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A spherical balloon with radius 25 cm is filled with hydrogen gas. IF the weight of the...

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torrip996 | Student, Grade 10 | (Level 1) Salutatorian

Posted September 21, 2013 at 5:22 PM via web

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A spherical balloon with radius 25 cm is filled with hydrogen gas. IF the weight of the rubber is 20 g, what is the weight of the balloon.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 21, 2013 at 5:28 PM (Answer #1)

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A spherical balloon of radius 25 cm is filled with hydrogen gas. The volume of a sphere of radius r is `(4/3)*pi*r^3` .

The volume here is `(4/3)*pi*r^3 = (4/3)*pi*25^3` = 0.0654 m^3 = 65.4 liters. Assume the gas in the balloon is at STP, 1 mole of hydrogen has a volume 22.4 liters. Its mass is 2 g.

The mass of 65.4 liters is 5.84 g. The mass of the rubber balloon is 20 g.

The total mass of the balloon filled with hydrogen is 25.84 g

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