Question

what is the change in internal energy, in j, for a system of gases that has 375 j of work done to compress it while absorbing 414 j of heat from the surroundings? report your answer to the nearest whole number. if your answer is negative, include the negative sign. if it is positive, do not include the sign.

Explanation:

Step1: Recall the first law of thermodynamics formula

The first law of thermodynamics is $\Delta U=Q + W$, where $\Delta U$ is the change in internal energy, $Q$ is the heat added to the system, and $W$ is the work done on the system.

Step2: Substitute the given values into the formula

Given $Q = 414\ J$ (heat absorbed by the system, so positive) and $W=375\ J$ (work done on the system, so positive). Then $\Delta U=414 + 375$.

Step3: Calculate the value

$\Delta U=414+375 = 789$.

Answer:

789