The specific heat capacity (c) of a substance is the thermal energy required 11 to raise one gram of the substance by one degree Celsius. The total amount
of thermal energy (Q) added to a sample of a substance can be calculated
by multiplying the specific heat capacity (c) by the mass of the sample (m)
and the temperature change (T): Q c m T. It takes 125 kilojoules (kJ) of energy to heat a cup of water, increasing its temperature by 1°C. What is the temperature change in °C of the cup of water after 750 kJ of energy are used?

Question

The specific heat capacity (c) of a substance is the thermal energy required 11 to raise one gram of the substance by one degree Celsius. The total amount
of thermal energy (Q) added to a sample of a substance can be calculated
by multiplying the specific heat capacity (c) by the mass of the sample (m)
and the temperature change (T): Q   c   m   T. It takes 125 kilojoules (kJ) of energy to heat a cup of water, increasing its temperature by 1°C. What is the temperature change in °C of the cup of water after 750 kJ of energy are used?

rational · Answer

If $125 kJ$ has produced a change of $1^{\circ}C$, then

$750 kJ$ will produce a change of $\dfrac{750}{125} = 6^{\circ}C$