Question

Balloons of 4L capacity are to be filled with Hydrogen at a pressure of 1 atm and 27℃ from an 8L cylinder containing Hydrogen at 10 atm at the same temperature. The number of balloons that can be filled is?

Answer 1

Answer : The number of balloons that can be filled is 20.

Solution : Given,

Volume of balloons = 4 L

Pressure of Balloons = 1 atm

Volume of cylinder = 8 L

Pressure of cylinder = 10 atm

Temperature is same for both balloons and cylinder.

Using ideal gas law,

$PV=nRT$

where,

P = pressure, V = volume, T = temperature, n = number of moles, R = gas constant

At constant temperature, 'n' is directly proportional to the pressure and volume.

$n=PV$

Now we have to calculate moles of balloons and cylinder.

For balloons :

$n_b=(1atm)\times (4L)=4$

For cylinder :

$n_c=(10atm)\times (8L)=80$

Now we have to calculate the number of balloons that can be filled.

The number of balloons that can be filled = $\frac{n_c}{n_b}=\frac{80}{4}=20$

Therefore, the number of balloons that can be filled is 20.

Answer 2

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