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NEET UG PHYSICS MCQ: KINETIC THEORY OF GASES
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Given below are two statements :
Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature.
Statement II : The rms speed of oxygen molecules in a gas is v. If the temperature is doubled and the oxygen molecules dissociate into oxygen atoms, the rms speed will become
In the light of the above statements, choose the correct answer from the options given below:
Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature.
Statement II : The rms speed of oxygen molecules in a gas is v. If the temperature is doubled and the oxygen molecules dissociate into oxygen atoms, the rms speed will become
In the light of the above statements, choose the correct answer from the options given below:
View answer and explanation
Correct option: D
Statement I is false but Statement II is true
Option D (Statement I is false but Statement II is true) is correct because the average momentum is zero, and the rms speed doubles when temperature doubles and molecules dissociate.
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A monoatomic ideal gas is contained in a rigid container of volume with walls of total inner surface area , thickness and thermal conductivity . The gas is at an initial temperature and pressure . If the pressure of the gas as a function of time if the temperature of the surrounding air is is . Find the value of . All temperatures are in absolute scale.
Assertion: The change in air pressure effect the speed of sound.
Reason: The speed of sound in a gas is proportional to the square of pressure. The rms speed of oxygen molecule in a vessel at particular temperature is where is the average speed of the molecule. The value of will be: For an ideal gas the instantaneous change in pressure with volume is given by the equation If at is the given boundary condition, then the maximum temperature one mole of gas can attain is (Here is the gas constant)
Reason: The speed of sound in a gas is proportional to the square of pressure. The rms speed of oxygen molecule in a vessel at particular temperature is where is the average speed of the molecule. The value of will be: For an ideal gas the instantaneous change in pressure with volume is given by the equation If at is the given boundary condition, then the maximum temperature one mole of gas can attain is (Here is the gas constant)
