1. Assuming the gases are ideal, calculate the amount of work done, in joules, f
ID: 919292 • Letter: 1
Question
1. Assuming the gases are ideal, calculate the amount of work done, in joules, for the conversion of 1.00 mole of Ni to Ni(CO)4 at 75°C in the reaction below. The value of R is 8.314 J/mol•K.
a) 1.80x10^3J b) 8.68x10^3J c) -1.80x10^3J d) -8.68x10^3J e) -494J
2. Assuming the gases are ideal, calculate the amount of work done, in joules, for the conversion of 2.00 mole of NO2 to N2O4 at 125°C in the reaction below. The value of R is 8.314 J/mol•K.
a) 1,040J b) 3,300J c) -3,300J d) 6,600J e) -1,040J
Explanation / Answer
1) Balanced chemical equation for conversion of 1.00 mole of Ni to Ni(CO)4 is
Ni(s) + 4 CO (g) -------------> Ni(CO)4 (g)
4 mol of gas 1 mol of gas
n = 1 mol - 4 mol = -3 mol
R = 8.314 J/mol•K
T = 75°C = 75 + 273 K = 348 K
Hence,
Work done W = - nRT
= -(-3 mol) (8.314 J/mol•K) (348 K)
= + 868 J
= + 8.68 x 103 kJ
W = + 8.68 x 103 kJ
Therefore, work done = + 8.68 x 103 kJ
2) Balanced chemical equation for conversion of 2.00 mole of NO2 to N2O4 is
2 NO2 (g) -------> N2O4 (g)
2 mol of gas 1 mol of gas
n = 1 mol - 2 mol = -1 mol
R = 8.314 J/mol•K
T = 125°C = 125 + 273 K = 398 K
Hence,
Work done W = - nRT
= -(-1 mol) (8.314 J/mol•K) (398 K)
= + 3308 J
W = + 3308 J
Therefore, work done = + 3308 J
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