initial solution remains the same.

In summary, in a dilution the amount of solute does not vary, but the volume of the solvent varies: when more solvent is added, the concentration of the solute decreases, as the volume (and weight) of the solution increases.

The following rule is fulfilled:

Vinicial x Cinicial = Vfinal x Cfinal

where:

Vinicial = Initial volume. Cinicial = Initial concentration Vfinal = Final volume Cfinal = Final concentration

In this case:

Vinicial= 250 mL= 0.25 L (Being 1 L=1000 mL)Cinicial= 12.5 MVfinal= 1.5 L+ 0.25 L=1.75 LCfinal= ?

Replacing:

0.25 L* 12.5 M= 1.75 L* Cfinal

Solving:

[tex]Cfinal=\frac{0.25 L* 12.5 M}{1.75 L}[/tex]

Cfinal= 1.786 M

The molarity of the diluted solution is 1.786 M


Related Questions

Which strutcure capture enegry from sunlight ?

Answers

Answer:

Chloroplasts

Explanation:

Chloroplasts contain disc-shaped structures called thylakoids, which contain the pigment chlorophyll. Chlorophyll absorbs certain portions of the visible spectrum and captures energy from sunlight.

Which sample would have the same number of molecules as 11.2L of He (g) at 273K and 202kPa?
1) 11.2L of N2(g) at 300K and 202kPa
2) 22.4L of Ne(g) at 546K and 404K
3) 11.2L of CH4(g) at 273K and 202kPa

Answers

Answer: 11.2 L of [tex]CH_4(g)[/tex] at 273K and 202kPa

Explanation:

According to ideal gas equation:

[tex]PV=nRT[/tex]

P = pressure of gas = 202 kPa = 1.99 atm  ( 1kPa= 0.0098 atm)

V = Volume of gas = 11.2 L

n = number of moles = ?

R = gas constant =[tex]0.0821Latm/Kmol[/tex]

T =temperature =[tex]273K[/tex]

[tex]n=\frac{PV}{RT}[/tex]

[tex]n=\frac{1.99\times 11.2}{0.0821 L atm/K mol\times 273K}=0.99moles[/tex]

According to avogadro's law, equal number of moles occupy equal volumes and contain equal number of molecules at same temperature and pressure conditions.

As 11.2 L of [tex]CH_4(g)[/tex] at 273K and 202kPa will have same moles as 11.2L of He (g) at 273K and 202kPa, thus they have same number of molecules.

Final answer:

Using Avogadro's Law which states that equal volumes of gas at the same temperature and pressure have the same number of molecules, the gas that has the same number of molecules as 11.2L of He (g) at 273K and 202kPa would be 11.2L of CH4(g) at 273K and 202kPa.

Explanation:

The concept we need to understand to answer this question is the Avogadro's law, which states that equal volumes of all gases, at the same temperature and pressure, have the same number of molecules. Thus, regardless of the specific gas, 11.2L of any gas at 273K and 202kPa will have the same number of molecules.

Therefore, the sample that would have the same number of molecules as 11.2L of He (g) at 273K and 202kPa would be 11.2L of CH4(g) at 273K and 202kPa. The other two samples have different conditions and thus would not have the same number of molecules.

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A plane flew for 2 hours at 467 mph and 5 hours at 536 mph. How far did the plane fly in miles

Answers

Answer:

The plane flew for a total of 3, 614 miles.

Explanation:

Speed, V = [tex]\frac{distance}{time}[/tex]

Since units is given in miles per hour (mph), there isn't any need to convert to standard units.

Solving for distance = speed × time

∴ Total distance travelled

= (2 × 467) + (5 × 536)

=3, 614 miles.

Answer:

The plane flew 3614 miles

Explanation:

If i have a 50 liter container that holds 45 moles of gas at a temperature of 200 degrees C, what is the pressure inside the container? Step by step answer please.

Answers

Answer:

34.91 atm

Explanation:

Step 1:

Data obtained from the question include:

Volume (V) = 50L

Number of mole (n) = 45 moles

Temperature (T) = 200°C

Pressure (P) =?

Note: Gas constant (R) = 0.082atm.L/Kmol

Step 2:

Conversion of celsius temperature to Kelvin temperature.

T (K) = T (°C) + 273

T (°C) = 200°C

T (K) = 200°C + 273

T (K) = 473K

Step 3:

Determination of the pressure.

The pressure inside the container can be obtained by using the ideal gas equation as follow:

PV = nRT

Divide both side V

P= nRT / V

P = (45 x 0.082 x 473) / 50

P = 34.91 atm

Therefore, the pressure inside the container is 34.91 atm

The pressure inside a 50 liter container that holds 45 moles of gas at a temperature of 200 degrees is 34.90 atm.

What is ideal gas equation?

Ideal gas equation is a hypothesis which shows the behavior of gas at different conditions and it will be represented as:

PV = nRT, where

P = pressure of gas = to find?

V = volume of the container = 50 L

n = moles of gas = 45 moles

R = universal gas constant = 0.082atm.L/Kmol

T = temperature = 473 K

On putting all these values on the above equation, we get

P = (45)(0.082)(473) / (50)

P = 34.90 atm

Hence required pressure is 34.90 atm.

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Tritium is an isotope of hydrogen (H) that has:
A. 1 proton and 0 neutrons
B. 2 protons and 1 neutron
C. 1 proton and 2 neutrons
D. 1 proton and 1 neutron

Answers

D. 1 proton and 1 neutron

Answer:

D.1 proton and 1 neutron is the correct answer    

Explanation:

Initial temperature of metal =
°C
Initial temperature of water =
Final temperature of both =
DONE

Answers

Answer:

the correct answers is 100 22.7 and 24.6

Explanation:

did it on edgunity

The metal is initially heated to a temperature of 100°C. The water's original temperature is 22.4 °C. Both have a final temperature of 27.1°C.

What is the initial temperature?

The initial temperature, which is established following the movement or movement of the full and closed container, is indeed the average temperature of the lowest container to be taken into account at the start of the hot temperature cycle.

Initial temperature refers to the average interior temperature of the coldest processing container at the start of the thermal processing cycle, as assessed following a thorough stir or shake of the filled and sealed containers.

Thus, the metal is initially heated to a temperature of 100°C. The water's original temperature is 22.4 °C. Both have a final temperature of 27.1°C.

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Your question is incomplete, most probably the complete question is:

Measure the initial temperature of the water to the nearest 0.1c record in the date table.

Initial temperature of metal =

°C

Initial temperature of water =

Final temperature of both =

The best definition of a proxy record is:
A. Scientific measurements that are indirect and not recorded with instruments.
B. Scientific measurements that use one set of data to represent another set of data in a calculation.
C. Scientific measurements made using proximal distances between data points.
D. Scientific measurements that contain data points that are average approximations of specific measurements.

Answers

i believe the answer is option D !!

D. Scientific measurements that contain data points that are average approximations of specific measurements.

What is a proxy indicator for the climate?

A proxy climate indicator is a local record that is interpreted using physical or biophysical principles to represent some combination of climate-related variations back in time.

These proxy data are preserved physical characteristics of the environment that can stand in for direct measurements. Paleoclimatologists gather proxy data from natural recorders of climate variability such as corals, pollen, ice cores, tree rings, caves, pack rat middens, ocean and lake sediments, and historical data.

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Oxygen decays to form nitrogen.
150
15N + ºe
This type of nuclear decay is called
DONE

Answers

Answer: beta plus decay

Explanation:

just did it on edge :)

Answer:

The answer is C) beta plus decay

Explanation:

I took the assignment, i hope it helps

5. Rocks and sediment change their form as they move through the rock cycle. Which change
involves melting?
O
lava to rock
O magma to lava
O
rock to magma
rock to sediment
Submit
.

Answers

Answer:

Rock to Magma

Explanation:

Lava to Rock is incorrect because its "Freezing" The Lava

Magma to Lava basically a name change. No type change.

Rock to Sediment is Erosion of the rock.

Rock to Magma Is the Rock being super-heated, melting it. Similar to Ice and water but more extreme.

Rocks and sediment change their form as they move through the rock cycle.Rock to magma  change involves melting. Therefore, option C is correct.

What causes rock to change into magma?

Any rock type can be altered to form a metamorphic rock by extreme pressure from burial, increasing temperature at depth, and a long period of time. If the newly formed metamorphic rock is allowed to continue heating, it will eventually melt and become molten (magma).

The rock is pulled down by movements in the earth's crust and becomes increasingly hot as it descends. It takes temperatures ranging from 600 to 1,300 degrees Celsius (1,100 to 2,400 degrees Fahrenheit) to melt a rock, transforming it into magma (molten rock).

Rock to magma is the Rock being overheated and melting? Ice and water are similar, but more extreme.

Thus, option C is correct.

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Identify the acid-conjugate base pair in this balanced equation:

H2SO4 + 2NaOH → 2H2O + Na2SO4

H2SO4/H2O

H2SO4/Na2SO4

NaOH/H2O

NaOH/Na2SO4

Answers

Answer:

The answer is B. H2SO4/Na2SO4

Explanation:

Answer:

b

Explanation:

How many grams of Fe2O3 will be produced from
24.0 g of Fe and 5.00 g of O2?

Answers

Answer:

16.6g

Explanation:

What would the molecular formula be if lithium and sulfur reacted to form a neutral compound?
A. Li2S2
B. LiS2
C. LiS
D. Li2S

Answers

Answer:

D

Explanation:

Lithium has one valence electron, so it has one to give away to have an outer shell of 8.

Sulfur has 6 valence electrons, so it needs 2 to get an outer shell of 8.

If we have two Li, that means sulfur will get 2 e- and Li will give away 2 e-, so the formula is Li₂S.

D would be your answer.
Lithium has a valence electrons of one.
Sulfur has two valence electrons.
Now you cross it these numbers and bring them down.

What is the hydroxide ion concentration of an acidic solution with a pH of 4.50

Answers

Answer:

0.000032 mol/l

Explanation:

A solution that has a higher concentration of hydrogen ions than water is known as an acidic solution and basic or alkaline solutions have a lower concentration of hydrogen ions than water.

The nucleus of a hydrogen atom separated from its electron is known as a hydrogen ion.

pH of an acidic solution (n) = 4.50

Hydroxide ion concentration of an acidic solution = [tex]10^{-n}=10^{-4.50}=0.000032\,\,mol\,/\,l[/tex]

Multiple Choice

A scientist performs an experiment on an unknown element. She finds that the unknown element forms an ionic bond with beryllium (Be). She concludes that the unknown element must belong in group 2 of the periodic table. State whether or not you think this result supports her conclusion, and why.

A) No. Beryllium is in Group 2 and is unlikely to react with another Group 2 element.
B) No. Group 2 elements are generally unlikely to react at all.
C) Yes. In an ionic bond, elements share an electron, so this is a logical conclusion.
D) Yes. Ionic bonds only form between elements of the same group.

Answers

Answer:

A

Explanation:

I Took the test

A metal does not form ionic bond with other metals. All the group 2 elements are metals. They cannot form compounds with each other. Therefore, option A is correct.

What is ionic bonding ?

Ionic bonds are formed between metals and non-metals. Metals are all electropositive and they easily loss electrons to form corresponding cations.

Non -metals are mostly electron deficient and will gain electrons from metals to achieve octet. Non-metals form their anions and they combine with the cations electrostatically form the ionic bond.

No two metals can form a compound together. They both form positive ions and repel each other. Therefore, beryllium cannot form compounds with elements of its own group which are all metals. Hence, option A is correct.

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5. If there is 7.7 moles of gaseous nitric acid at a pressure of 0.09 atm and
at a temperature of 56 OC, what is the volume of the container that the
w
gas is in?

Answers

Answer: Thus the volume of the container that the gas is in 2311 L

Explanation:

According to ideal gas equation:

[tex]PV=nRT[/tex]

P = pressure of gas = 0.09 atm

V = Volume of gas = Volume of container = ?

n = number of moles = 7.7

R = gas constant =[tex]0.0821Latm/Kmol[/tex]

T =temperature =[tex]56^0C=(56+273)K=329K[/tex]

[tex]V=\frac{nRT}{P}[/tex]

[tex]V=\frac{7.7mol\times 0.0821Latm/K mol\times 329K}{0.09atm}=2311L[/tex]

Thus the volume of the container that the gas is in 2311 L

A 56.8g sample of aluminum is heated from 79.5°C to 143.7°C. The specific heat capacity of aluminum is 0.900 J/(g*K). Calculate the heat absorbed.
A) 3280 J
B) 4440 J
C) 6220 J
D) 11400 J

Answers

Answer:

I think the answer is A.

The heat absorbed should be option A. 3,280 J.

Calculation of the heat absorbed:

Since A 56.8g sample of aluminum is heated from 79.5°C to 143.7°C. The specific heat capacity of aluminum is 0.900 J/(g*K).

So based on this, the following formula should be applied

= Mass of substance * specific heat * change in temperature

= 56.8 * 0.900 J * (143.7 - 79.5)

= 56.8 * 0.900 J * 64.2

= 3,280 J

hence, the first option is correct.

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You exert the same force on two objects of different masses. Which object will have the greater acceleration? Explain your answer.

Answers

When the same force is applied to two objects with different masses, the object with the smaller mass will experience a greater acceleration.

How to get the object

This is in accordance with Newton's second law of motion, which states that acceleration is inversely proportional to mass when force is constant.

Less massive objects accelerate more easily in response to a given force, while more massive objects require a greater force to achieve the same acceleration.

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The object with the smaller mass will have the greater acceleration.

According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its  mass. This relationship is given by the equation:

[tex]\[ a = \frac{F}{m} \][/tex]

where [tex]a[/tex] is the acceleration, [tex]F[/tex] is the force applied, and [tex]m[/tex] is the mass of the object.

 Given that the same force [tex]F[/tex] is applied to two different objects, the acceleration [tex]\( a \)[/tex] of each object will depend on its mass [tex]\( m \).[/tex] If we denote the force as \( F \), and the masses of the two objects as [tex]\( m_1 \) and \( m_2 \),[/tex] with [tex]\( m_1 < m_2 \)[/tex], the accelerations [tex]\( a_1 \) and \( a_2 \)[/tex] can be calculated as:

[tex]\[ a_1 = \frac{F}{m_1} \][/tex]

[tex]\[ a_2 = \frac{F}{m_2} \][/tex]

Since [tex]\( m_1 < m_2 \)[/tex], the fraction [tex]\( \frac{F}{m_1} \)[/tex] will be greater than [tex]\( \frac{F}{m_2} \),[/tex]which means that \[tex]( a_1 > a_2 \).[/tex]

Therefore, the object with the smaller mass [tex]\( m_1 \)[/tex] will have the greater acceleration [tex]\( a_1 \)[/tex] when the same force [tex]\( F \)[/tex] is applied to both objects.

This conclusion is consistent with the inverse relationship between mass and acceleration as described by Newton's second law.

Which phase of matter completely fills its container?
A. Gas
B. None of these
C. Liquid
D. All of these

Answers

Answer:

C. Liquid

Explanation:

Gas has no definite shape but liquid takes form of whatever container it is placed in

C Liquid , liquid fills its container or takes it’s containers shape . Unlike gas which has so shape and us everywhere .

Which of the following always changes when transmutation occurs?
The number of electrons
The mass number
The atomic number
The number of neutrons

Answers

Answer:

The atomic number

Explanation:

Transmutation refers to the conversion of one chemical element into another. A transmutation usually involves a change in the structure of atomic nuclei and this may be induced by a nuclear reaction.

Transmutation was first achieved in 1919 by Lord Rutherford when he successfully changed a nitrogen nucleus to an oxygen-18 isotope, producing a proton in the process.

Since transmutation often involves changing one atom into another, the atomic number or mass number of the original element always changes (to form a new element) in the process.

A helium-filled balloon has a volume of 2.48 L and a pressure of 150 kPa. The volume of the balloon increases to 2.98 L after you climb up a very steep mountain with this balloon. (Temperature is kept constant). Be sure to answer both parts A and B. A. What is the new pressure of the helium gas? (For full credit, write the appropriate gas law formula, list the givens in the problem, indicate what the unknown is, and give your calculated answer). B. Use the kinetic molecular theory to explain why the volume of the gas changed in this scenario.

Answers

Answer:

THE NEW PRESSURE OF THE HELIUM GAS AT 2.98 L VOLUME IS 124.8 kPa.

AT AN INCREASE ALTITUDE, THERE IS A LOWER PRESSURE ENVIRONMENT AND THE HELIUM GAS PRESSURE DECREASES AND HENCE AN INCREASE IN VOLUME.

Explanation:

The question above follows Boyle's law of the gas law as the temperature is kept constant.

Boyle's law states that the pressure of a fixed mass of gas is inversely proportional to the volume, provided the temperature remains constant.

Mathematically, P1 V1 = P2 V2

P1 = 150 kPa = 150 *10^3 Pa

V1 = 2.48 L

V2 = 2.98 L

P2 = ?

Rearranging the equation, we obtain;

P2 = P1 V1 / V2

P2 = 150 kPa * 2.48 / 2.98

P2 = 372 *10 ^3 / 2.98

P2 = 124.8 kPa.

The new pressure of the gas when at a height which increases the volume of the helium gas to 2.98 L is 124.8 kPa.

how energy is conserved?

Answers

Answer:

The law of conservation of energy states that the total energy is constant in any process. Energy may change in form or be transferred from one system to another, but the total remains the same.

Explanation:

What is the coefficient?
A. A whole number that appears in front of a compound or element in a balanced chemical equation.
B. A whole number that appears as a subscript in front of a formula in a balanced chemical equation
C. A whole number that appears as a subscript at the end of a formula in a balanced chemical equation.
D. A whole number that appears as a subscript at the end of a formula in a balanced chemical equation

Answers

Answer:

A. A whole number that appears in front of a compound or element in a balanced chemical equation.  

Explanation:

That's the definition of a coefficient.

B, C, and D are wrong. Subscripts are not coefficients.

What mass of H₂O is formed when excess H₂ reacts with 64 g of O₂? *
2H2+O2 -->2H2O


Answer: 72g

Answers

Answer:

72g of H2O.

Explanation:

We'll begin by writing the balanced equation for the reaction. This is given below:

2H2 + O2 —>2H2O

Next, we'll determine the mass of O2 that reacted and the mass of H2O produced from the balanced equation.

This is illustrated below:

Molar Mass of O2 = 16x2 = 32g/mol

Molar Mass of H2O = (2x1) + 16 = 18g/mol

Mass of H2O from the balanced equation = 2 x 18 = 36g

Summary:

From the balanced equation above,

32g of O2 reacted to produce 36g of H2O.

Now, we can obtain the mass of H2O produced when 64g of O2 react as follow:

From the balanced equation above,

32g of O2 reacted to produce 36g of H2O.

Therefore, 64g of O2 will react to produce = (64 x 36)/32 = 72g of H2O.

From the calculations made above, 72g of H2O is produced from the reaction.

(PLEASE HELP ASAP!!!!!!)
Which statement best describes resistance? Resistance is:
A: how well a current will flow in a material and is measured in volts

B: how well a material conducts an electrical charge and is measured in ohms

C: the ability of a material to attract a positive charge to create a current

D: the ability of a material to repel neutral charges and is measured in ohms

Answers

Answer:

A. How well a current will flow in a material and it's measured in volts.

D. The ability of a materiel to repel neutral charges and measured in ohms

If there was a high pressure system in your area and a bunch of clouds were blown in from a different direction, how would the pressure system in your area change? Would it change or stay the same

Answers

The pressure system in the area would likely change due to the introduction of clouds from a different direction.

Clear skies in a high-pressure system occur because descending air inhibits cloud formation; cloud movement suggests a different air mass.

Arrival of a cloudy air mass can disrupt the existing high-pressure system by weakening it.

The high-pressure system might shift position, moving away or being displaced by the incoming low-pressure system.

Persistence of the high-pressure system depends on its strength and reinforcement by other atmospheric conditions; clouds may be temporary.

Interaction between high and low pressure can form a frontal boundary, triggering weather changes like precipitation.

Cloud introduction from another direction indicates a weather pattern change, affecting the area's pressure system.

Outcome varies based on the strengths and characteristics of both pressure systems and the associated air masses.

Why is a 13 placed in front of the oxygen on the perodic table
A) It is a subscript representing that there are 13 oxygen atoms in an oxygen molecule
B) It is a coefficient representing that there are 13 oxygen atoms in the reactants
C) It is a coefficient representing that there are 13 oxygen molecules in the reactants
D) It is a subscript representing that there are 13 oxygen atoms in the reactants

Answers

Final answer:

A number placed in front of a compound or an element in a chemical equation, such as 13 in front of oxygen, is a coefficient that indicates the number of molecules present, meaning there are 13 oxygen molecules in the reactants.

Explanation:

When you see a number placed in front of a compound or an element in a chemical equation, such as the number 13 placed in front of oxygen, this number is referred to as a coefficient. Coefficients are used in chemical equations to indicate the number of molecules or atoms involved in the reaction. Unlike subscripts, which denote the number of atoms of an element within a molecule, coefficients tell us how many units of a molecule or an elemental atom are present. Therefore, if we see a 13 in front of oxygen in a chemical equation, it indicates the presence of 13 oxygen molecules. This means that the correct answer is "C) It is a coefficient representing that there are 13 oxygen molecules in the reactants".

Which of the following is NOT involved in recording climate data?
A. Investigating air bubbles trapped in ice cores.
B. Analyzing species of pollen.
C. Identifying phosphorus levels in fossils.
D. Studying tree rings.

Answers

Final answer:

The method not involved in recording climate data is identifying phosphorus levels in fossils. Climate scientists commonly use ice cores, pollen analysis, and dendrochronology to understand past climate conditions.

So, the correct answer is C. Identifying phosphorus levels in fossils.

Explanation:

The option that is NOT involved in recording climate data is indentifying phosphorus levels in fossils. Phosphorus levels in fossils are typically not used to record historical climate data. Instead, they may be more relevant in studies of biogeochemical cycles or ancient ecosystems.

Climate scientists use various methods to reconstruct past climates, known as proxy data. Some of the common proxies include:

Investigating air bubbles trapped in ice cores to analyze atmospheric composition and temperature from the past.Analyzing species of pollen to infer the types of vegetation and therefore the climate of the time.Studying tree rings, also known as dendrochronology, which can indicate the age of a tree and provide information about historical weather patterns and climate conditions.

Each of these methods contributes to the understanding of Earth's climate history and changes over time.

So, the correct answer is C. Identifying phosphorus levels in fossils.

Final answer:

Identifying phosphorus levels in fossils is NOT involved in recording climate data. Tree rings, ice cores, and pollen analysis are used to study past climates. Phosphorus levels give geochemical information not directly related to climate.

Explanation:

Of the options provided, the one that is NOT involved in recording climate data is C. Identifying phosphorus levels in fossils. The other options, like investigating air bubbles trapped in ice cores, analyzing species of pollen, and studying tree rings, are all common proxy methods used by scientists to reconstruct past climates. Phosphorus levels in fossils generally provide information related to the geochemistry of the environments where the organisms lived, rather than direct climate data.

Both tree rings and ice cores are essential proxies in paleoclimatology. Tree rings provide annual records that can be used to infer temperature and precipitation patterns, while ice cores can reveal atmospheric composition and temperature data over longer time periods. Pollen analysis helps in reconstructing past vegetation and therefore, the climate that supported such vegetation.

what occurs when a reaction reaches equilibrium

Answers

Answer: the rate of the forward reaction is equal to the rate of the reverse reaction

Explanation:

Final answer:

A chemical reaction reaches equilibrium when the rates of the forward and reverse reactions are equal, causing the reactant and product concentrations to remain constant, signifying a dynamic equilibrium. If disturbed, the system will adjust to restore equilibrium.

Explanation:

When a chemical reaction reaches equilibrium, it means that the rate of the forward reaction is equal to the rate of the reverse reaction. This state is referred to as a dynamic equilibrium because the reactions continue occurring but the concentrations of the reactants and products remain unchanged. The reaction quotient (Q) equates to the equilibrium constant (K) at this point, and the system's macroscopic properties stay constant. If the system at equilibrium is disturbed by changing conditions, such as a change in reactant concentration, the system will adjust itself to re-establish equilibrium according to Le Chatelier's principle.

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What is the mass of 2.64 moles of water

Answers

Answer:

47.5603392 grams

Explanation:

A 1.5L sample of a gas at 150kPa and 250K is changed to STP. What is the new volume?

Answers

Answer: The new volume is 2.4 L

Explanation:

Combined gas law is the combination of Boyle's law, Charles's law and Gay-Lussac's law.

The combined gas equation is,

[tex]\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}[/tex]

where,

[tex]P_1[/tex] = initial pressure of gas = 150 kPa

[tex]P_2[/tex] = final pressure of gas =  101 kPa (at STP)

[tex]V_1[/tex] = initial volume of gas = 1.5 L

[tex]V_2[/tex] = final volume of gas = ?

[tex]T_1[/tex] = initial temperature of gas = 250 K

[tex]T_2[/tex] = final temperature of gas = 273 K ( at STP)

Now put all the given values in the above equation, we get:

[tex]\frac{150\times 1.5}{250}=\frac{101\times V_2}{273}[/tex]

[tex]V_2=2.4L[/tex]

Thus the new volume is 2.4 L

To find the new volume at STP, the combined gas law is used. The initial conditions (150kPa, 1.5L, and 250K) are set equal to the final conditions at STP (101.3kPa, V2, and 273K), then solved for V2 to get the new volume in liters which is 2.42L.

To determine the new volume of the gas at standard temperature and pressure (STP), we can use the combined gas law which states that the ratio of the product of pressure and volume and the absolute temperature of a gas is constant, provided the amount of gas remains constant. For the 1.5L sample of a gas at 150kPa and 250K when changed to STP, we assume the STP conditions to be 0°C (or 273K) and 101.3kPa.

First, we convert the initial pressure to kPa if it is not already, and we confirm that the initial temperature is in Kelvin. Then we can plug our known values into the formula:

P1 * V1 / T1 = P2 * V2 / T2

Where P1 and V1 are the initial pressure and volume, T1 is the initial temperature, P2 and V2 are the final pressure and volume, and T2 is the final temperature at STP.

In this case, we have:

150kPa * 1.5L / 250K = 101.3kPa * V2 / 273K

When we solve for V2, we get:

V2 = (150kPa * 1.5L / 250K) * 273K / 101.3kPa

V2= 2.42L

Performing the calculation we get the new volume of the gas at STP which is 2.42L.

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