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25 May, 11:23

Equal amounts of heat are added to equal masses of substances A and B at the same temperature, but substance B gets hotter. What is true of their heat capacities (c) ?

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Answers (1)
  1. 25 May, 14:14
    0
    The one with the lower specific heat.

    Explanation:

    A substance's specific heat tells you how much heat must be added to / removed from a

    1-g

    sample of this substance in order to get its temperature to change by

    1



    C

    .

    When energy in the form of heat is absorbed, a substance's specific heat tells you exactl; y how much heat is needed in order to increase the temperature of

    1 g

    of this substance by

    1



    C

    .

    This means that the higher the specific heat of a substance, the more heat will be needed in order to get the temperature of

    1 g

    to increase by

    1



    C

    .

    In your case, two substances, let's say

    A

    and

    B

    , start at the temperature,

    200



    C

    and they both absorb

    150 J

    of heat. Moreover, they both have the same mass.

    If the specific heat of

    A

    is higher than the specific heat of

    B

    , you can say that it will take more energy to raise the temperature of

    A

    by

    1



    C

    than to raise the temperature of

    B

    by

    1



    C

    .

    So, if

    B

    absorbs

    150 J

    and gets to a final temperature

    T

    B

    , the fact that

    A

    has a higher specific heat will tell you that absorbing

    150 J

    of heat will not get the final temperature of

    A

    ,

    T

    A

    , to the same value as

    T

    B

    .

    You can thus say that

    T

    A

    <

    T

    B

    The substance with the lower specific heat will heat up more than the substance with the higher specific heat.
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