how much energy in joules does it take to raise the temperature of 255g of water by 12.5C

Verified Answer :

Energy in a system can be calculated by multiplying the given mass to the
specific heat capacity of the substance and the temperature difference. It is
expressed as follows:

Energy = mC(T2-T1)

Energy = 255(4.184)(12.5)
Energy = 13336.5 J

Answer: The amount of energy required to raise the temperature is 13323.75 joules.

Explanation :

The amount of energy required to raise the temperature can be calculated as follows.

                   \(q = m\times C\times \bigtriangleup T\)

where,

        q = heat energy

        m = mass of water

         C = specific heat

          T = temperature

Remember that the specific heat of water is \(4.18\left ( \frac{J}{g^\circ C}} \right )\).

Therefore, putting the values in the above equation as follows.

        \(q = m\times C\times \bigtriangleup T\)

           \(= 255 g \times 4.18 \left ( \frac{J}{^\circ C}} \right )\times 12.5^oC\)

         = 13323.75 joules

So, the amount of energy required to raise the temperature is 13323.75 joules.