50 points do this in your own words do not copy from somewhere else!

in a heat engine, if 1000j if heat enters the system and the piston does 500j of work, what is the final internal energy of the system if the initial energy was 2000j?

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

2500 J

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

answer: at room temperature (roughly 20 degrees c), you can dissolve 203.9 grams (or 200 grams) of sugar in 100 ml of water. as water temperature increases, the amount of sugar that will dissolve increases, up to about 500 grams of sugar in 100 ml water at 100 degrees c.

explanation: