Question

Two vessels of volume 10 and 5 litres contain air at 5 atmospheres and X (Unknown) atmospheres. When they are connected together with a small tube the resultant pressure is '6' atmospheres find the value of 'X'

• A. 8 atm
• B. 16 atm
• C. 4 atm
• D. 2 atm

Answer 1

The correct option is A 8 atm

By ideal gas equation, PV = nRT
now we are given that T is constant
We observe that n $\alpha$ PV
also number of moles depend on mass so number of moles will remain conserved
so, product PV will remain conserved because PV is proportional to "n"
so, $P_{final}(V_1+V_2)=P_1{V}_1+X{V}_2$
Here, $P_{final}$ = 6 atm
$V_1$ = 10 ltr
$V_2$ = 5 ltr
$P_1$ = 5 atm
putting all the values, we get
X = 8 atm