Question

Equal heat is given to two objects A and B of mass 1 g. Temperature of A increases by 3 °C and B by 5 °C. Which object has more specific heat? And by what factor? Answer : A, 5/3 Solve the problem

Answer 1

Let the amount of the Heat energy transferred to both the objects be Q.

For the Object A,
Mass = 1 g.
Rise in temperature = 3 °C

∵ Specific Heat Capacity = Heat Taken/Mass × Rise in temperature. 
   cₐ = Q/1 × 3 
   cₐ = Q/3
 Q = 3 cₐ


For the Object B, 
Mass = 1 g.
Rise in temperature = 5 °C.

Specific Heat capacity = Q/1 × 5
$C_x$ = Q/5
∴ Q = 5 cₓ

  ∴ 3 cₐ = 5 cₓ
  ∴ cₐ = 5/3 × cₓ
∵  cₐ > $C_b$

Hence, the Specific heat capacity of the Object is more than the B. 


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Answer 2

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