The material typically used to heat metal radiators is water. J of heat must be supplied to the radiator in order to raise its temperature from 25.0 to 55.0°C. If a boiler generates water at 84.0°C, what mass of water is required to heat the radiator? Water has a specific heat of 4.184 .

Complete question:

The material typically used to heat metal radiators is water. 4.05 x 10⁵ J of heat must be supplied to the radiator in order to raise its temperature from 25.0 to 55.0°C. If a boiler generates water at 84.0°C, what mass of water is required to heat the radiator? Water has a specific heat of 4.184 J.g⁻¹.C⁻¹.

The mass of water required to heat the radiator is 3.338 kg

Explanation:

Given;

Quantity of heat supplied to raise the temperature of radiator, Q = 4.05 x 10⁵ J

Specific heat capacity of water, c = 4.184 J.g⁻¹.C⁻¹ = 4.184 x 10³ J.kg⁻¹C⁻¹

Quantity of heat supplied to raise the temperature of water;

Q = mcΔθ

where;

m is the mass of water

c is the specific heat capacity of water

Δθ is the temperature difference of water from 84.0°C to 55.0°C

m = Q / cΔθ ,        Δθ = 84.0°C - 55.0°C = 29°C

m = (4.05 x 10⁵ ) / (4.184 x 10³ x 29)

m = 3.338 kg

Therefore, the mass of water required to heat the radiator is 3.338 kg

practical process described pest part of scientific investigation.

because practical knowledge is powerful then therotical knowledge.