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.

Respuesta :

Answer:

specific heat capacity = 5 J/kg °C

Explanation:

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

[tex]\boxed{c= \frac{Q}{m \Delta T}}[/tex],

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 = [tex]\frac{5200\ \mathrm{J}}{2\ \mathrm{kg} \times 5^{\circ}\mathrm{C}}[/tex]

  = 5 J/kg °C

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