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a system does 300 j of work at the same time that 1000 j of energy is transferred to the system as heat whats is the change in the system's internal energy

1000 in and 300 out is a net gain of 700 Joules

delta U = q + w

dU = 1000 - 300 = ?

To determine the change in the system's internal energy, we can use the first law of thermodynamics, which states that the change in the internal energy of a system is equal to the heat added to the system minus the work done by the system.

Mathematically, the equation is:
ΔU = Q - W

Where:
ΔU represents the change in internal energy
Q represents the heat added to the system
W represents the work done by the system

In this case, we are given that the system does 300 J of work and 1000 J of energy is transferred to the system as heat. Therefore, we can substitute these values into the equation to find the change in internal energy.

ΔU = 1000 J - 300 J
ΔU = 700 J

The change in the system's internal energy is 700 J.