Answer to Question #188889 in General Chemistry for MADHURA

Question

calculate the molar volume of argon at 100'C and 100 atm on the assumption that it is a van der Waals gas

Answer 1

Molar volume is the volume occupied by one mole of gas at room temperature and pressure

PV=nRT

P = pressure = 100 atm

V= volume of gas

n= 1 mole

R= 0.82057 $l\ atm\ mol^{-1}\ k^{-1}$

T= Temperature =$100^{o}\ C$ =$100^{o}\ C\ +273.15=373.15\ K$

PV=nRT , Now deviding by volume on both side of the equation

V = $\dfrac{nRT}{P}$..........1) , we know that N=$\dfrac{m}{M}$ ,m = mass of gas , M = molar mass of gas

In equation .....1) , multiplying by molar mass of gas to both side of equation .

V=$\dfrac{nRT}{P}=\dfrac{1\times 0.82057\times373.15}{100}=3.0619\ L$