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Working with energy unit conversion

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An insulated system takes in 6.50 kcal of heat and has 2000 J of work done on it. What is the change in internal energy if the system?

I believe the answer is 29.2 kJ. I need to see each step and formula to solve this question. Please assume I know nothing because this would be the correct assumption.

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Solution Summary

The solution provides an answer about working with energy unit conversion with some important points to be noted.

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1 calorie = 4.18400 joule

so, 6.50 kcal of heat = 6.50*1000 *4.184 J = 27170 ...

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