You have a cup of tea (250 ml) that is 375 k which is too hot to drink. it needs to be cooled to 350 k before you can drink it. how much thermal energy has to be transferred from the tea to the surroundings to cool the tea? show all work and include units.

The hot tea should transfer 25.63 kJ the surroundings to cool the tea.

Explanation:

Q = m.c.ΔT,

where, Q is the amount of heat has to be transferred from the tea to the surroundings to cool the tea (Q = ??? J).

m is the mass of the hot tea (m = dV = (1.0 g/mL)(250 mL) = 250 g), suppose the density of water is the density of tea.

c is the specific heat of the hot tea (c = 4.10 J/°C.g).

ΔT is the difference between the initial and final temperature (ΔT = final T - initial T = 350 K - 375 K = -25°C).

∴ Q = m.c.ΔT = (250 g)(4.10 J/°C.g)(-25°C)) = - 25630 J = - 25.63 kJ.

So, the hot tea should transfer 25.63 kJ the surroundings to cool the tea.