Object 1 has three times the specific heat capacity and four times the mass of Object 2. The two objects are heated from the same initial temperature, T₀, to the same final temperature T_f. During this process, if Object 1 absorbs heat Q, the amount of heat absorbed by Object 2 will be A)12Q. B)6Q. C) $\frac { 3 } { 4 }$ Q. D) $\frac { 4 } { 3 }$ Q. E) $\frac { 1 } { 12 }$ Q.

Question

Quizplus · Accepted Answer

The heat absorbed by an object is given by $ Q = mc\Delta T $. For Object 1, $ Q_1 = 4m \cdot 3c \cdot \Delta T = 12mc\Delta T $. For Object 2, $ Q_2 = m \cdot c \cdot \Delta T $. Since $ Q_1 = 12mc\Delta T $, $ Q_2 = \frac{1}{12}Q_1 = \frac{1}{12}Q $.

Object 1 Has Three Times the Specific Heat Capacity and Four