Step 1. Calculate for the molarity of CO_{2} at equilibrium

$\overline{){\mathbf{PV}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}{\mathbf{nRT}}}\phantom{\rule{0ex}{0ex}}\mathbf{n}\mathbf{}\mathbf{=}\mathbf{\hspace{0.17em}}\frac{\mathbf{PV}}{\mathbf{RT}}\mathbf{=}\frac{\mathbf{(}\mathbf{0}\mathbf{.}\mathbf{22}\mathbf{}\overline{)\mathbf{atm}}\mathbf{)}\mathbf{(}\mathbf{10}\mathbf{}\overline{)\mathbf{L}}\mathbf{)}}{\mathbf{(}\mathbf{0}\mathbf{.}\mathbf{08206}\mathbf{}\frac{\overline{)\mathbf{L}\mathbf{}\mathbf{atm}}}{\mathbf{mol}\mathbf{}\overline{)\mathbf{K}}}\mathbf{)}\mathbf{(}\mathbf{385}\mathbf{\hspace{0.17em}}\overline{)\mathbf{K}}\mathbf{)}}\phantom{\rule{0ex}{0ex}}\mathbf{n}\mathbf{}\mathbf{=}\mathbf{}\mathbf{0}\mathbf{.}\mathbf{0696}\mathbf{}\mathbf{mol}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\overline{){\mathbf{M}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}\frac{\mathbf{mol}\mathbf{}\mathbf{of}\mathbf{}\mathbf{solute}}{\mathbf{L}\mathbf{}\mathbf{solution}}}\phantom{\rule{0ex}{0ex}}\mathbf{M}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{0}\mathbf{.}\mathbf{0696}\mathbf{}\mathbf{mol}}{\mathbf{10}\mathbf{}\mathbf{L}}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{00696}\mathbf{}\mathbf{M}\phantom{\rule{0ex}{0ex}}$

Step 2. Setup the Keq expression

Recall that the ** equilibrium constant** is the ratio of the products and reactants. We use

$\overline{){{\mathbf{K}}}_{{\mathbf{p}}}{\mathbf{=}}\frac{{\mathbf{P}}_{\mathbf{products}}}{{\mathbf{P}}_{\mathbf{reactants}}}}\phantom{\rule{0ex}{0ex}}{\mathbf{K}}_{\mathbf{p}}\mathbf{}\mathbf{=}\mathbf{}\mathit{C}{\mathit{O}}_{\mathbf{2}}$

Recall CaCO_{3} and CaO are not included in the Kp expression since they are both in solid state

When 0.100 mol of CaCO_{3}(s) and 0.100 mol of CaO(s) are placed in an evacuated sealed 10.0-L container and heated to 385 K, P_{CO2} = 0.220 atm after equilibrium is established:

CaCO_{3}(s) ⇌ CaO(s) + CO_{2}(g)

An additional 0.300 atm of CO_{2}(g) is pumped in. What is the total mass (in g) of CaCO _{3} after equilibrium is re-established?

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Based on our data, we think this problem is relevant for Professor Heiden's class at Michigan Technological University.

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Our data indicates that this problem or a close variation was asked in Chemistry: The Molecular Nature of Matter and Change - Silberberg 8th Edition. You can also practice Chemistry: The Molecular Nature of Matter and Change - Silberberg 8th Edition practice problems.