Question

A house is built with a granite countertop. The heat capacity of the countertop is 158.5 kJ/°C. A hot pan of water is placed on the countertop, and 5000 J of heat energy is transferred into the countertop. By how much does the temperature of the countertop change?

Answer 1

The temperature of the countertop changes by 0.032 °C

The quantity of heat transferred to the countertop is given by

Q = CΔT where Q = quantity of heat transferred to the countertop = 5000 J = 5 kJ, C = heat capacity of the countertop = 158.5 kJ/°C and ΔT = temperature change of the countertop.

Since we require the temperature change of the countertop, we make ΔT subject of the formula.

So, ΔT = Q/C

So, substituting the values of the variables into the equation, we have

ΔT = Q/C

ΔT = 5 kJ/158.5 kJ/°C

ΔT = 0.032 °C

So, the temperature of the countertop changes by 0.032 °C

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