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Question

A liquid of density 0.85g/cm3 flows through a calorimeter at the rate of 8.0cm3/s . heat is added by means of a 250W electric heating coil and a temperature difference of 150C 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
0.6kcal/kgK
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B
0.3kcal/kgK
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C
0.5kcal/kgK
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D
0.4kcal/kgK
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Solution

The correct option is A 0.6kcal/kgK
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
2504186kcal

The volume of liquid flowing out per second =8.0cm3=8×106m3
Mass of this liquid=(0.85)×1000×8×106kg
Temperature rise of this mass of liquid=15∘C
hence
2504186=mst=0.85×8×103×s×15
hence'

s=0.6 kcal/kgK

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