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10/09/2021 10:30 am
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A spherical balloon of 21 cm diameter is to be filled with H2 at NTP from a cylinder containing the gas at 20 atm at 27°C. The cylinder can hold 2.82 L of water at NTP. The number of balloons that can be filled up is
(a) 15
(b) 10
(c) 20
(d) 25
1 Answer
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10/09/2021 10:37 am
Correct answer: (b) 10
Explanation:
The volume of the balloon = \(\frac{4}{3}\pi r^3\)
= \(\frac{4}{3}\) x \(\frac{22}{7}\) x \((\frac{21}{2})^3\)
= 4851 mL
Volume of the cylinder = 2820 mL
Volume of H2 at NTP
= \(\frac{20 \times 2820 \times 273}{300 \times 1}\)
= 51324 mL
After filling the cylinder will have H2 equal to its volume = 2820 mL
∴ Volume of H2 for filling balloons
= 51324 – 2820 = 48504 mL
Hence no. of balloon to be filled
= \(\frac{48504}{4851}\) ≈ 10