You pour 1400 g of hot coffee at 900 oC into a 2500 g glass

You pour 140.0 g of hot coffee at 90.0 oC into a 250.0- g glass cup at 20.0 oC. If they come to thermal equilibrium quickly, what is the final temperature (in oC, enter deg in asnwer box)? Assume no heat is lost to the surroundings.

Solution

specific heat of coffee = 4.2

specific heat of glass = 0.84

Heat lost by coffee = 140 x 4.2 x(90-T)

Heat gained by glass = 250 x 0.84 x (T-20)

140 x 4.2 x(90-T) = 250 x 0.84 x (T-20)

SO, T = 71.5 0 C

Therefore, the answer is 71.5 0 C


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