Answered

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150 J of heat is supplied to the system while 250 J of work is done on the system. Calculate the change in internal energy of the system.

A) 100 J
B) 400 J
C) -400 J
D) -100 J

Sagot :

GinnyAnsweridn
Certainly! Let's determine the change in internal energy of the system using the first law of thermodynamics. This law states that the change in internal energy (ΔU) of a system is equal to the heat supplied to the system (Q) plus the work done on the system (W).

The formula can be expressed as:
[tex]\[ \Delta U = Q + W \][/tex]

Here are the given values:
- Heat supplied to the system ([tex]\(Q\)[/tex]) = 150 J
- Work done on the system ([tex]\(W\)[/tex]) = 250 J

Now, we will substitute the given values into the formula:

[tex]\[ \Delta U = 150 \, \text{J} + 250 \, \text{J} \][/tex]

Adding these together:

[tex]\[ \Delta U = 400 \, \text{J} \][/tex]

Therefore, the change in internal energy of the system is 400 J. The correct answer is:

B) 400 J
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