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(D) The increase in internal energy $(\Delta U)$ of a substance when heated is equal to the heat energy $(Q)$ absorbed by it, provided there is no cha

Vedclass · Accepted Answer

$210$

Vedclass · Answer

(D) The increase in internal energy $(\Delta U)$ of a substance when heated is equal to the heat energy $(Q)$ absorbed by it, provided there is no change in state or external work done.
Using the formula for heat absorbed: $Q = m \cdot c \cdot \Delta T$
Given:
Mass $(m)$ = $5 \ kg$
Specific heat capacity $(c)$ = $4200 \ J \ kg^{-1} \ K^{-1}$
Change in temperature $(\Delta T)$ = $30^{\circ} C - 20^{\circ} C = 10^{\circ} C = 10 \ K$
Substituting the values:
$Q = 5 \ kg 	imes 4200 \ J \ kg^{-1} \ K^{-1} 	imes 10 \ K$
$Q = 210000 \ J$
$Q = 210 \ kJ$
Therefore, the increase in internal energy is $210 \ kJ$.

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