Consider the high-temperature equilibrium 2 , SO _2(g)+ O _2(g) 2 , SO _3(g) in a…

CHEMISTRY · Multi-part · A Level · Chemistry · Gaseous equilibria (Kp) · Gaseous equilibria (Kp)

Problem

Consider the high-temperature equilibrium

2\,\text{SO}_2(g)+\text{O}_2(g)\rightleftharpoons2\,\text{SO}_3(g)

in a 10.0 L reaction vessel at 700 K. The initial partial pressures are

P_{\text{SO}_2}=0.500\;\text{bar}

P_{\text{O}_2}=0.300\;\text{bar}

P_{\text{SO}_3}=0.200\;\text{bar}.

After the system reaches equilibrium, the pressure exerted by

\text{SO}_3(g)

is found (by chemical absorption) to be 0.280 bar. Respond to the tasks below, showing all work. (a) Determine the equilibrium partial pressures of

\text{SO}_2(g)

and

\text{O}_2(g)

in the vessel. (b) Calculate the value of

K_p

for this reaction at 700 K. (c) Using appropriate thermodynamic relationships, convert the value obtained in part (b) to

K_c

for 700 K.