Two bodies have the same heat capacity. If they are combined to form a fsingle composite body, show that the equivalent specific heat of this composite body is independent of the masses of the individual bodies.

Two bodies have the same heat capacity. If they are combined to form a

1.	Two bodies have the same heat capacity. If they are combined to form a fsingle composite body, show that the equivalent specific heat of this composite body is independent of the masses of the individual bodies.
Answer» Let the two bodies have masses `m_1`,`m_2` and specific heats `S_1`,`S_2`. Then `m_1S_1=m_2S_2` Let s`=`specific heat of the composite body. Then `(m_1+m_2)s=m_1S_1+m_2S_2=2m_1S_1` `S=(2m_1S_1)/(m_1+m_2)=(2m_1S_1)/(m_1+m_1(S_1//S_2))=(2S_1S_2)/(S_2+S_1)`.

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Two bodies have the same heat capacity. If they are combined to form a fsingle composite body, show that the equivalent specific heat of this composite body is independent of the masses of the individual bodies.

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