Question

A hot liquid \(P\) of specific heat capacity \(S\) is mixed with a cold liquid \(Q\) of mass \(40\,\mathrm{g}\) and specific heat capacity \(1.5S\). If the fall in temperature of liquid \(P\) is 3 times the rise in temperature of liquid \(Q\), then the mass of liquid \(P\) is

• A. \(40\,\mathrm{g}\)
• B. \(20\,\mathrm{g}\)
• C. \(30\,\mathrm{g}\)
• D. \(50\,\mathrm{g}\)

Hint:

In calorimetry, \[ \boxed{ \text{Heat lost}=\text{Heat gained} } \] i.e., \[ m_1c_1\Delta T_1 = m_2c_2\Delta T_2. \]

Answer 1

The Correct Option is B