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Thread: Two solid ofequal mass

  1. #1
    Registered Senior Member chikis's Avatar
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    Two solid ofequal mass

    This is a multiple choice question. I need help as to arrive at the correct answer:
    Two solids P and Q of equal mass are heated to the same temperature and dropped simultaneously into two identical containers X and Y containing equal volumes of water at room temperature. The temperature of X will rise higher than that of Y only if the
    A. volume of P is greater than that of Q
    B. specific heat capacity of P is higher than that of Q
    C. density of P is greater than that of Q
    D. density of P lower than that of Q
    E. specific heat capacity of P is lower than that of Q.
    Please explain and give reason for your answer. Any help will be appreciated greatly. Thanks!

  2. #2
    P & Q start at same temperature (above the temperature of X, Y and the room) and have the same mass but are not guaranteed to share other properties. X & Y start with the same amount of water at the same temperature.
    But if X + P finishes with a higher temperature than Y + Q, then X +P must have more heat than Y + Q. So P must have more heat than Q. So P must have a higher specific heat capacity than Q.

  3. #3
    Registered Senior Member chikis's Avatar
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    Quote Originally Posted by rpenner View Post
    P & Q start at same temperature (above the temperature of X, Y and the room) and have the same mass but are not guaranteed to share other properties. X & Y start with the same amount of water at the same temperature.
    But if X + P finishes with a higher temperature than Y + Q, then X +P must have more heat than Y + Q. So P must have more heat than Q. So P must have a higher specific heat capacity than Q.
    In other words are you trying to say that, the higher the specific heat capacity, the higher the temperature?

  4. #4
    Natural Philosopher RJBeery's Avatar
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    Quote Originally Posted by chikis View Post
    In other words are you trying to say that, the higher the specific heat capacity, the higher the temperature?
    Heat and temperature are not the same thing. Temperature is like a coin denomination, while heat is how many coins you have. The question states that the temperatures are equal, but if P's heat capacity is greater, then it will continue to heat the water in X after Q has reached its lower equilibrium with Y. A material with a high heat capacity just means that it is able to "hold and retain more heat" than another material. Aluminum foil, for example, has a low heat capacity which is why you can pick up a baked potato wrapped in it...very little heat is retained in the foil and quickly dissipates into the air after you open the oven so the foil feels relatively cool even though the potato is quite hot.

  5. #5
    Registered Senior Member chikis's Avatar
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    Quote Originally Posted by RJBeery View Post
    Heat and temperature are not the same thing. Temperature is like a coin denomination, while heat is how many coins you have. The question states that the temperatures are equal, but if P's heat capacity is greater, then it will continue to heat the water in X after Q has reached its lower equilibrium with Y. A material with a high heat capacity just means that it is able to "hold and retain more heat" than another material. Aluminum foil, for example, has a low heat capacity which is why you can pick up a baked potato wrapped in it...very little heat is retained in the foil and quickly dissipates into the air after you open the oven so the foil feels relatively cool even though the potato is quite hot.
    Yes heat and temperature are not the same thing. Heat is the type of energy that makes the temperature of body to rise. While temperature is the degree of hotness or coldness of a body. Thanks for having intrest in my thread.

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