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JEE Main
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Physics
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Experimental Physics

JEE Main · Physics · Experimental Physics

In an experiment on the specific heat of a metal, a 0.20 kg block...

In an experiment on the specific heat of a metal, a 0.20 kg block of the metal at 150°C is dropped in a copper calorimeter (of water equivalent 0.025 kg) containing 150 cm3 of water at 27°C. The final temperature is 40°C. The specific heat of the metal is -

Options

  1. A0.1 cal g–1 °C–1
  2. B0.2 cal g–1 °C–1
  3. C0.3 cal g–1 °C–1
  4. D0.4 cal g–1 °C–1

Correct answer

A. 0.1 cal g–1 °C–1

Step-by-step solution

Heat lost by the metal = Heat gain by water + calorimeter

0.20×103×c×(150−40)=175×13\text{0.20} \times 1{0}^{3} \times \text{c} \times \left(150 - 40\right) = 175 \times 13

c=175×13110×200≈0.1calg−1°C−1\text{c} = \dfrac{175 \times 13}{110 \times 200} \approx 0 . 1calg^{- 1} ° C^{- 1}

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