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In a heat engine, if 700 J of heat enters the system, and the piston does 400 J of work, what is the final internal (thermal) energy of the system if the initial energy is 1,200 J?


1,100 J


900 J


1,500 J


300 J


In a heat engine, if 500 J of heat enters the system, and the piston does 300 J of work, what is the final internal (thermal) energy of the system if the initial energy is 1,500 J?


1,700 J800 J1,300 J200 J

Verified Answer :

MissPhiladelphia

We are given with:
Q = 700 J
W = 400

U1 = 1200 J

From the first law of thermodynamics
Q = ΔU + W
Q = U2 - U1 + W
U2 = Q - W + U1
U2 = 700 - 400 + 1200
U2 = 1500 J

We are given with
Q = 500 J
W = 300 J
U1 = 1500 J

U2 = 500 - 300 + 1500
U2 = 1700 J

The energy is formed by the heat is called thermal energy. This energy is used in various industries such as power plants, paper mills, and etc

According to the question, the first law of thermodynamic is defined as:-

The first law of thermodynamics is a version of the law of conservation of energy, adapted for thermodynamic processes, distinguishing two kinds of transfer of energy, as heat and as thermodynamic

The data given in the question is,

\(Q = 700 J\\W = 400U_1 = 1200 J\)

From the first law of thermodynamics


Q = ΔU + W

\(Q = U_2 - U_1 + W\\U_2 = Q - W + U_1\\U_2 = 700 - 400 + 1200\\\\U_2 = 1500 J\)

For U2 the given data


\(Q = 500 J\\W = 300 J\\U_1 = 1500 J\\U_2 = 500 - 300 + 1500\\\\U_2 = 1700 J\)

For more information, refer to the link:-

https://brainly.com/question/1368306

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