What is the pressure of 5.0 mol nitrogen (N2) gas in a 2.0 L container at 268 K?(The universal gas constant is 0.0821 L•atm/mol•K.)A.8.8 atmB.0.018 atmC.55 atmD.220 atm
Question
What is the pressure of 5.0 mol nitrogen (N2) gas in a 2.0 L container at 268 K?(The universal gas constant is 0.0821 L•atm/mol•K.)A.8.8 atmB.0.018 atmC.55 atmD.220 atm
Solution
To solve this problem, we can use the ideal gas law equation, which is:
PV = nRT
Where: P is the pressure we want to find, V is the volume of the container, n is the number of moles of the gas, R is the universal gas constant, and T is the temperature in Kelvin.
Given: n = 5.0 mol, V = 2.0 L, R = 0.0821 L•atm/mol•K, and T = 268 K.
We can rearrange the equation to solve for P:
P = nRT / V
Substituting the given values into the equation:
P = (5.0 mol * 0.0821 L•atm/mol•K * 268 K) / 2.0 L
P = 54.9 atm
So, the closest answer is C. 55 atm.
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