Question

PLEASE HELP!! 10 points! WILL MARK BRAINIEST! In a heat engine if 1,000 J of heat enters the system and the piston does 500 J of work, what is the final internal energy of the system if the initial energy was 2,000 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 energy added Thank you so much!

Answer 1

As we know that from first law of thermodynamics we have

$Q = \Delta U + W$

here we know that

Q = heat given to the system

W = work done by the system

$\Delta U$ = change in internal energy of the system

now we will have

Q = 1000 J

$U_i = 2000 J$

Work done by the piston = 500 J

so work done by system of gas = -(work done by piston)

$W_g = -500 J$

now from above equation we have

$1000 J = - 500 + \Delta U$

$\Delta U = 1500 J$

now we know that

$\Delta U = U_f - U_i$

$U_f - 2000 = 1500 J$

$U_f = 3500 J$

So final internal energy of the gas is 3500 J while initial internal energy is given as 2000 J