Answer:
3.45 L
Explanation:
First, the energy involved with the body temperature change of 34.0C to 40.0C is calculated. (Because a change in temperature is present in the equation, it is not necessary to convert °C to K for the units to properly cancel).
Q = mcΔt = (400 kg)(3480Jkg⁻¹K⁻¹)(40.0C - 34.0C) = 8.352 x 10⁶ J
In order to keep the temperature constant and eliminate this amount of heat through sweating, a mass of water M must be drunk and then evaporated by sweating:
Q = ML >> M = Q/L
M = (8.352 x 10⁶ J) / (2.42 x 10⁶ J/kg) = 3.45 kg
The mass of water is then converted to liters using the density of 1.0g/mL or 1.0 kg/L.
(3.4512 kg) / (1.0 kg/L) = 3.45 L