Question

Equal heat is given to the two objects A &B, of mass 1 g, temperature of A is raised by 3°C, and B by 5°C. Which object has more sp. heat ? by what factor ?

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

 = Q/5

∴ Q = 5 cₓ

 ∴ 3 cₐ = 5 cₓ

 ∴ cₐ = 5/3 × cₓ

∵  cₐ >

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