EasyChemistryHigh School (11–12)States of MatterNumericalBoard Exam AP A-Level IB

A rigid vessel of 5.0 L holds 2.0 mol of an ideal gas at 300 K…

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A rigid vessel of $5.0\ \text{L}$ holds $2.0\ \text{mol}$ of an ideal gas at $300\ \text{K}$ . Find its pressure in kPa with $R = 8.314\ \text{kPa L K}^{-1}\ \text{mol}^{-1}$ , in bar with $R = 0.08314\ \text{L bar K}^{-1}\ \text{mol}^{-1}$ and in atm with $R = 0.08206\ \text{L atm K}^{-1}\ \text{mol}^{-1}$ . Then check that the three agree.

Need a reminder? The key ideaShow

$PV = nRT$ with $T$ in kelvin and $R$ chosen to match the units of $P$ and $V$ : $8.314\ \text{kPa L K}^{-1}\ \text{mol}^{-1}$ , $0.08314\ \text{L bar K}^{-1}\ \text{mol}^{-1}$ or $0.08206\ \text{L atm K}^{-1}\ \text{mol}^{-1}$ . For a fixed amount of gas, $P_1V_1/T_1 = P_2V_2/T_2$ . The molar mass is $M = dRT/P = mRT/(PV)$ .

The worked solution

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Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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