a 40-lb container of peat moss measures 14x20x30 in. a 40-lb container of topsoil has a volume of 1.9 gal. (a) calculate the average densities of peat mass and topsoil in units of g/cm3. would it be correct to say that peat moss is "lighter" than topsoil? explain. (b) how many bags of the peat moss are needed to cover an area measuring 10 ft. by 20 ft. to a depth of 20 in.?

Answers

Answer 1
Final answer:

The average density of peat moss comes out to be 0.000013 g/cm3 and that of top soil is 0.002522 g/cm3, making the peat moss 'lighter' in comparison. Seven bags of peat moss are needed to cover a 10ft by 20ft area to a depth of 20 in.

Explanation:

First, we need to convert everything into uniform units. In this case, that would be grams and cubic centimeters.
We know that 1 lb = 453.592 g and 1 in.3 = 16.387 cm3, and 1 gal = 3785.41 cm3. Hence,
40 lb = 18143.68 g
and the volume of peat moss = 14 * 20 * 30 in.3 = 84,000 in.3 = 1,376,522.8 cm3
Similarly, volume of topsoil = 1.9 gal = 7192.279 cm3.
So, the average density of peat moss = weight / volume = 18143.68 g / 1,376,522.8 cm3 = 0.000013 g/cm3 and
the average density of topsoil = 18143.68 g / 7192.279 cm3 = 0.002522 g/cm3.

As density is mass per unit volume, the substance with a higher density is 'heavier' for the same volume. Here, the topsoil has a higher density than peat moss; hence it's correct to say that peat moss is 'lighter' than topsoil.

For part B, we need to find out how many bags are needed to cover an area of 10*20 ft.2 to a depth of 20 in. The volume needed = length*width*depth = 10 * 20 * 20/12 ft.3 = 333.33 ft3 = 9445044.416 cm3. Therefore, the number of bags = volume needed / volume of one bag = 9445044.416 cm3 / 1,376,522.8 cm3 = 6.86. As we can't buy a fraction of a bag, we round up to 7 bags.

Learn more about Density calculations here:

https://brainly.com/question/30804235

#SPJ12


Related Questions

Modern atomic theory states that the atom is a diffuse cloud of ________ surrounding a small, dense nucleus.
A) electron
B) neutron
C) proton
D) quark

Answers

Answer:

Electron.

Explanation:

According to modern atomic theory, the electron position is not considered to be discrete  or fix. We say that there is probability of finding electron in particular area around the nucleus. so this we call as that atom is a diffuse cloud of electrons surrounding a small dense nucleus.

The electron density is maximum in shells.

Final answer:

The modern atomic theory states that the atom is a diffuse cloud of electrons surrounding a small, dense nucleus.

Explanation:

The correct answer is (A) electron.

Modern atomic theory states that the atom is a diffuse cloud of electrons surrounding a small, dense nucleus. The electrons are negatively charged particles that orbit the nucleus in specific energy levels or shells. This model of the atom was proposed by Niels Bohr in 1913 and is known as the Bohr model.

For example, in a hydrogen atom, there is one electron orbiting the nucleus. In oxygen, there are eight electrons arranged in two energy levels, with two in the first level and six in the second level.

Learn more about Atomic Structure here:

https://brainly.com/question/7328982

#SPJ6

How many protons (p) and neutrons (n) are in an atom of magnesium-26?

Answers

Well first of all, we know that the atomic mass of magnesium is 26 due to the fact that it is stated. We can then go to the periodic table and find the atomic number of magnesium, which is 12. We then subtract, 26 - 12 = 14. 

Protons - 12
Neutrons - 14
Final answer:

An atom of magnesium-26 has 12 protons and 14 neutrons. The number of protons is determined by the atomic number of magnesium (12). The number of neutrons is calculated by subtracting the atomic number from the mass number (26 - 12 = 14).

Explanation:

For an atom of magnesium-26 (26Mg), you need to understand its atomic structure. The atomic number of magnesium is 12, which states that a magnesium atom always contains 12 protons in its nucleus. This number defines the identity of an element and is always constant.

Magnesium-26 refers to an isotope of magnesium, where 26 represents the mass number. The mass number is the addition of the protons (p) and the neutrons (n) in an atom. In the case of magnesium-26, we already know there are 12 protons. Subtract the atomic number (number of protons) from the mass number to get the number of neutrons. That is, 26 - 12 = 14 neutrons.

So, an atom of magnesium-26 (26Mg) has 12 protons and 14 neutrons.

Learn more about Atomic Structure here:

https://brainly.com/question/33054877

#SPJ2

Other Questions
Compare the use of carbohydrates and lipids in energy storage. Why did the banker open the sealed door before november 14, 1855 What happens to the amount of hydrogen bonding between water molecules as water is heated up? The length of a rectangle is 18 cm less than five times it's width. It's area is 35 cm. Find the dimensions of the rectangle. subtracting 3 from the product of 6 and a number results in the number added to 52. how would i write this out When you are in _______ cell in a row of a table, pressing Tab moves the insertion point to the first cell in the next row. A. the center B. any C. the first D. the last Which sentence is the hook in this introductory paragraph?For the first time in decades, Baby Boomers have been outnumbered by another group--the Millennials. Baby Boomers, who were born in the '40s and '50s, are nearing or are in their elder years. Millennials, born in the twenty years leading to 2000, are now young adults. Now that they are in the majority, there are many areas where the Millennials may impact our society and priorities. A. For the first time in decades, Baby Boomers have been outnumbered by another group--the Millennials. B. Now that they are in the majority, there are many areas where the Millennials may impact our society and priorities. C. Baby Boomers, who were born in the '40s and '50s, are nearing or are in their elder years. D. Millennials, born in the twenty years leading to 2000, are now young adults. What must be done to be sure a chemical change has taken place? According to historical records, what did the Aztecs expect those in captured regions to do?A)They had to give their personal stones and jewels to the Aztec rulers.B)They had to sacrifice their children to the Aztec gods for the benefit of the rulers.C)They had to pay tribute to the rulers in the form of items such as paper and food.D)They had to follow the rulers orders to leave the Aztec empire in order to control the population.E)They had to give up their freedom and serve the rulers as slaves. Why is water considered to be abiotic?*Because it is not part of the bioshpere *Because it came from something non living *Because it is dead *Because it never lived explain two ways in which the constitution shows that the farmers distrusted men Which function below is the inverse of f(x) = x2 9? square root of the quantity x plus 9 x squared over 9 three times the square root of x 1 over quantity x squared minus 9? The most significant part of a persons self concept Why did the Dutch send families to settle in America?to begin an experiment in religious freedomto evangelize the Indiansto secure their land claimsto oversee the fur trade with the Indians which of following means " as a child " in spainsh Drag each label into the appropriate position to indicate whether each given item is related to carbohydrates, proteins, or lipids. A tale told by a character within a framing fictional narrative is called _____. a cause-and-effect relationship a theme an epiphany a story within a story In the 1780's what evidence shows that the early government of the United States was not as strong and united as its founders had hoped it would be? Voluntary behavior whose repeated performance is dependent on whether it works to avoid or obtain certain consequences is part of: he imaginary line which passes through north and south pole upon which the earth rotates once every 24 hour is called the Steam Workshop Downloader