Question

the amount of heat energy Q, used to heat up a substance depends on its mass m, its specific heat capacity s and the change in temperature delta t of the substance. Using dimensional method find the expression for s.

Answer 1

Since the formula for the amount of heat needed to heat a substance is given as follows:

$Q=ms\Delta t$

Now we know from the expression that heat energy for a substance depends on the mass, specific heat capacity and change in temperature.

So the unit of heat energy in terms of units of mass, temperature and specific heat.

The SI unit of heat energy is in Joules. Mass is in Kg. change in temperature is in Kelvin so SI unit in Joules per Kg.