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Question: Answered & Verified by Expert
An unknown metal of mass 192g heated to a temperature of 100°C was immersed into a brass calorimeter of mass 128 g containing 240g of water at a temperature of 8.4oC. Calculate the specific heat of the unknown metal if water temperature stabilizes at 21.5oC. ( Specific heat of brass is 394Jkg-1K-1)
PhysicsKinetic Theory of GasesJEE MainJEE Main 2019 (10 Jan Shift 2)
Options:
  • A 916 Jkg-1K-1
  • B 458 Jkg-1K-1
  • C 654 Jkg-1K-1
  • D 1232 Jkg-1K-1
Solution:
2152 Upvotes Verified Answer
The correct answer is: 916 Jkg-1K-1
Conservation of energy:

msΔT=mbsb+mwswΔTw

192×10-3s100-21.5=128×394+240×4182×10-3×21.5-8.4

s=50432+100368013.115072=916.19916 J kg-1 K-1

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