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NEET UG PHYSICS MCQ: KINETIC THEORY OF GASES
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Medium
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Analyzing
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Given below are two statements :
Statement I : The temperature of a gas is . When the gas is heated to , the root mean square speed of the molecules is doubled.
Statement II : The product of pressure and volume of an ideal gas will be equal to translational kinetic energy of the molecules.
In the light of the above statements, choose the correct answer from the options given below:
Statement I : The temperature of a gas is . When the gas is heated to , the root mean square speed of the molecules is doubled.
Statement II : The product of pressure and volume of an ideal gas will be equal to translational kinetic energy of the molecules.
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 true but statement II is false
Option D is correct because Statement I is true (RMS speed doubles when temperature quadruples in Kelvin), but Statement II is false (PV = 2/3 * Translational KE).
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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)
