Question

A sample of nitrogen gas is confined to a 14.0 L container at 375 torr and 37.0°C. How many moles of nitrogen are in the container?

Answer 1

Answer:

n = 0.271 moles

Explanation:

Given that,

Volume of container, V = 14 L

Pressure of Nitrogen gas, P = 375 torr

Temperature. T = 37°C=37+273=310°C

We need to find the number of moles of nitrogen in the container. Using gas equation,

PV = nRT

R is gas constant, R = 0.082 L-atm/mol-K

Since, 1 atm=760 torr

375 torr = 0.493 atm

Now,

$n=\dfrac{PV}{RT}\\\\n=\dfrac{0.493\times 14}{0.082\times 310}\\\\n=0.271$

So, there are 0.271 moles of Nitrogen in the container.