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In a adiabatic change, the pressure P and temperature T of a diatomic gas are related by the relation P@T^C where C equals to (1) 5/3 (2) 2/5 (3) 3/5 (4) 7/2?
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Adiabatic Change in a Diatomic Gas
Adiabatic change is a thermodynamic process in which no heat is exchanged between the system and surroundings. In this case, pressure and temperature are related by the equation P@T^C, where C is a constant.
Finding the Value of C
To find the value of C, we can use the relationship between pressure, volume, and temperature for a diatomic gas given by the equation PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature.
We can rearrange this equation to get P = (nR/V)T, which shows that pressure and temperature are directly proportional to each other for a fixed volume and number of moles.
For an adiabatic process, we know that PV^C is a constant, where C is the ratio of specific heats for a diatomic gas, given by C = Cp/Cv.
The value of C for a diatomic gas is 5/3, which means that P@T^5/3 is the relationship between pressure and temperature for an adiabatic change in a diatomic gas.
Therefore, the answer is option (1) 5/3.
Conclusion
In summary, an adiabatic change in a diatomic gas is characterized by the relationship between pressure and temperature given by the equation P@T^C. The value of C for a diatomic gas is 5/3, which means that pressure and temperature are related by the equation P@T^5/3.
Adiabatic change is a thermodynamic process in which no heat is exchanged between the system and surroundings. In this case, pressure and temperature are related by the equation P@T^C, where C is a constant.
Finding the Value of C
To find the value of C, we can use the relationship between pressure, volume, and temperature for a diatomic gas given by the equation PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature.
We can rearrange this equation to get P = (nR/V)T, which shows that pressure and temperature are directly proportional to each other for a fixed volume and number of moles.
For an adiabatic process, we know that PV^C is a constant, where C is the ratio of specific heats for a diatomic gas, given by C = Cp/Cv.
The value of C for a diatomic gas is 5/3, which means that P@T^5/3 is the relationship between pressure and temperature for an adiabatic change in a diatomic gas.
Therefore, the answer is option (1) 5/3.
Conclusion
In summary, an adiabatic change in a diatomic gas is characterized by the relationship between pressure and temperature given by the equation P@T^C. The value of C for a diatomic gas is 5/3, which means that pressure and temperature are related by the equation P@T^5/3.
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In a adiabatic change, the pressure P and temperature T of a diatomic gas are related by the relation P@T^C where C equals to (1) 5/3 (2) 2/5 (3) 3/5 (4) 7/2?
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In a adiabatic change, the pressure P and temperature T of a diatomic gas are related by the relation P@T^C where C equals to (1) 5/3 (2) 2/5 (3) 3/5 (4) 7/2? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In a adiabatic change, the pressure P and temperature T of a diatomic gas are related by the relation P@T^C where C equals to (1) 5/3 (2) 2/5 (3) 3/5 (4) 7/2? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a adiabatic change, the pressure P and temperature T of a diatomic gas are related by the relation P@T^C where C equals to (1) 5/3 (2) 2/5 (3) 3/5 (4) 7/2?.
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