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 2v.
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 2v.
In the light of the above statements, choose the correct answer from the options given below :
- (A)Both Statement I and Statement II are true
- (B)Both Statement I and Statement II are false
- (C)Statement I is true but Statement II is false
- (D)Statement I is false but Statement II is true✓ Correct
Answer: (D)
Solution
Statement I is false: the average momentum of molecules in an ideal gas is zero due to random motion. Statement II is true: . When temperature doubles () and molecules dissociate (), the new rms speed is .
JEE Main · 2022 · 28 Jul 2022 · Shift 1 · Single correct option