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In an adiabatic change, the pressure and temperature of a monoatomic gas are related with relation as P α TC where C is equal to
- a)5/4
- b)5/3
- c)5/2
- d)3/5
Correct answer is option 'C'. Can you explain this answer?
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In an adiabatic change, the pressure and temperature of a monoatomic g...
∝ T^(5/3). This means that as the temperature of the gas increases, the pressure of the gas will also increase, but at a faster rate. Specifically, if the temperature of the gas is doubled in an adiabatic process, the pressure of the gas will increase by a factor of (2)^(5/3) or approximately 2.98 times. This relationship is a result of the fact that in a monoatomic gas, the internal energy is only related to the temperature, and not to any other properties like volume or pressure. Therefore, in an adiabatic process where no heat is exchanged with the surroundings, the internal energy of the gas remains constant, and the relationship between pressure and temperature can be described by the ideal gas law and the adiabatic equation of state.
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In an adiabatic change, the pressure and temperature of a monoatomic gas are related with relation as Pα TCwhere C is equal toa)5/4b)5/3c)5/2d)3/5Correct answer is option 'C'. Can you explain this answer?
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