# If 57 moles of gas is held at a pressure of 5 atmospheres at a temperature of 100 Kelvin what volume would the gas occupy?

Jun 27, 2014

In this questions certain $a r e g i v e n ,$ of moles ,n = 57 mol, Pressure P = 5 atm, Temperature T = 100 K, Volume V = ?

We have to calculate the volume of the given moles of gas at specific temperature and pressure.

Using Ideal Gas equation;

PV = nRT

V = nRT /P ( R = gas constant = 0.08206 L atm $m o {l}^{-} 1$${K}^{-} 1$ )

V= 57 mol x 0.08206 L atm $m o {l}^{-} 1$${K}^{-} 1$ x 100K / 5 atm

V= 467.742 L atm / 5 atm = 93.54 L