Answer to Question #122836 in Physics for alexia

Question

Work out the specific heat capacity of a substance if it takes 5200J of energy to heat 2kg of it from 42°C to 47°C.

Answer 1

We can find the specific heat capacity of a substance from the formula:

$$Q = mc \Delta t,$$ $$c = \dfrac{Q}{m \Delta t},$$ $$c = \dfrac{5200 \ J}{2 \ kg \cdot (47 ^{\circ}C - 42 ^{\circ}C)} = 520 \ \dfrac{J}{kg \cdot \! ^{\circ}C}.$$

Answer:

$c = 520 \ \dfrac{J}{kg \cdot \! ^{\circ}C}.$