physics question on gas laws help needed pls!

[nabeel LS7]

A gas cylinder contains 0.05 m3 of helium at a pressure of 16 k Pa. the gas is used to blow up balloons. each balloon when fully inflated contains 0.04 m3 at a pressure of 102 k Pa. the temperature is the same for both the helium inside cylinder and balloons.

Use pV/ T to calculate the maximum number of balloons that can be fully inflated using this gas cylinder.
The text book answer is 196. How do u get that?

 

[Iridescent]

A gas cylinder contains 0.05 m3 of helium at a pressure of 16 k Pa. the gas is used to blow up balloons. each balloon when fully inflated contains 0.04 m3 at a pressure of 102 k Pa. the temperature is the same for both the helium inside cylinder and balloons.

Use pV/ T to calculate the maximum number of balloons that can be fully inflated using this gas cylinder.
The text book answer is 196. How do u get that?

The pressure of the balloons has to be 102Pa not 102 kilo Pa. Check it in your book!

Solving it with 102 Pa,

As temperature is same it can be ignored. So:
pV (of cylinder) divided by pV (of balloon)

(16000*0.05)/(102*0.05)
=196.078
Approx. 196

 

[nabeel LS7]

thanks alot! really appreciate it ..it ends up with the same answer so ill go with the same way!

 

[Iridescent]

thanks alot! really appreciate it ..it ends up with the same answer so ill go with the same way!

Ur welcum