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A spherical ballon of 21 cm diameter is to be filled up with hydrogen at NTP from a cylinder containing the gas at 20 atm and 27^(@)C. The cylinder can hold 2.82 litre of water at NTP Calculate the number of ballons that can be filled up. |
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Answer» SOLUTION :Volume of one balloon `=(4)/(3) pi r^(3)` `=(4)/(3)xx(22)/(7)xx((21)/(2))^(3)=4851 cm^(3)=4.851` litre Let n BALLOONS be filled, thus total volume of hydrogen USED in filling balloons `=4.851xxn` litre Total volume of hydrogen in the cylinder at NTP `V=(20xx2.82xx273)/(300xx1)=51.324` litre ACTUAL volume of `H_(2)` to be transferred to balloons `=51.324-2.82` `=48.504` litre No. of balloons filled `.n. =(48.504)/(4.851)=10` |
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