Question

In a certain solar house, energy from the Sun is stored in barrels filled with water. In a particular winter stretch of five cloudy days, 1.34 × 10⁶ kcal is needed to maintain the inside of the house at 22.3^oC. Assuming that the water in the barrels is at 42.2^oC and that the water has a density of 1.00 × 10³ kg/m³, what volume of water is required? Take the specific heat of water to be 1.00 kcal/kg.

Answer 1

Here,

let the volume of water needed is V

heat needed = mass * specific heat of water * delta T

1.34 *10^6 * 4186 = V * 1000 *4186 * (42.2 - 22.3)

solving for V

V = 67.34 m^3

the volume of water is required is 67.34 m^3