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
