Question

Two identical calorimeter A and B contain equal quantity of water at 20⁰C. A 5 gm piece of metal X of specific heat 0.2 cal/gm⁰C is dropped into A and 5 gm piece of metal Y into B. The equilibrium temperature in A is 22⁰C and is B is 23⁰C. The initial temp of both the metals is 40⁰C. The specific heat of metal Y in cal/gm⁰C. is –

• A. $\frac{27}{85}$
• B. $\frac{54}{85}$
• C. $\frac{81}{85}$
• D. 0.4

Answer 1

Answer: (A)

$\frac{27}{85}$

Answer 2

For X : 5 × 0.2 × (40 – 22) = m × C × (22 – 20)

For Y : 5 × C × (40 – 23) = m × C × (23 – 20)

Ž C =$\frac{27}{85}$