A 1.0 mole sample of ideal gas is kept at 0.0C (C= Celsius) during an expansion
ID: 1700404 • Letter: A
Question
A 1.0 mole sample of ideal gas is kept at 0.0C (C= Celsius) during an expansion from 3.0L to 10.0L (L= Liters) The gas constant is R= 8.31 J/mol x K.
(a) How much work is done during the expansion? (note: an external agent imposes the expansion on the gas, i.e, work is "flowing from the external agent into the gas).
(b) How much energy transfer by heat occurs between the gas and its surroundings in this process?
(c) If the gas returns to the original volume by means of an isobaric process, how much work is done on the gas? (Note: now the gas is returning to its original state, i.e, not with assistance of an external agent.)
(please be sure to show ALL work and calculations! Thanks!)
Explanation / Answer
No.of moles n = 1 mol temperature T = 0 oC = 0 + 273 = 273 K Initial volume V = 3 L final volume V ' = 10 L gas constant R = 8.314 J / mol K it is an isothermal process.So, work done W = nRT ln( V ' / V ) = 2732.68 J
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