Final answer:
The question contains a mistake since the bar of gold is actually at a higher temperature than the bar of aluminum. When discussing specific heat, gold heats up more easily than aluminum because its specific heat is lower.
Step-by-step explanation:
The question seems to contain a typo or error because it states that a bar of aluminum has a higher temperature when in fact it is stated to be at 22 °C while a bar of gold is at 27 °C. This would mean the gold bar has a higher temperature, not the aluminum bar. However, if the question is asking about the specific heat of the metals and how it affects their temperature change when they absorb heat, we can discuss this concept.
The specific heat is the amount of heat required to raise the temperature of a substance by a certain degree. Gold has a specific heat of 129 J/kg. °C while aluminum has a specific heat of 900 J/kg. °C. This means that it takes less energy to increase the temperature of gold by 1 °C than it does for aluminum. If we were to calculate the difference in heat required to raise the temperatures of 1.00 kg of gold and 1.00 kg of aluminum by 1.00 °C, we would simply subtract the specific heat capacities (900 J - 129 J), which results in 771 J.
Therefore, the correct statement would be that the bar of gold would reach a higher temperature before the bar of aluminum when the same amount of heat energy is applied to both.