Question

The volumes of two vessels are $5\text{litre}$ and $3\text{litre}$ respectively. Air is filled in them at pressure of $3$ atm and $5$ atm respectively. At constant temperature if they are connected through a tube, the resultant pressure will be

• A. $4.25\text{atm}$
• B. $4\text{atm}$
• C. $3.75\text{atm}$
• D. $3.5\text{atm}$

Answer 1

The correct option is C $3.75\text{atm}$

Given
$V_2=5\text{litre},V_2=3\text{litre}$
$P_1=3\text{atm},P_2=5\text{atm}$
By ideal gas equation
$PV=nRT$
As $T$ is constant
so, $PV=$ constant
Therefore $(PV{)}_i=(PV{)}_f$
$PV=P_1{V}_1+P_2{V}_2$
$P\left(8\right)=5\times 3+3\times 5$
$P=\frac{30}{8}=3.75\text{atmos}$
Hence, option $\left(B\right)$ is correct.