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Question
10 kg of four different gases (Cl2, CH4, O2, N2) expand isothermally and reversibly from 20 atm to 10 atm. The order of amount of work will be ____________.
Options
Cl2 > CH4 > O2 >N2
CH4 < N2 < O2 < Cl2
O2 > N2 > CH4 > Cl2
CH4 > N2 > O2 > Cl2
MCQ
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Solution
10 kg of four different gases (Cl2, CH4, O2, N2) expand isothermally and reversibly from 20 atm to 10 atm. The order of amount of work will be CH4 > N2 > O2 > Cl2.
Explanation:
Since molecular mass, CH4 > N2 > O2 > Cl2, so the order of number of moles would be reversed as work of expansion is given by
W = −Pext × ΔV
PextΔV = ΔngRT
∴ W = −nRT, i.e, `"w" ∝ -"n"`
∴ The order of amount of work will be: CH4 > N2 > O2 > Cl2
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First Law of Thermodynamics
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