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Thermal Properties of Matter — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsThermal Properties of Matter2 Marks
Question
Two bodies of specific heats and C, having 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

As the heat capacities are equal, so $m_1 C_1=m_2 C_2$. Let $C$ be the specfic heat of the composite body. Then, $(\text{m}_1+\text{m}_2)\text{C}=\text{m}_1\text{C}_1+\text{m}_2\text{C}_2$ $=\text{m}_1\text{C}_1+\text{m}_1\text{C}_1=2\text{m}_1\text{C}_1$ or $\text{C}=\frac{2\text{m}_1\text{C}_1}{\text{m}_1+\text{m}_2}=\frac{2\text{m}_1\text{C}_1}{\text{m}_1+\text{m}_1\frac{\text{C}_1}{\text{C}_2}}$ $=\frac{2\text{C}_1\text{C}_2}{\text{C}_1+\text{C}_2}$

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