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A liquid of d...

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A liquid of density $0.85 g / c m^{3}$ flows through a calorimeter at the rate of $8.0 c m^{3} / s$ . Heat is added by means of a $250 W$ electric heating coil and a temperature difference of $15^{\circ} C$ is establised in steady-state conditions between the inflow and the outflow points of the liquid. The specific heat for the liquid will be

A

0.6 k c a l / k g K

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B

0.3 k c a l / k g K

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C

0.5 k c a l / k g K

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D

0.4 k c a l / k g K

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Solution

The correct option is B $0.6 k c a l / k g K$
In one second, amount of heat supplied = amount of heat absorbed

$\Rightarrow p o w e r P = m a s s r a t e \times s p e c i f i c h e a t \times t e m p e r a t u r e d i f f e r e n c e$
$\Rightarrow$ specific heat= $\frac{250}{0.85 \times 8 \times 15} = 0.6 c a l / g K = 0.6 k c a l / k g K$

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