To determine the specific heat of a metal, use the formula Q = mcΔT. Given the values of heat absorbed and temperature change, we can solve for c. In this case, the specific heat of the metal is 0.198 kJ/(kg · °C).
To determine the specific heat of a metal, we need to use the formula:
Q = mcΔT
Where;
Q is the quantity of heat energy absorbed by the metal
m is the mass of the metal
c is the specific heat of the metal
ΔT is the change in temperature of the metal
Given that the metal absorbs 1.43 kJ of heat energy and its temperature increases from 24.5 °C to 39.1 °C, we can plug in the values:
1.43 kJ = 0.217 kg x c x (39.1 °C - 24.5 °C)
Solving for c, we get:
c = 0.198 kJ/(kg · °C)
The specific heat of the metal is 0.198 kJ/(kg · °C).