Question

Balloons of $4$ lit. capacity are to be filled hydrogen at a pressure of $1atm$ and ${27}^{\circ }C$ from an $8$ lit cylinder containing hydrogen at $10atm$ at the same temperature. The number of balloons that can be filled is:

• A. $20$
• B. $18$
• C. $40$
• D. $38$

Answer 1

The correct option is A $20$

Using ideal gas law,

$PV=nRT$

As the temperature is the same

$n\propto PV$

Given that

Balloons of $4L$ capacity are to be filled hydrogen at a pressure of $1atm$.

Therefore,

For ballons,

$n=1$

$P_b=1atm$

$V_b=4L$

Also given that $8L$ cylinder containing hydrogen at $10atm$ at the same temperature.

For cylinder,

$n=?$

$P_c=10atm$

$V_c=8L$

$\therefore$ No. of ballons that can be filled from the cylinder $=\frac{P_c{V}_c}{P_b{V}_b}=\frac{10\times 8}{4\times 1}=20$

Hence the number of balloons that can be filled is $20$.

Hence, the correct option is $\text{A}$