Q.

When 1 gm of water changes from liquid to vapour phase at constant pressure of 1 atmosphere, the volume increases from 1cc to 1671cc. The heat of vaporization at this pressure is 540 cal/gm. Increase in internal energy of water is   

(1 atmosphere = 1.01×105N/m2)

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a

1200J   

b

2100 J

c

8200J

d

4200J

answer is D.

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Detailed Solution

m = 1gm = 1 × 10-3kg   P=1.01X1.01×105 N/m2  v=1671cc-1cc=1670cc

L = 540cal/gm; dU = ? 

Q = mL = 1 × 10–3 × 540 × 4.2 × 103 J

Q = 2268J

 W = PdV = PV2-V1 

dW = 1.01 × 105 × 1670 × 10-6 = 168.67J

ΔU = Q – W = 2268 – 168.67 = 2100J

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