Calculate the expansion work done on the system when exactly 1 mol of solid ammonium chloride, nh4cl, decomposes completely to yield gaseous ammonia, nh3 and hydrogen chloride, hcl at a temperature of 1250 k. treat the expansion as irreversible and the gases formed as perfect.

Question

Chemistry

Uriah Liu

16 November, 19:11

Calculate the expansion work done on the system when exactly 1 mol of solid ammonium chloride, nh4cl, decomposes completely to yield gaseous ammonia, nh3 and hydrogen chloride, hcl at a temperature of 1250 k. treat the expansion as irreversible and the gases formed as perfect.

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Answers (1)

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Rene Avila · Answer 1

The expansion work on an irreversible system is equal to:

W = - PV

Assuming that the gas is ideal, therefore:

PV = nRT

[P=pressure, V=volume, n=number of moles, R=gas constant, T=absolute temperature]

Therefore,

W = - nRT

W = - (1 mol) * (8.314 J / mol K) * (1250 K)

W = - 10,392.50 J

Therefore about 10,392.50 J or 10.4 kJ of work is done on the system.