Calculate the heat that must be supplied to a copper kettle of mass 400.0 g containing 300.0 g of water to raise its temperature from
20.0 °C to the boiling point of water, 100.0 °C. (b) What percentage of the heat is used to raise the temperature of the water? (See Table 4A.2.)
how would you set up this equation?
4a.7
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Re: 4a.7
Hi,
For this question, you have to consider the heat of the copper and heat of the water separately. First, you would calculate q for the copper kettle using the given mass and specific heat and change in temperature. Then, you would perform the same calculation for q for the water. This is because the copper and water have different specific heat values. The same delta T applies for both calculations since they are being heated concurrently. You would then add those two heat values to get the overall heat of the system.
For this question, you have to consider the heat of the copper and heat of the water separately. First, you would calculate q for the copper kettle using the given mass and specific heat and change in temperature. Then, you would perform the same calculation for q for the water. This is because the copper and water have different specific heat values. The same delta T applies for both calculations since they are being heated concurrently. You would then add those two heat values to get the overall heat of the system.
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Re: 4a.7
I approached this problem by using the equation q=m*c*deltaT. We need to raise the temperature of both water and the copper, so you would add the q value for water and copper together: (300)(4.18)(80)+(400)(0.38)(80). For part b, you take the q value you calculated for water and use that as a the numerator. The denominator is just your answer in part a and then multiply this fraction by 100 to get the percentage. Hope this helped!
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Re: 4a.7
You would set this equation up by finding the amount of energy needed to heat each substance to 100 C from 20 C. The sum of these heats would be the total amount of heat needed to raise both from 20 C to 100 C.
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