CHEM 340 Harry S Truman College Physical Chemistry for Biochemists Questions

Chemistry 340 Physical Chemistry for Biochemists IFall 2022
HOMEWORK SET No. 7
This homework set is due on Friday, October 21, 2022
1.
For the reaction N 2 (g) + 3H 2 (g) = 2NH 3 (g) =
K 1.60 ×10−4 at 400 C . Calculate (a)
∆ r G o and (b) ∆ r G when the pressures of N2 and H2are maintained at 10 and 30 bar,
respectively and NH3 is removed at a partial pressure of 3 bar. (c) Is the reaction
spontaneous under the latter conditions?
2.
3.
At 1:3 mixture of nitrogen and hydrogen was passed over a catalyst at 450 °C. It was found
that 2.04% by volume of ammonia was formed when the total pressure was maintained at
10.13 bar. Calculate the value of K for 1/2N 2 (g) + 3/2H 2 (g) = NH 3 (g) at this temperature.
At 55 °C and 1 bar the average molar mass of partially dissociated N2O4 is 61.2 g mol−l.
Calculate (a) ξ and (b) K for the reaction N2O4 (g) = 2NO2 (g). (c) Calculate ξ at 55 °C if
the total pressure is reduced to 0.1 bar.
4.
A 1-liter reaction vessel containing 0.233 mol of N2 and 0.341 mol of PCl5 is heated to 250
°C. The total pressure at equilibrium is 29.33 bar. Assuming that all the gases are ideal,
calculate K for the only reaction that occurs.
5.
An evacuated tube containing 5.96X10−3 mol L-1 of solid iodine is heated to 973 K. The
experimentally determined pressure is 0.496 bar. Assuming ideal gas behavior, calculate K
for I2 (g) = 2I (g).
6.
Nitrogen trioxide dissociates according to the reaction
N=
NO 2 (g) + NO(g)
2 O 3 (g)
When one mole of N2O3 (g) is held at 25 °C and 1 bar total pressure until equilibrium is
reached, the extent of reaction is 0.30. What is ∆ r G o for this reaction at 25 °C?
7.
For the reaction
2HI(g)
= H 2 (g) + I 2 (g)
at 698.6 K, K = 1.83 X 10-2. (a) How many grams of hydrogen iodide will be formed when
10 g of iodine and 0.2 g of hydrogen are heated to this temperature in a 3 L vessel? (b) What
will be the partial pressures of H2, I2, and HI?
8.
Express K for the reaction
1
CO(g) + 3H 2 (g) = CH 4 (g) + H 2 O(g)
in terms of the equilibrium extent of reaction ξ when one mole of CO is mixed with one
mole of hydrogen.
9.
What are the percentage dissociations of H2 (g), O2 (g) and I2(g) at 2000 K and a total
pressure of 1 bar?
10.
In order to produce more hydrogen from “synthesis gas” (CO + H2) the water gas shift
reaction is used.
CO(g) + H 2 O(g) = CO 2 (g) + H 2 (g)
Calculate K at 1000 K and the equilibrium extent of reaction starting with an equimolar
mixture of CO and H2O.
2

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