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Question 18 of 36

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SAT Subject Test

If the addition of text 2,000 end text joules of heat to 10 kilograms of a substance raises its temperature 2 to the power of ring operator end exponent text C end text, the specific heat of the substance is

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0.01 invisible times text  J/kg end text times scriptbase text C end text end scriptbase presuperscript ring operator

Correct Answer: 
No

0.2 invisible times text  J/kg end text times scriptbase text C end text end scriptbase presuperscript ring operator

Correct Answer: 
No

50 invisible times text  J/kg end text times scriptbase text C end text end scriptbase presuperscript ring operator

Correct Answer: 
No

100 invisible times text J/kg end text times scriptbase text C end text end scriptbase presuperscript ring operator

Correct Answer: 
Yes

200 invisible times text  J/kg end text times scriptbase text C end text end scriptbase presuperscript ring operator

Correct Answer: 
No

The correct answer is 100 invisible times text J/kg end text times scriptbase text C end text end scriptbase presuperscript ring operator end presuperscript. The change in temperature straight capital delta T of a mass m of a substance is related to the amount of heat Q added to it by the equation Q equals m c straight capital delta T, where c is the specific heat of the substance. Solving for the specific heat and substituting the given quantities, c equals 2 comma 000 invisible times text  J end text divided by left parenthesis 10 text kg end text right parenthesis left parenthesis 2 to the power of ring operator end exponent text C end text right parenthesis equals 100 invisible times text J/kg end text times scriptbase text C end text end scriptbase presuperscript ring operator end presuperscript.

Question Difficulty: 
medium