200,g water is heated from 40,^oC to 60,^oC. Ignoring slight expansion of water, change in its inter

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11.Thermodynamics

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$200\,g$ water is heated from $40\,^oC$ to $60\,^oC.$ Ignoring the slight expansion of water, the change in its internal energy is close to ...... $kJ$ (Given specific heat of water $=4184\,J/kgK$ )

A

$167.4$

B

$8.4$

C

$4.2$

D

$16.7$

(JEE MAIN-2016)

Solution

Volume of water does not change, no work is done on or by the system $(W=0)$

According to first law of thermodynamics

$Q = \Delta U + W$

For Isochoric process $Q = \Delta U$

$\Delta U = \mu cdT = 2 \times 4184 \times 20 = 16.7\,kJ.$

Standard 11

Physics

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