Chapter 18, Problem 1P

To determine

The correct option.

Answer to Problem 1P

The correct option is (c).

Explanation of Solution

Given:

The mass of object A is twice the mass of object B.

The specific heat capacity of mass A is twice the mass of object B.

Formula used:

The expression for the heat transferred is given by,

  $Q=mC\Delta T$

Calculation:

The ratio of heats transferred of object A and B is calculated as,

  $\begin{array}{c}\frac{Q_{\text{A}}}{Q_{\text{B}}}=\frac{m_{\text{A}}C\Delta T_{\text{A}}}{m_{\text{B}}C\Delta T_{\text{B}}}\\ \frac{\left(2Q_{\text{B}}\right)}{Q_{\text{B}}}=\frac{\left(2m_{\text{B}}\right)C\Delta T_{\text{A}}}{m_{\text{B}}C\Delta T_{\text{B}}}\\ 2=2\frac{\Delta T_{\text{A}}}{\Delta T_{\text{B}}}\\ \Delta T_{\text{A}}=\Delta T_{\text{B}}\end{array}$

Conclusion:

Therefore, the correct option is (c).