Question

A thermodynamic system has initial pressure and volume of

2.5 bar and 1m3 .After giving heat the final volume will be 1.04m3

and internal energy will reduce to 5kJ. Determine the heat given

to the system.​

Answer 1

Answer:

We have a thermodynamic system that has initial pressure P₁ = 2.5 bar and Volume V₁ = 1 m³.

After giving heat the volume becomes V₂ = 1.04 m³ and Internal Energy got  reduced to 5kJ, i.e., ΔU = -5 kJ

Since there is no change in pressure hence it is an isobaric process.

So,

⇒       W = - PΔV

⇒       W = - 2.46 atm × ( V₂ - V₁ )

⇒       W = - 2.46 atm × ( 1.04 - 1.00 )

⇒       W = - 2.46 atm ×  0.04 m³

⇒       W = - 0.0984 × 1000 atm L

Since, 1 atm L = 101.3 J

∴        W = -98.4 × 101.3

⇒       W = - 9967.92 J

Now, By the first law of thermodynamics, we have

⇒     ΔU = Q + W

⇒     -5000 = Q - 9967.92

⇒      Q = -5000 + 9967.92

⇒     Q = 4.9 kJ

Hence, The heat given to the system is 4.9 kJ.

Some Information:

→  A thermodynamic system in which the volume does not change i.e., It remains constant, The process is known as Isochoric process. In this process, Work done by the system is Zero.

→  A thermodynamic system in which the temperature remains constant, It is termed as Isothermal process.

Notice the word "ISO" in the starting of the name of specific process. It means same.

Answer 2

Answer:

Answer:

We have a thermodynamic system that has initial pressure P₁ = 2.5 bar and Volume V₁ = 1 m³.

After giving heat the volume becomes V₂ = 1.04 m³ and Internal Energy got  reduced to 5kJ, i.e., ΔU = -5 kJ

Since there is no change in pressure hence it is an isobaric process.

So,

⇒       W = - PΔV

⇒       W = - 2.46 atm × ( V₂ - V₁ )

⇒       W = - 2.46 atm × ( 1.04 - 1.00 )

⇒       W = - 2.46 atm ×  0.04 m³

⇒       W = - 0.0984 × 1000 atm L

Since, 1 atm L = 101.3 J

∴        W = -98.4 × 101.3

⇒       W = - 9967.92 J

Now, By the first law of thermodynamics, we have

⇒     ΔU = Q + W

⇒     -5000 = Q - 9967.92

⇒      Q = -5000 + 9967.92

⇒     Q = 4.9 kJ

Hence, The heat given to the system is 4.9 kJ.

Some Information:

→  A thermodynamic system in which the volume does not change i.e., It remains constant, The process is known as Isochoric process. In this process, Work done by the system is Zero.

→  A thermodynamic system in which the temperature remains constant, It is termed as Isothermal process.

Notice the word "ISO" in the starting of the name of specific process. It means same.

Explanation:

Hope this answer will help you.