Answer to Question #185231 in General Chemistry for Suhayb Dahir

Question

A sample of nitrogen gas collected at a pressure of 1.16 atm and a temperature of 29.0 °C is found to occupy a volume of 20.9 liters. How many moles of N₂ gas are in the sample____  mol

Answer 1

Here we will apply the Ideal Gas Law;

PV=nRT

Solving for n we have;

$n=\dfrac{PV}{RT}$

P = 1.16 atm

V = 20.9 L

T = (29.0 ^oC + 273) = 302 K

Since P is in atm we use R = 0.03205 L*atm*mol^-1*K^-1

Therefore;

$n=\dfrac{1.16atm x 20.9L}{0.03205Latmmol^-1K^-1x302K} = 2.505 mol$

Moles of N2 in the sample is 2.505 mol