Question

Work out the specific heat capacity of a substance if it takes 5,200J of energy to heat 2kg of it from 42°C to 47°C.

Answer 1

Answer: 520 J

Step-by-step explanation:

Answer 2

specific heat capacity = 5 J/kg °C

Step-by-step explanation:

To calculate the specific heat capacity of a substance, we can use the following formula:

`\boxed{c= (Q)/(m \Delta T)}`,

where:

• c = specific heat capacity

• Q = heat energy

• m = mass of substance

• ΔT = change in temperature

We know from the question that Q = 5200J, m = 2kg, and ΔT = 47 - 42 = 5°C.

Using this information as well as the formula above, we can calculate the specific heat capacity of the substance:

c =
`\frac{5200\ \mathrm{J}}{2\ \mathrm{kg} * 5^(\circ)\mathrm{C}}`

= 5 J/kg °C

Therefore the specific heat capacity of the substance is 5 J/kg °C.