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The equation of state for adiabatic process performed on an ideal gas consisting of non-relativistic rigid triangular molecule in terms of pressure (P) and volume (V) is given by
- a)PV9/7 = constant
- b)PV7/5 = constant
- c)PV5/3 = constant
- d)PV4/3 = constant
Correct answer is option 'D'. Can you explain this answer?
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The equation of state for adiabatic process performed on an ideal gas ...
For rigid triangular molecule, the internal energy of a molecule, 
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Equation of State for Adiabatic Process on Ideal Gas
The equation of state for an adiabatic process performed on an ideal gas consisting of non-relativistic rigid triangular molecule in terms of pressure (P) and volume (V) is given by:
PV4/3 = constant
Explanation:
- The adiabatic process is a thermodynamic process in which there is no transfer of heat between the system and surroundings. Therefore, the internal energy of the gas remains constant.
- The ideal gas law is given by PV = nRT, where n is the number of moles of gas and R is the gas constant.
- For an adiabatic process, the ideal gas law can be modified to PVγ = constant, where γ is the ratio of specific heats for the gas.
- For a non-relativistic rigid triangular molecule, the degrees of freedom are f = 5, and the ratio of specific heats is γ = (f + 2)/f = 7/5.
- Substituting γ in the ideal gas law, we get PV7/5 = constant.
- However, we know that for an adiabatic process, the pressure and volume are related by PVγ = constant. Therefore, we can rewrite the equation as PV4/3 = constant, which is the correct equation of state for an adiabatic process performed on an ideal gas consisting of non-relativistic rigid triangular molecule.
Conclusion:
- The equation of state for an adiabatic process performed on an ideal gas consisting of non-relativistic rigid triangular molecule in terms of pressure (P) and volume (V) is given by PV4/3 = constant.
- This equation is derived from the ideal gas law and the relationship between pressure and volume for an adiabatic process.
The equation of state for an adiabatic process performed on an ideal gas consisting of non-relativistic rigid triangular molecule in terms of pressure (P) and volume (V) is given by:
PV4/3 = constant
Explanation:
- The adiabatic process is a thermodynamic process in which there is no transfer of heat between the system and surroundings. Therefore, the internal energy of the gas remains constant.
- The ideal gas law is given by PV = nRT, where n is the number of moles of gas and R is the gas constant.
- For an adiabatic process, the ideal gas law can be modified to PVγ = constant, where γ is the ratio of specific heats for the gas.
- For a non-relativistic rigid triangular molecule, the degrees of freedom are f = 5, and the ratio of specific heats is γ = (f + 2)/f = 7/5.
- Substituting γ in the ideal gas law, we get PV7/5 = constant.
- However, we know that for an adiabatic process, the pressure and volume are related by PVγ = constant. Therefore, we can rewrite the equation as PV4/3 = constant, which is the correct equation of state for an adiabatic process performed on an ideal gas consisting of non-relativistic rigid triangular molecule.
Conclusion:
- The equation of state for an adiabatic process performed on an ideal gas consisting of non-relativistic rigid triangular molecule in terms of pressure (P) and volume (V) is given by PV4/3 = constant.
- This equation is derived from the ideal gas law and the relationship between pressure and volume for an adiabatic process.
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The equation of state for adiabatic process performed on an ideal gas consisting of non-relativistic rigid triangular molecule in terms of pressure (P)and volume (V) is given bya)PV9/7= constantb)PV7/5 = constantc)PV5/3= constantd)PV4/3= constantCorrect answer is option 'D'. Can you explain this answer?
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The equation of state for adiabatic process performed on an ideal gas consisting of non-relativistic rigid triangular molecule in terms of pressure (P)and volume (V) is given bya)PV9/7= constantb)PV7/5 = constantc)PV5/3= constantd)PV4/3= constantCorrect answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The equation of state for adiabatic process performed on an ideal gas consisting of non-relativistic rigid triangular molecule in terms of pressure (P)and volume (V) is given bya)PV9/7= constantb)PV7/5 = constantc)PV5/3= constantd)PV4/3= constantCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation of state for adiabatic process performed on an ideal gas consisting of non-relativistic rigid triangular molecule in terms of pressure (P)and volume (V) is given bya)PV9/7= constantb)PV7/5 = constantc)PV5/3= constantd)PV4/3= constantCorrect answer is option 'D'. Can you explain this answer?.
The equation of state for adiabatic process performed on an ideal gas consisting of non-relativistic rigid triangular molecule in terms of pressure (P)and volume (V) is given bya)PV9/7= constantb)PV7/5 = constantc)PV5/3= constantd)PV4/3= constantCorrect answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The equation of state for adiabatic process performed on an ideal gas consisting of non-relativistic rigid triangular molecule in terms of pressure (P)and volume (V) is given bya)PV9/7= constantb)PV7/5 = constantc)PV5/3= constantd)PV4/3= constantCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation of state for adiabatic process performed on an ideal gas consisting of non-relativistic rigid triangular molecule in terms of pressure (P)and volume (V) is given bya)PV9/7= constantb)PV7/5 = constantc)PV5/3= constantd)PV4/3= constantCorrect answer is option 'D'. Can you explain this answer?.
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