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A sample of 0.1 g of water at 100^(@)C a...

A sample of 0.1 g of water at `100^(@)C` and normal pressure `(1.013 xx 10^(5) N cdot m^(-2))` requires 54 cal of heat energy to convert to steam at `100^(@)C`. If the volume of the steam produced is `167.1` cc, the change in internal energy of the sample is

A

42.2 J

B

208. 7 J

C

104.3 J

D

84.5 J

Text Solution

Verified by Experts

The correct Answer is:
B

Initial volume = `(0.1)/(1) = 0.1 cm^(3)`
Final volume = `167.1 cm^(3)`
`Delta Q = Delta U + Delta W or, Delta Q = Delta U + p Delta V`
or, `54 xx 4.2 = Delta U + 1.013 xx 10^(5) xx (167.1 - 0.1) xx 10^(-6)`
or, `Delta U = 208.78 J`.
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