If 7.60 kJ of heat is needed to raise the temperature of a sample of metal from 10.°C to 25°C, how many kilojoules of heat will be required to raise the temperature of the same sample of metal from 35°C to 53°C?

Answer 1

7600 joules = mass metal x specific heat x 15.
1). You can set up a ratio or
2) call mass metal x specific heat = k, evaluate k from the data in the first two lines. That is
(7600/15) = k, then
q = k*(53-35) and solve for q.