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A spherical balloon of 21 cm diameter is to be filled up with H 2 at NTP from cylinder containing the gas at 20 atm at 27 o C . The cylinder can hold 2.82 l i t r e of water a NTP. Calculate the number of balloons that can be filled up.

Correct answer

10

Step-by-step solution

Volume of one balloon (to be filled) 4 3 π r 3 = 4 3 × 22 7 × 21 2 3 = 4851 mL = 4 .851 litre Let ‘ n ’ balloons are filled, then total volume of H 2 used in filling balloons = 4.851 × n l i t r e The cylinder of H 2 used in filling balloons will also have H 2 in it, after n balloons are filled. Also volume of cylinder = 2 .82 litre Hence Total volume of H 2 at NTP = volume of ' n ' balloons + volume of cylinder = 4.851 × n + 2.82 ….(i) The volume of available H 2 at NTP can be derived by the data Given P = 1 atm,

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