Question

1.10 When 120 kJ of energy is added to 15 kg of brass the temperature rises to 52°C. If the specific heat capacity of brass is 393J/kg°C, calculate the initial temperature of the brass. (3)​

Answer 1

The initial temperature of the brass is 49.44°C.

Step-by-step explanation:

To calculate the initial temperature of the brass, we can use the equation: Q = mcΔT,

{where Q is the heat energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature}.

Given that 120 kJ of energy is added, the mass of brass is 15 kg, and the specific heat capacity is 393 J/kg°C, we can rearrange the equation to solve for the initial temperature:

ΔT = Q / (mc)

ΔT = 120000 J / (15 kg * 393 J/kg°C)

ΔT = 2.56°C

Therefore, the initial temperature of the brass is:

= 52°C - 2.56°C

= 49.44°C.