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Specific Heat Capacity

A liquid of d...

Question

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 $15^{0} C$ is established 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 A $0.6 k c a l / k g K$
This is a problem on flow calorimeter used to measure specific heat of a liquid.
Amount of heat supplied to the water per second by the heating coil=QS=250J
$\frac{250}{4186} k c a l$

The volume of liquid flowing out per second =8.0cm3=8×106m3
Mass of this liquid $= (0.85) \times 1000 \times 8 \times 10^{6} k g$
Temperature rise of this mass of liquid=15∘C
hence
$\frac{250}{4186} = m s t = 0.85 \times 8 \times 10^{3} \times s \times 15$
hence'

$s = 0.6 k c a l / k g K$

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