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Q.

A certain ideal gas expanded from state 1(2L, 10 atm) to state 2(5L, 5atm) against a constant external pressure of 1 atm. If initial temperature of gas is 400K and heat capacity for the process is 50 J/ºC. Then enthalpy change during the process is (1L atm = 100J)

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a

12 KJ

b

1.4 KJ

c

5.2 KJ

d

10 K

answer is B.

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Detailed Solution

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P1V1T1=P2V2T2

10×2400=5×5T2

T2=500 K

q=C(T2−T1)=50(500−400)=5​KJ

w=−1(V2−V1)=−1(5−2)=−3 L atm

=−0.3 KJ

ΔU=q+w

ΔU=5−0.3=4.7KJ

=4.7+(5×5−2×10)×100×10−3=5.2 KJ

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