In a container of negligible heat capacity, 100 g of a liquid at 20°C is heated. Its specific heat varies with temperature as s=(100T+500) J kg⁻¹ °C⁻¹, where T is in °C. Find the heat required to raise its temperature to 40°C.
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Question

In a container of negligible heat capacity, 100 g of a liquid at 20°C is heated. Its specific heat varies with temperature as s=(100T+500) J kg⁻¹ °C⁻¹, where T is in °C. Find the heat required to raise its temperature to 40°C.

Options

G1 Physics · Accepted Answer

Apply energy conservation. Sensible heat is Q=mcΔT and phase-change heat is Q=mL. Heat lost by hotter parts equals heat gained by colder parts. Evaluating the given data/statements gives C: 7000 J. Therefore the correct answer is C.