183k views
4 votes
In a heat engine if 1000 j of heat enters the system the piston does 500 j of work, what is the final internal energy of the system if the initial energy was 2000 j?

1. write the equation
2.list out your known variables
3.plug the numbers into the equations
4.Solve
5.write your solution statement that includes initial energy and final

User Emekm
by
5.2k points

1 Answer

4 votes

Answer:

2500 J

Step-by-step explanation:

Let's solve the problem using the first law of thermodynamics, which states that


U_f - U_i = Q-W

where

Uf is the final internal energy

Ui is the initial internal energy

Q is the heat absorbed by the system

W is the work done by the system

In this problem, we have:

Ui = 2000 J is the initial internal energy

Q = 1000 J is the heat absorbed by the system

W = 500 J is the work done by the piston

If we substitute numbers into the equation, we find:


U_f =U_i + Q-W=2000 J+1000 J-500 J=2500 J

User Phlegx
by
5.9k points