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Gas X has a density of 2.60/L at STP. Determine the molar of this gas.

Question:

Gas X has a density of 2.60/L at STP. Determine the molar of this gas.

Molar Mass:

The molar mass of a substance is the mass of 1 mol of that substance. Now,1 mol of a molecule has Avogadro's number of that molecule. So, the mass of Avogadro's number of molecule is the molar mass.

Answer and Explanation:

STP is the standard temperature(273K) and Pressure(1 atm).

Consider X as an ideal gas. So, it follows the ideal gas equation.

Now, from the ideal gas equation, PV=nRT, where P=pressure V=Volume, n=number of moles, R= Gas constant and T=Temperature.

Substitute n=m/M where m=mass and M=Molar mass and rearrange the equation.

  • {eq}M= \frac{D \ R \ T}{P} {/eq}

D=Density=m/V.

Now, put the data to find the value of M.

  • {eq}M= \frac{(2.6 \ g/L)(0.082 L \ atm \ mol^{-1} \ K^{-1})(273K)}{1 \ atm} {/eq} = 58.2 g/mol.

Hence, the molar mass of Gas X= 58.2g/mol.


Learn more about this topic:

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What is Molar Mass? - Definition, Formula & Examples

from General Studies Science: Help & Review

Chapter 27 / Lesson 24
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