A runner generates 1260 W of thermal energy.If this energy has to be removed only by evaporation,how much water does this runner lose in 15 minutes of running? The latent heat of vaporization of water is 22.6 × 10⁵ J/kg.

Question

Quizplus · Accepted Answer

The amount of water lost due to evaporation can be calculated using the formula: Energy = Mass × Latent heat of vaporization. Given that the runner generates 1260 W of thermal energy and assuming this energy is generated continuously over 15 minutes (900 seconds), the total energy generated is 1260 W × 900 s = 1,134,000 J. Using the latent heat of vaporization of water (22.6 × 10^5 J/kg), the mass of water evaporated can be calculated as follows: Mass = Energy / Latent heat = 1,134,000 J / (22.6 × 10^5 J/kg) = 0.5 kg, which is equivalent to 500 g.

A Runner Generates 1260 W of Thermal Energy