`200` g of water is heated from `40^(@)C "to" 60^(@)C` . Ignoring the slight expansion of water , the change in its internal energy is closed to (Given specific heat of water = `4184 J//kg//K`):

Options

A. 167.4 kJ
B. 8.4 kJ
C. 4.2 kJ
D. 16.7 kJ

Answer

D

Explanation

Volume of water does not change, no work is done on or by the system (W = 0)
According to first law of thermodynamics Q = AU + W
For Isochoric process Q = AU AU
`DeltaU = mucdT =2 xx 4184 xx 20 = 16.7` kJ