To calculate the heat transfer (Q), you can use the formula:
\[ Q = mc(t_2 - t_1) \]
where:
- \( m \) is the mass in kg,
- \( c \) is the specific heat capacity in kg/J,
- \( t_1 \) and \( t_2 \) are the initial and final temperatures in degrees Celsius or Kelvin, respectively.
Given:
- \( m = 5 \, \text{kg} \)
- \( t_1 = 230 \, \text{°C} \)
- \( t_2 = 120 \, \text{°C} \)
- \( c = 230 \, \text{kg/J} \)
Now substituting in the values:
\[ Q = 5 \, \text{kg} \times 230 \, \text{kg/J} \times (120 - 230) \]
Calculating the change in temperature:
\[ t_2 - t_1 = 120 - 230 = -110 \, \text{°C} \]
Now substitute that into the equation for Q:
\[ Q = 5 \, \text{kg} \times 230 \, \text{kg/J} \times (-110 \, \text{°C}) \]
Calculating Q:
\[ Q = 5 \times 230 \times (-110) \]
\[ Q = 5 \times 230 = 1150 \]
\[ 1150 \times (-110) = -126500 \, \text{J} \]
So,
\[ Q = -126500 \, \text{J} \]
The negative sign indicates that heat is being released (or lost) by the substance.