Answer:
Liquid B
Explanation:
The amount of heat energy that must be supplied to a substance in order to increase its temperature is given by:
[tex]Q=mC\Delta T[/tex]
where
m is the mass of the substance
C is the specific heat capacity of the substance
[tex]\Delta T[/tex] is the increase in temperature
The equation can be rewritten as
[tex]C=\frac{Q}{m\Delta T}[/tex]
In this problem, we know that:
- Liquid A and B have same mass, [tex]m_A = m_B = m[/tex]
- The two liquids have same initial temperature, but afterwards liquid A is hotter than liquid B; this means that [tex]\Delta T_A > \Delta T_B[/tex]
- Moreover, the two liquids are heated for the same time over identical burners: this means that the amount of heat supplied is the same for the two liquids, [tex]Q_A=Q_B[/tex]
By looking at the equation, we see that since Q and m are the same for the two liquids, then their specific heat is just inversely proportional to the change in temperature: and since the change in temperature is larger for liquid A, this means that the specific heat is larger for liquid B.
