Question

1. two metals of equal mass with different heat capacities are subjected to the same amount of heat. which undergoes the smallest change in temperature?

a. the metal with the higher heat capacity.
b. the metal with the smaller heat capacity.
c. both undergo the same change in temperature.
d. you need to know the initial temperature of the metals.

Explanation:

The formula for heat transfer is \(Q = mc\Delta T\), where \(Q\) is the heat absorbed or released, \(m\) is the mass, \(c\) is the specific heat capacity, and \(\Delta T\) is the change in temperature. Given that \(Q\) (same amount of heat) and \(m\) (equal mass) are constant. We can rewrite the formula for \(\Delta T\) as \(\Delta T=\frac{Q}{mc}\). When \(Q\) and \(m\) are fixed, \(\Delta T\) is inversely proportional to \(c\) (heat capacity). A higher value of \(c\) will result in a smaller \(\Delta T\).

Answer:

A. The metal with the higher heat capacity.