A walk -in cooler has a volume of 1.1 X 104 L. If the temperature inside the cooler is 3°C and the gas pressure is 1.0 atm, how many moles of gas are inside the cooler?

Question

Quizplus · Accepted Answer

Using the ideal gas law, $PV = nRT$, where $P = 1.0 \, \text{atm}$, $V = 1.1 \times 10^4 \, \text{L}$, $R = 0.0821 \, \text{L atm mol}^{-1} \text{K}^{-1}$, and $T = 3°C = 276 \, \text{K}$, we can solve for $n$, the number of moles of gas. Rearranging the equation gives $n = \frac{PV}{RT}$. Substituting the given values, $n = \frac{(1.0 \, \text{atm})(1.1 \times 10^4 \, \text{L})}{(0.0821 \, \text{L atm mol}^{-1} \text{K}^{-1})(276 \, \text{K})}$, which calculates to approximately $4.9 \times 10^2 \, \text{mol}$.

A Walk -In Cooler Has a Volume of 1