A steam engine depends on what kind of energy conversation

How does the density of a gas depend on the molar mass of the gas?

AlladinOne [14]

Answer:

The density of the ideal gas is directly proportional to its molar mass.

Explanation:

Density is a scalar quantity that is denoted by the symbol ρ (rho). It is defined as the ratio of the mass (m) of the given sample and the total volume (V) of the sample.

$\rho = \frac{m}{V}$ ......equation (1)

According to the ideal gas law for ideal gas:

$PV = nRT$ ......equation (2)

Here, V is the volume of gas, P is the pressure of gas, T is the absolute temperature, R is Gas constant and n is the number of moles of gas

As we know,

The number of moles: $n = \frac{m}{M}$

where m is the given mass of gas and M is the molar mass of the gas

So equation (2) can be written as:

$PV = \frac{m}{M}RT$

⇒ $PM= \frac{m}{V} RT$

⇒ $\frac{PM}{RT}= \frac{m}{V}$ ......equation (3)

Now from equation (1) and (3), we get

$\frac{PM}{RT}= \frac{m}{V} = \rho$

⇒ Density of an ideal gas: $\rho = \frac{PM}{RT}$

⇒ <em>Density of an ideal gas: ρ ∝ molar mass of gas: M</em>

<u>Therefore, the density of the ideal gas is directly proportional to its molar mass. </u>

6 0

3 years ago

In a sample containing 100 atoms of X, 70 were found to be 9X while 30 were 11X isotopes. Determine the average relative atomic

Burka [1]

The average relative atomic mass of a sample containing 100 atoms of X, 70 were found to be 9X while 30 were 11X isotopes is 9.6g.

<h3>What is Atomic mass? </h3>

Atomic mass is defined as the whole mass of an atom.

It is also defined as the sum of atomic number and number of neutrons.

Atomic mass = Atomic number + neutrons

<h3>What is Isotopes?</h3>

Isotopes are the those element which have same atomic number but have different mass number and number of neutrons.

The average relative atomic mass can be calculated as

mass of isotopes/ mass of sample

mass of all isotopes = (70 × 9X) + (30 × 11X)

=(630 + 330) X

= 960X

Average relative atomic mass = 960X/ 100 X

= 9.6 g

Thus, we concluded that the average relative atomic mass of a sample containing 100 atoms of X, 70 were found to be 9X while 30 were 11X isotopes is 9.6g.

learn more about atomic mass:

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5 0

1 year ago

Calculate the molarity of a sugar solution if 4 liters of the solution contains 12 moles of sugar.

castortr0y [4]

Answer:

3M

Explanation:

Molarity is one of the measures of the molar concentration of a solution, which can be calculated by using the formula below:

Molarity = number of moles ÷ volume

From the information given in this question, 4 liters of a solution contains 12 moles of sugar. This means that n = 12mol and V = 4L

Molarity = n/V

Molarity = 12/4

Molarity = 3

Hence, the molarity of the sugar solution is 3mol/L or 3M

8 0

2 years ago

4.2 g of lithium (Li) reacts with 2.8 g of nitrogen (N2). Find the simplest molar ratio in which lithium reacts with nitrogen.

o-na [289]

The simplest molar ratio in which lithium reacts with nitrogen is 6 moles of lithium to 1 mol of nitrogen.

What is molar ratio?

A molar ratio examines the ratio that exist between two chemical compounds showing the amounts in moles of the compounds involved in a chemical reaction.

Molar ratio = amount of a constituent in moles ÷ total amount of all constituents in a mixture in moles

Given:

Mass of lithium (Li) = 4.2 g

Mass of nitrogen (N2) = 2.8 g

Total amount of mass = 7g

Moles = molecular weight ÷ mass of water

Moles of lithium (Li) = 4.2 ÷ 7 = 0.60 mol

Moles of nitrogen (N₂) = 2.8 ÷ 7 = 0.10 mol

Therefore, ratio Li : N₂ = 0.60 : 0.10 = 6 : 1

6 Li + N₂

The balanced equation between lithium and nitrogen, to form lithium nitride = 6 Li + N₂ → 2 Li₃N₆L i + N₂ → 2Li₃N

In summary, the simplest molar ratio in which lithium reacts with nitrogen is 6:1

Learn more about molar ratio here: brainly.com/question/14677248

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8 0

10 months ago

What is the carrier molecule

creativ13 [48]

Explanation:

A carrier molecule is, A role in transporting electrons through the electron transport chain carrier molecules are usually poetries bond to a non-protein group they can undergo oxidation and reduction

6 0

3 years ago

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