Question

A spherical balloon of 21cm diameter is to be filled up with H2 at NTP from a cylinder containing the gas at 20 atm at 27∘C. The cylinder can hold 2.82 litre of water at NTP . Calculate the number of balloons that can be filled up.

Answer 1

Answer:

Volume of one balloon :

=4πr cube=4×22×(21)cube=4851 cm cube

3 3 7 2

                                        =4.851 litre

Let n balloons be filled; thus, total volume of hydrogen used in filling balloons 

=4.851×n litre

Total volume of hydrogen in the cylinder at NTP,

V=20×2.82×273=51.324 litre

300×1

Actual volume of H2 to be transferred to balloons

=51.324−2.82(2.82 litre retained in the cylinder)

=48.504 litre

No. of balloons filled ′n′=48.504

4.851

=10

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