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.
