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QJEEM17Ph05f2: JEE Main 2017 Physics - Class 11 JEEM17Ph05f2 Solution: In an experiment, a sphere of aluminium of mass 0.20 kg is…

In an experiment, a sphere of aluminium of mass 0.20 kg is heated upto 150oC. Immediately, it is put into water of volume 150 cc at 27oC kept in a calorimeter of water equivalent to 0.025 kg. Final temperature of the system is 40oC. The specific heat of aluminium is : (take 4.2 Joule = 1 calorie)

Multiple Choice Options

  • A 378 J/kg −oC
  • B 315 J/kg −oC
  • C 476 J/kg −oC
  • D 434 J/kg −oC

Step-by-Step Verified Solution

Let specific heat of aluminium = S,

As we know from principle of calorimetry,

Qgiven = Qused

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

⇒ 0.2 × S × 110 = 150 × 13 + 25 × 13

⇒ S = 434 J/kg - oC

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