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Question: A person weighing 50 kg takes in 1500 k Cal diet per day. If this energy were to be used in heating ...

A person weighing 50 kg takes in 1500 k Cal diet per day. If this energy were to be used in heating the body of person without any losses, then the rise in his temperature is (specific heat of human body

A

30 °C

B

48 °C

C

40.16 °C

D

36.14 °C

Answer

36.14 °C

Explanation

Solution

Here , m = 50 kg = 50 × 103g10^{3}g

ΔQ=1500kcal=1.5×106cal\Delta Q = 1500kcal = 1.5 \times 10^{6}cal

s=0.83calg1C1s = 0.83calg^{- 1}{^\circ}C^{- 1}

As ΔQ=msΔT\Delta Q = ms\Delta T

ΔT=ΔQms=1.5×10650×103×0.83=36.14C\Delta T = \frac{\Delta Q}{ms} = \frac{1.5 \times 10^{6}}{50 \times 10^{3} \times 0.83} = 36.14{^\circ}C