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Physics

Heat

Easy

Question

twenty-two grams of CO₂ at 27^oC is mixed with 16 g of O₂ at 37^oC. The temperature of the mixture is about

31.5^oC
27^oC
37^oC
30.5^oC

The correct answer is: 31.5^oC

$text Let end text t text be the temperature of mixture. end text text Heat gained by end text CO subscript 2 equals text Heat lost by end text straight O subscript 2 not stretchy rightwards double arrow space of 1em straight mu subscript 1 straight C subscript straight v subscript 1 end subscript straight capital delta straight T subscript 1 equals straight mu subscript 2 straight C subscript straight v subscript 2 end subscript straight capital delta straight T subscript 2 not stretchy rightwards double arrow space of 1em 22 over 44 left parenthesis 3 straight R right parenthesis left parenthesis straight t minus 27 right parenthesis equals 16 over 32 open parentheses 5 over 2 straight R close parentheses left parenthesis 37 minus straight t right parenthesis not stretchy rightwards double arrow space of 1em 3 left parenthesis straight t minus 27 right parenthesis equals 5 over 2 left parenthesis 37 minus straight t right parenthesis text By solving we get end text straight t equals 31.5 to the power of ring operator straight C$

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