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?

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Answer 1 · 2014-06-27T23:08:16

In this questions certain # are given, # 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 #mol^-1##K^-1# )

V= 57 mol x 0.08206 L atm #mol^-1##K^-1# x 100K / 5 atm

V= 467.742 L atm / 5 atm = 93.54 L