Question

Calculate the specific heat capacity of the unknown metal given the
following information; the mass of the metal is 225 g, the temperature
raises by 13C and the energy absorbed was 1363 joules.

A. 0.466 j/gC
B.1.02j/gC
C.0.96 j/gC
D.2.14 j/gC

Answer 1

Answer: The specific heat capacity of the unknown metal given is $0.466 J/g^{o}C$.

Explanation:

Given: Mass = 225 g

Change in temperature = $13^{o}C$

Heat energy = 1363 J

The formula used to calculate specific heat is as follows.

$q = m \times C \times \Delta T$

where,

q = heat energy

m = mass of substance

C = specific heat

$\Delta T$ = change in temperature

Substitute the values into above formula as follows.

$q = m \times C \times \Delta T\\1363 J = 225 g \times C \times 13^{o}C\\C = \frac{1363 J}{225 g \times 13^{o}C}\\= 0.466 J/g^{o}C$

Thus, we can conclude that the specific heat capacity of the unknown metal given is $0.466 J/g^{o}C$.