Which of the following, when mixed, would raise the temperature of 20 g of water at 30oC most?
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a
20 g of water at 40oC
b
40 g of water at 35oC
c
10 g of water at 50oC
d
4 g of water at 80oC
answer is D.
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Detailed Solution
Let m grams of water whose temperature is θ0 (> 30oc) and specific heat is 1 cal/g-oC be added to 20 g of water at 30oC and let )be the final temperature of mixture. m(1)θ0−θ=(20)(1)(θ−30)∴ θ=600+mθ020+mThe right-hand side is maximum for option (d). Therefore, the correct answer is (d).