In an experiment, a sphere of aluminium of mass 0 . 20   kg is heated up to 150 ° C . Immediately,…

In an experiment, a sphere of aluminium of mass 0.20 kg is heated up to 150°C . Immediately, it is put into water of volume 150 cc at 27oC kept in a calorimeter of water equivalent to 0.025 kg . The final temperature of the system is 40oC . The specific heat of the aluminium is(take 4.2 Joule=1 calorie )
  1. 434 J kg-1 oC
  2. 378 J kg-1°C
  3. 315  J kg-1 oC
  4. 476  J kg-1 oC

Solution

Let S be the specific heat of aluminium

Q given = Q used

⇒1000×0.2×S×(150−40)=150×1×(40−27)+25×1×(40−27)

⇒200×S×110=150×13+25×13

⇒S=13×175200×110=0.1034 cal g-1 °C

⇒S=103.4 ×4.2 J kg-1 °C=434 J kg-1°C

Asked in: JEE Main 2017 (08 Apr Online)

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