Question

Two bodies of specific heats S1 and S2 having the same heat capacities are combined to form a single composite body. What is the specific heat of the composite body?
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Answer 1

Here is your answer,

As the heat capacities are equal , so m₁S₁ = m₂S₂

Let S be the specific heat of the composite body. Then,

(m₁ + m₂) S = m₁S₁ + m₂S₂

= m₁S₁ + m₁S₁ = 2 m₁S₁

S = 2 m₁S₁/m₁+ m₂ = 2 m₁S₁/ m₁ + m₁ + m₁ S₁/S₂

= 2 S₁S₂/S₁ + S₂

$= > \frac { 2S_{1}S_{2} }{ S_{1} + S_{2}}$