A sample of nitrogen gas, stored in a 29.1L container at 279.2K, exerts a pressure of 22.1atm. Calculate the number of moles of nitrogen gas in the container. Be sure your answer has the correct number of significant figures.Note: Reference the Fundamental constants table for additional information.
Question
A sample of nitrogen gas, stored in a 29.1L container at 279.2K, exerts a pressure of 22.1atm. Calculate the number of moles of nitrogen gas in the container. Be sure your answer has the correct number of significant figures.Note: Reference the Fundamental constants table for additional information.
Solution
To solve this problem, we will use the ideal gas law equation, which is PV = nRT.
Where: P = pressure V = volume n = number of moles R = ideal gas constant T = temperature
Given in the problem: P = 22.1 atm V = 29.1 L T = 279.2 K R = 0.0821 L.atm/(K.mol) (This is the value of R in these units)
We need to solve for n, the number of moles.
Rearranging the ideal gas law equation to solve for n gives us n = PV/RT.
Substituting the given values into this equation gives us:
n = (22.1 atm * 29.1 L) / (0.0821 L.atm/(K.mol) * 279.2 K)
Performing the calculation gives us:
n = 29.1 moles
So, there are approximately 29 moles of nitrogen gas in the container.
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