Question #95ca2

1 Answer
Sep 24, 2017

"9,900 J"9,900 J

Explanation:

Your goal here is to figure out how much heat is needed to increase the temperature of "55 g"55 g of water by

87^@"C" - 44^@"C" = 43^@"C"87C44C=43C

The key here is the specific heat of water, which tells you the amount of heat needed to increase the temperature of "1 g"1 g of water by 1^@"C"1C.

Use the specific heat of water to determine the energy needed to increase the temperature of "55 g"55 g of water

55 color(red)(cancel(color(black)("g"))) * overbrace("4.184 J"/(1color(red)(cancel(color(black)("g"))) * 1^@"C"))^(color(blue)("the specific heat of water")) = "230.12 J"""^@"C"^(-1)

This tells you that in order to increase the temperature of "55 g" of water by 1^@"C", you need to provide "230.12 J".

Consequently, you can say that in order to increase the temperature of the sample by 43^@"C", you need

43 color(red)(cancel(color(black)(""^@"C"))) * overbrace("230.12 J"/(1color(red)(cancel(color(black)(""^@"C")))))^(color(blue)("for 55 g of water")) = color(darkgreen)(ul(color(black)("9,900 J")))

of heat. The answer is rounded to two sig figs.