A system takes in \(550 \mathrm{J}\) of heat while performing \(840 \mathrm{J}\) of work. What is the change in internal energy of the system?

Short Answer

Expert verified
Answer: The change in internal energy of the system is -290 J.

Step by step solution

01

Write down the given values

We are given: Heat provided to the system (Q) = 550 J Work done by the system (W) = 840 J
02

Use the first law of thermodynamics

We will use the first law of thermodynamics formula to find the change in internal energy: ∆U = Q - W
03

Plug in the values and find the change in internal energy

Now we'll plug in the values of Q and W into the formula: ∆U = 550 J - 840 J ∆U = -290 J The change in internal energy of the system is -290 J. Since the change in internal energy is negative, it implies that the system has lost some of its internal energy in the form of work done.

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