If 950 joules of heat are needed to increase the temperature of 45.6 grams of an unknown metal from 25.0 Celsius to 90.0 Celsius, what is the specific heat capacity of the metal in j/g Celsius

0.321 J/g.°C.

Explanation:

To solve this problem, we can use the relation:

Q = mcΔT,

Where, Q is the amount of heat needed to raise the temperature of the metal (Q = 950 J).

m is the mass of the metal (m = 45.6 g).

c is the specific heat capacity of the metal (J/g.°C).

ΔT is the temperature difference (ΔT = final T - inital T = 90.0 °C - 25.0 °C = 65 °C).

∴ c = Q / mΔT = (950 J) / (45.6 g) (65 °C) = 0.321 J/g.°C.