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A common practice for a person with a high fever is to take a bath in cool water. Assuming an 80 kg person is really ill and needs to cool down from 40°C to 37°C. What is the minimum amount of water needed for bathing assuming the water begins at room temperature, 25°C?

Respuesta :

The minimum amount of water needed for bathing assuming the water begins at room temperature is 16.58kg.

What is thermal equilibrium?

When two bodies at different temperature come into contact, they share the heat through conduction. After some time, temperature of both becomes equal. This condition is said to be a body in thermal equilibrium with other.


Heat gained by the water = heat lost by the ill person

m x Cw x ΔT = M x Cp x Δt

where, mass of person M = 80kg, Cp =specific heat of body =3470, specific heat of water Cw= 4186, then mass of water m will be

m x 4186 x (37-25) =- 80 x 3470 x (37-40)

m = 16.58kg

Thus, the mass of water needed is 16.58kg.

Learn more about thermal equilibrium.

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