In this problem, you calculate the error in assuming that ΔH^o_Ris independent of T for the reaction

2CuO(s) ‡‹ 2Cu(s) + O₂(g).

The following data are given at 25°C:

a. From Equation (6.65),

To a good approximation, we can assume that the heat capacities are independent of temperature over a limited range in temperature, giving ΔH^o_R (T) = ΔH^o_R (T₀) + ΔC_P(T ˆ’ T₀), where ˆ†C_P

By integrating Equation (6.65), show that

b. Using the result from part (a), calculate the equilibrium pressure of oxygen over copper and CuO(s) at 1275 K. How is this value related to K_p for the reaction 2CuO(s) ‡‹ 2Cu(s) + O₂(g)?

c. What value would you obtain if you assumed that ΔH^o_R were constant at its value for 298.15 K up to 1275 K?

Cu(s) CuO(s) 0,(g) Compound AH;(KJ mol1) AG; (KJ mol") -157 -130 |CE,m(KJ mol-1) 42.3 24.4 29.4 T, 1 AHR K,(T,) dIn Kp | dnkp K,(T,) RdT. R T?