The following table lists the specific heat capacities of select substances: Substance Specific heat capacity [J/(g⋅∘C)] silver 0.235, copper 0.385, iron 0.449, aluminum 0.903, ethanol 2.42, water 4.184, Water (2430 g ), is heated until it just begins to boil.
If the water absorbs 5.07×105 J of heat in the process, what was the initial temperature of the water? Express your answer with the appropriate units.
water is heated until to boil
So final temperature of water = Tf = 100 0C
Mass of sample = m = 2430 g
amount of heat gain = q = 5.07 x 105 J
And Specific heat of water = c = 4.184 g/0C
We know the formula
q = m.c.T
So T = q / (m.c)
putting given values
T = 5.07 x 105 J /(2430 g x 4.184 J/0C)
= 49.86 0C
T = Tf - Ti = change in temperature
49.86 0C = 100 0C - Ti
Ti = 100 0C - 49.86 0C
= 50.14 0C
So intial temperature of water = 50.14 0C
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