1. Tardigrade
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  4. The specific heat of a metal at low temperatures varies according to S=(4 / 5) 73, where T is the absolute temperature. Find the heat energy (in SI unit) needed to raise the temperature of unit mass of the metal from T=1 K to T=2 K.

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Q. The specific heat of a metal at low temperatures varies according to $S=(4 / 5) 7^{3}$, where $T$ is the absolute temperature. Find the heat energy (in $SI$ unit) needed to raise the temperature of unit mass of the metal from $T=1\, K$ to $T=2\, K$.

Thermal Properties of Matter

Solution:

$Q=\int m S d T=\frac{m T^{4}}{5}$
$\Rightarrow \frac{Q}{m}=\frac{15}{5}=3$ unit