To determine which metal will receive heat transfer from the water, we'll need to consider the initial temperatures of the metals and compare them to the temperature of the water. Heat transfer occurs from a region of higher temperature to a region of lower temperature. Therefore, if the initial temperature of the metal is lower than the temperature of the water, the metal will receive heat from the water.
The initial temperature of the water is [tex]\( 20^{\circ}C \)[/tex].
Let's examine each metal:
1. Metal A: The initial temperature of Metal A is [tex]\( 30^{\circ}C \)[/tex].
- Since [tex]\( 30^{\circ}C \)[/tex] is higher than [tex]\( 20^{\circ}C \)[/tex], Metal A will not receive heat from the water.
2. Metal B: The initial temperature of Metal B is [tex]\( 42^{\circ}C \)[/tex].
- Since [tex]\( 42^{\circ}C \)[/tex] is higher than [tex]\( 20^{\circ}C \)[/tex], Metal B will not receive heat from the water.
3. Metal C: The initial temperature of Metal C is [tex]\( 25^{\circ}C \)[/tex].
- Since [tex]\( 25^{\circ}C \)[/tex] is higher than [tex]\( 20^{\circ}C \)[/tex], Metal C will not receive heat from the water.
4. Metal D: The initial temperature of Metal D is [tex]\( 16^{\circ}C \)[/tex].
- Since [tex]\( 16^{\circ}C \)[/tex] is lower than [tex]\( 20^{\circ}C \)[/tex], Metal D will receive heat from the water.
To summarize:
- Metal A will not receive heat transfer from the water.
- Metal B will not receive heat transfer from the water.
- Metal C will not receive heat transfer from the water.
- Metal D will receive heat transfer from the water.
Therefore, the only metal that will receive heat transfer from the water is Metal D.
