AP Physics 2
9.5 Specific Heat and Thermal Conductivity
9.3 Thermal Energy Transfer and Equilibrium
Four identical, thermally insulated containers each hold an identical mass \(M\) of liquid water with specific heat \(c_0\) at an initial temperature \(T_0\). A metal block of mass \(M\) is completely submerged into each container, and each isolated system is allowed to reach thermal equilibrium. The specific heat and initial temperature of the block added to each container are given in the table.
Which of the following correctly ranks the final equilibrium temperatures \(T_1\), \(T_2\), \(T_3\), and \(T_4\) of the water in the four containers?
| Container | Block Specific Heat | Block Initial Temperature |
|---|---|---|
| 1 | \(c_0\) | \(5T_0\) |
| 2 | \(2c_0\) | \(4T_0\) |
| 3 | \(2c_0\) | \(5T_0\) |
| 4 | \(c_0\) | \(3T_0\) |
Which of the following correctly ranks the final equilibrium temperatures \(T_1\), \(T_2\), \(T_3\), and \(T_4\) of the water in the four containers?
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