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Q.

The coefficient of thermal expansion, α, is nearly constant for a liquid α=1VdVdTPAt 293 K and 1 atm for water α=2.1 K-1What is the approximate work done when 1 mole of liquid is heated from 288 K to 298 K at 1 atm ? Molar volume of liquid = 18 ml ?

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a

-78.25 kJ

b

78.15 J

c

-37.8 J

d

-83.14 J

answer is C.

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Detailed Solution

dV=αVdT ∆W=-∫PdV=-αV ×P∫T1T2 dT or     ∆W=-2.1 ×18×10-6 ×105 × 10 J or     ∆W=-2.1 ×18 J or     ∆W=- 37.8 J
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