Textbook problem 4C.9

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Alyssa Gates 1H
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Joined: Mon Jan 09, 2023 8:23 am

Textbook problem 4C.9

Postby Alyssa Gates 1H » Mon Feb 06, 2023 7:22 pm

Hi I am a little confused on question 4C.9.
Calculate the heat that must be supplied to a copper kettle of mass 500.0 g containing 400.0 g of water to raise its temperature from 22°C to the boiling point of water, 100°C . (b) What percentage of the heat is used to raise the temperature of the water?

What equation should we use for this problem? I am not sure how to solve it.

Harry Forbeck 2A
Posts: 38
Joined: Mon Jan 09, 2023 8:44 am

Re: Textbook problem 4C.9

Postby Harry Forbeck 2A » Tue Feb 07, 2023 12:10 pm

for this question, you use the general equation q = mcdeltaT
(mass of copper * specific heat of copper * change of T)+(mass of water * specific heat of water * change of T )
(500g*0.38 J/(ºC * g) * (100-22ºC) + (400g * 4.184 J /(ºC * g) * (100-22ºC)
14820 J + 130540.8 J = 145360.8 J

2 sig figs, so the answer is 1.4 x 10^5 J or 1.4 x 10^2 kJ.

then for how much for water, just divide the water portion of the above equation (mass of water * specific heat of water * change of T , which is (400g * 4.184 J /(ºC * g) * (100-22ºC)) by the final answer, and you will get the percentage of heat for water is 90%


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