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?

The ideal gas law, also called the general gas equation, is the equation of the state of a hypothetical ideal gas.

The ideal gas law work under the constant:-  

Hence the formula we gonna use is as follows:-

In the question, the pressure, temperature, and volume are given in two different systems.

As the date given in the question, after putting it into the equation:-

n= 0.271.

The number of moles in the nitrogen container is 0.271.

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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,

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