If 72.4 kJ of heat is applied to a 95.2 g block of metal, the temperature of the metal increases by 10.7 C. Calculate the specific heat capacity of the metal in J/g C?
To calculate the specific heat capacity of the metal in J/g C, we can use the formula:
Specific heat capacity = Heat transferred / (mass * change in temperature)
Given:
Heat transferred (q) = 72.4 kJ = 72.4 * 1000 J (since 1 kJ = 1000 J)
Mass (m) = 95.2 g
Change in temperature (ΔT) = 10.7 °C
First, let's convert the units for easier calculations:
Heat transferred (q) = 72.4 * 1000 J
Mass (m) = 95.2 g
Now, we can substitute these values into the formula:
Specific heat capacity = (72.4 * 1000 J) / (95.2 g * 10.7 °C)
To simplify the equation, we can cancel out the units:
Specific heat capacity = (72.4 * 1000 J) / (95.2 * 10.7 °C)
Now, calculate the result:
Specific heat capacity = 758480 J / 1016.64 °C
Rounding the result to the appropriate number of significant figures, the specific heat capacity of the metal in J/g C is approximately 746 J/g C.
Therefore, the specific heat capacity of the metal is approximately 746 J/g C.