Question

how long it takes for one gallon of tap water (40 F) in a container ( fiberglass, metal, plastic) sitting in a room (72 F) to rise one degrees F?

Thank you

Answer 1

The specific heat capacity of water is = c = 1 calorie/gram ^oF.

Volume of water = 1 gallon = 3.7854 liters.

And as the density of water is approximately = 1g/ml, so the mass of water present is -

Mass = Volume x density

         = (3.7854 x 1000 ml) x (1g/ml)

So, m = 3785.4 g

The change in temperature = T = 1 ^oF

Thus, amount of heat energy required = q = m*c*T

                                                                   = (3785.4*1*1)

                                                                   = 3785.4 cal

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