Two bodies of specific heat capacities S1 and S2 have the same heat capacities. They are combined to form a single composite body. The specific heat capacity of the composite body is

Question

Two bodies of specific heat capacities S1 and S2 have the same heat capacities. They are combined to form a single composite body. The specific heat capacity of the composite body is (A) S1+S2 (B) (S1 + S2/2) (C) (2 S1 S2/S1 + S2) (D) (1/S1)+(1/S2)

Tardigrade Admin · Accepted Answer

Given, m1S1=m2S2 m1S1+m2S2=(m1 + m2)S S=(m1 S1 + m2 S2/m1 + m2)=(2 m1 S1/m1 + m2) (∴ m1 S1 = m2 S2) =(2 m1 S1/m1 + (m1 S1)S2)=(2 S1 S2/S1 + S2)

Q. Two bodies of specific heat capacities $S_{1}$ and $S_{2}$ have the same heat capacities. They are combined to form a single composite body. The specific heat capacity of the composite body is

$S_{1} + S_{2}$

$\frac{S _{1} + S _{2}}{2}$

$\frac{2 S _{1} S _{2}}{S _{1} + S _{2}}$

$\frac{1}{S _{1}} + \frac{1}{S _{2}}$

Q. Two bodies of specific heat capacities S1​ and S2​ have the same heat capacities. They are combined to form a single composite body. The specific heat capacity of the composite body is

S1​+S2​

2S1​+S2​​

S1​+S2​2S1​S2​​

S1​1​+S2​1​

Given, m1​S1​=m2​S2​ m1​S1​+m2​S2​=(m1​+m2​)S S=m1​+m2​m1​S1​+m2​S2​​=m1​+m2​2m1​S1​​(∴m1​S1​=m2​S2​) =m1​+S2​m1​S1​​2m1​S1​​=S1​+S2​2S1​S2​​

Q. Two bodies of specific heat capacities $S_{1}$ and $S_{2}$ have the same heat capacities. They are combined to form a single composite body. The specific heat capacity of the composite body is

$S_{1} + S_{2}$

$\frac{S _{1} + S _{2}}{2}$

$\frac{2 S _{1} S _{2}}{S _{1} + S _{2}}$

$\frac{1}{S _{1}} + \frac{1}{S _{2}}$