Chapter 15, Problem 114QGW

Solid ${\text{CaCO}}_{\text{3}}$ decomposes into solid CaO and gaseous ${\text{CO}}_{\text{2}}$. The concentration of ${\text{CO}}_{\text{2}}$ in an equilibrium mixture of this reaction measured as a function of temperature, and the results are shown. Study the graph and answer the questions.

Carbon dioxide concentration (M) in equilibrium with calcium carbonate and calcium oxide

(a) Write a balanced chemical equation for the reaction.

(b) Write an equilibrium constant expression for the reaction.

(c) What is the value of the equilibrium constant at 950 K? At 1050 K?

(d) What mass of carbon dioxide is present in a 1.00-L reaction vessel at equilibrium at 1000 K?

(e) What minimum mass of ${\text{CaCO}}_{\text{3}}$ is required to produce the mass of carbon dioxide in part d?