ThermodynamicsHard

Question

An average human produces about 10 MJ of heat each day through metabolic activity. If a human body were an isolated system of mass 80 kg with the heat capacity of water, what temperature rise would the body experience? Heat capacity of water = 4.2 J/K-g.

Options

A.29.76°C
B.2.976 K
C.2.976 × 104 °C
D.0.029°C

Solution

$q = ms\Delta T$

$\Rightarrow 10 \times 10^{6} = 80 \times \left( 4.2 \times 10^{4} \right) \times \Delta T $$$\Rightarrow \Delta T = 29.76K = 29.76^{o}C$$

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