Verified Solution • 2025–26 Session
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QNEET-2022-Ph-522: NEET 2022 Physics - Class 11 NEET-2022-Ph-522 Solution: Three vessels of equal capacity have gases at the same…
Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains helium (monoatomic) the second contains fluorine (diatomic) and the third contains sulfur hexafluoride (polyatomic). The correct statement among the following is: The root mean square speed of sulfur hexafluoride is the largest All vessels contain unequal number of respective molecules The root mean square speed of molecules is same in all three cases The root mean square speed of helium is the largest
Multiple Choice Options
- A The root mean square speed of sulfur hexafluoride is the largest
- B All vessels contain unequal number of respective molecules
- C The root mean square speed of molecules is same in all three cases
- D The root mean square speed of helium is the largest
Step-by-Step Verified Solution
All three vessels have equal volume and same temperature and pressure.
From ideal gas equation
P V = n R T
n R = P V T
n = P V R T = constant
So, here all three vessels contains equal number of moles and number of gas molecules.
Now, v r m s = 3 R T M _ v r m s _ 1 M
Here, rms speed of helium is the largest.