An unknown mass of aluminum requires 6290 joules to raise the temperature from 23.9 C what is the mass of the aluminum?

The mass of the aluminium is 293.4 g

Explanation:

The question requires us to know the specific heat capacity of aluminium which is 897 J / (kg·°C)

Hence we have the heat gain formula given by the following relation;

ΔH = mass, m * specific heat capacity, c * change in temperature, Δt

Hence ΔH = m*c*Δt

Where:

ΔH = The heat supplied to raise the temperature of the aluminium = 6290 J

m = Required mass

Δt = Temperature change = 23.9 °C

c = Specific heat capacity of aluminium = 897 J / (kg·°C)

Plugging in the values gives;

6290 = m * 897 * 23.9

∴ m = 6290 / (897*23.9) = 0.2934 kg = 293.4 g

The mass of the aluminium = 293.4 g.