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Question: Answered & Verified by Expert
A liquid of density 0.85 g cm-3 flows through a calorimeter at the rate of 8.0 cm3 s-1. Heat is added by means of a 250 W electric heating coil and a temperature difference of 15° 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 (1 kcal =4186 J )
PhysicsThermodynamicsJEE Main
Options:
  • A 0.6 kcal kg-1K-1
  • B 0.3 kcal kg-1K-1
  • C 0.5 kcal kg-1K-1
  • D 0.4 kcal kg-1K-1
Solution:
1400 Upvotes Verified Answer
The correct answer is: 0.6 kcal kg-1K-1

This is a problem on 'flow calorimeter' used to measure the specific heat of the liquid.
Amount of heat supplied to the water per second by the heating coil = Qs = 250 J    = 2 5 0 4 1 8 6 kcal

The volume of liquid flowing out per second = 8.0 cm3 = 8 × 10-6 m3

Mass of this liquid = (0.85) × 1000 × 8 × 10-6 kg

The temperature rise of this mass of liquid = 15° C

Hence,   = 2 5 0 4 1 8 6 = mst = 0.85 × 8 × 1 0 - 3 × s × 1 5

Hence,  s=250×1034186×0.85×8×15=0.6 kcal kg-1K-1

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