KCET2014ChemistryAmines
( 5.5 mg ) of nitrogen gas dissolves in ( 180 ~g ) of water at ( 273 ~K ) and one atm pressure due to nitrogen gas. The mole fraction of nitrogen in ( 180 ~g ) of water at ( 5 ~atm ) nitrogen pressure is approximately
Options
- A( 1 10⁻⁵ )
- B( 1 10⁻⁴ )
- C( 1 10⁻⁶ )
- D( 1 10⁻³ )
Correct answer
B. ( 1 10⁻⁴ )
Step-by-step solution
No. of moles of ( N₂= 5.5 10⁻³ 28 ) moles [ array l =2.36 10⁻⁴ moles p_ N₂ =k_ H n_ N₂ n_ H ₂ O (x_ N₂ = n_ N₂ n_ H ₂ O ; n_ H ₂ O n_ N₂ ) 1=k_ H 2.36 10⁻⁴ 10 k_ H = 10 10⁴ 2.36 =4.2 10⁴ array ] Now, at ( 5 ~atm ) pressure of nitrogen gas, the mole fraction of nitrogen gas is, [ array l x_ N₂ = p_ N₂ k_ H x_ N₂ = 5 4.2 10⁴ x_ N₂ =1.12 10⁻⁴ 1 10⁻⁴ array ]