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Part A: Acetylene, C2H2, can be converted to ethane, C2H6, by a process known as

ID: 507033 • Letter: P

Question

Part A:

Acetylene, C2H2, can be converted to ethane, C2H6, by a process known as hydrogenation. The reaction is

C2H2(g)+2H2(g)?C2H6(g)

Given the following data at standard conditions (all pressures equal to 1 atm and the common reference temperature 298 K), what is the value of Kp for this reaction?

In Part A, we saw that ?G?=?242.1 kJ for the hydrogenation of acetylene under standard conditions (all pressures equal to 1 atm and the common reference temperature 298 K). In Part B, you will determine the ?G for the reaction under a given set of nonstandard conditions.

Part B

At 25 ?C the reaction from Part A has a composition as shown in the table below.

What is the free energy change, ?G, in kilojoules for the reaction under these conditions?

Express your answer numerically in kilojoules.

Substance ?G?f
(kJ/mol) C2H2(g) 209.2 H2(g) 0 C2H6(g) ?32.89

Explanation / Answer

C2H2(g)+2H2(g)C2H6(g)

Kp = PC2H6 / PC2H2 * PH22

Kp = (5.25*10-2) / (4.85 * 5.152)

Kp = 0.000408

We know that,

G = G0 + R T lnKp

G = - 242.1 + (0.008314 * 298 * ln0.000408)

G = - 261.4 kJ