A system receives 575 ) of heat and delivers 425 ) of work. Calculate the change in the internal energy. AE, of the system.

After applying the first law of thermodynamics, the change in the internal energy of the system is 150 Joules.

Given the following data:

To find the change in the internal energy of the system, we would apply the first law of thermodynamics.

Mathematically, the first law of thermodynamics is given by the formula:

Where;

Substituting the given parameters into the formula, we have;

Change in internal energy, E = 150 Joules

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ΔE = 150 J

Explanation:

From first law of thermodynamics, we know that;

ΔE = q + w

Where;

ΔE is change in internal energy

q is total amount of heat energy going in or coming out

w is total amount of work expended or received

From the question, the system receives 575 J of heat. Thus, q = +575 J

Also, we are told that the system delivered 425 J of work. Thus, w = -425 J since work was expended.

Thus;

ΔE = 575 + (-425)

ΔE = 575 - 425

ΔE = 150 J

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