QuestionPractice 6 In compressing a gas, J of work is done on the system. At the same time, J of heat escapes from the system. What is for the system?
Studdy Solution
STEP 1
1. The first law of thermodynamics applies, which states that the change in internal energy () of a system is equal to the heat added to the system () minus the work done by the system ().
2. Work done on the system is considered positive.
3. Heat leaving the system is considered negative.
STEP 2
1. Identify the given values and their signs according to the conventions.
2. Apply the first law of thermodynamics to find .
STEP 3
Identify the given values and their signs according to the conventions.
- Work done on the system, J (positive because work is done on the system).
- Heat escaping from the system, J (negative because heat is leaving the system).
STEP 4
Apply the first law of thermodynamics to find .
The first law of thermodynamics is given by:
Substitute the given values into the equation:
Simplify the expression:
The change in internal energy for the system is:
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