Thermal Properties of Matter

JEE Main level, single correct, medium

86 of 126

Question 86 of 126

100 g100 \mathrm{~g} of water is heated from 30∘C30^{\circ} \mathrm{C} to 50∘C50^{\circ} \mathrm{C}. Ignoring the slight expansion of the water, the change in its internal energy is (specific heat of water is 4148 J/kg/K4148 \mathrm{~J} / \mathrm{kg} / \mathrm{K} ):

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Answer: (A) 8.4 kJ8.4 \mathrm{~kJ}

ΔQ=ΔU+ΔW\Delta \mathrm{Q}=\Delta \mathrm{U}+\Delta \mathrm{W} (ignoring expansion)
ΔU=msΔT=0.1×4.184×20=8.368 kJ\Delta \mathrm{U}=\mathrm{ms} \Delta \mathrm{T}=0.1 \times 4.184 \times 20=8.368 \mathrm{~kJ}

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