The temperature of 10 kg of a substance rises by 55oC when heated. Calculate the temperature rise when 22 kg of the substance is heated with the same quantity of heat.

The temperature rise is 25°C

Explanation:

The heat of a substance is obtained using the equation:

Q = m*S*ΔT

Where Q is heat in kJ, m is the mass of the susbtance, S is specific heat of the material and ΔT change in temperature.

Replacing:

Q/S = m*ΔT

As Q is constant because the heat is the same and S is the specific heat of the material (Constant). We can write:

m1*ΔT1 = m2*ΔT2

Where m is mass and ΔT change in temperature of 1, initial conditions of the substance and 2, final conditions of the substance.

Replacing:

m1 = 10kg

ΔT1 = 55°C

m2 = 22kg

ΔT2 = ?

10kg*55°C = 22kg*ΔT2

ΔT2 = 25°C

your answer would be “dry”