Question

Agatha has 1kg samples of two substance- A and B. Substance A has a higher specific heat capacity than substance B. Both samples cool down by 10C. Which will release more heat - A or B

Answer 1

Substance A will release more heat.

Step-by-step explanation:

Let suppose that both substances experiment an entirely sensible heat process and are incompressible and begin at the same temperature. Physically speaking, specific heat (
`c`), measured in kilojoules per kilogram-degree Celsius, can be described by following expression:

`c = (Q)/(m\cdot (T_(f)-T_(o)))` (1)

Where:

`Q` - Released heat, measured in kilojoules.

`m` - Sample mass, measured in kilograms.

`T_(o)`,
`T_(f)` - Initial and final temperatures of the sample, measured in degrees Celsius.

If we know that
`c_(A)> c_(B)`,
`m_(A) = m_(B)`,
`T_(A,o) = T_(B,o)` and
`T_(A,f) = T_(B,f)`, then we have the following inequation:

`(Q_(A))/(m\cdot (T_(A,f)-T_(A,o))) > (Q_(B))/(m\cdot (T_(B,f)-T_(B,o)))`

`Q_(A) > Q_(B)`

Substance A will release more heat.