BITSAT2020ChemistryStates of MatterActual
Two vessels of volumes 16.4 ~L and 5 ~L contain two ideal gases of molecular existence at the respective temperature of 27^ C and 227^ C and exert 1.5 and 4.1 atmospheres respectively. The ratio of the number of molecules of the former to that of the later is
Options
- A2
- B1
- C1 2
- D1 3
Correct answer
A. 2
Step-by-step solution
Given conditions V ₁=16.4 ~L , ~V ₂=5 ~L P ₁=1.5 ~atm , P ₂=4.1 ~atm T ₁=273+27=300 ~K T ₂=273+227=500 ~K Applying gas equation, P ₁ ~V ₁ P ₂ ~V ₂ = n ₁ ~T ₁ n ₂ ~T ₂ n ₁ n ₂ = P ₁ ~V ₁ ~T ₁ P ₂ ~V ₂ ~T ₂ 1.5 16.4 500 4.1 5 300 = 2 1