A 8.2 L cylinder of nitrogen gas at 5.0 atm pressure and `27^(@)C` developed a leakage. When the leakage was repaired , 3.5 atm of nitrogen remained in the cylinder still at that temperature . How many moles of gas escaped ?

Options

A. 0.75 mol
B. 1.0 mol
C. 0.50 mol
D. 1.5 mol

Answer

C

Explanation

Initial moles ( n ) `= ((5.0 atm) xx ( 8.2L))/(( 0.082) xx ( 300K))`
Moles after leakage is repaired (n)
`= ((3.5atm) xx( 8.2L))/( ( 0.082) xx ( 300K))`
Moles of gas escaped `=n-n.`
`= ( 8.2)/( 0.082 xx ( 3.0))[5.0-3.5]`
= 0.5 mol