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Physics please check

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Three moles of an ideal monatomic gas are at a temperature of 345 K. Then, 2531 J of heat are added to the gas, and 1101 J of work are done on it. What is the final temperature of the gas?

delta U= 3/2nR(T final -T initial)

(2531J - 1101J) = 3/2(3.0mol)(8.31)(T final - 345K)

1430J = 37.395(T final - 345K)

1430J/ 37.395 = T final - 345K

38.24 + 345K = T final

383.2404K = T final

This answer is incorrect. Please explan to me where I went wrong.

if work was done on it, wouldn't the internal energy go up, and therefore the work ADDED to the heat added? Maybe I don't understand your statement.

  • Physics please check - ,

    since work is done on the gas, the value of work has to be negative. so you would do 2531 + 1101 instead

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