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A weather balloon is inflated with helium. The balloon has a v

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A weather balloon is inflated with helium. The balloon has a volume of 100 $m^{3}$ and it must be inflated to pressure of 0.10 atm. If 50 L gas cylinders of helium at a pressure of 100 atm are used, how many cylinders are needed? Assume that the temperature is constant.

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A weather balloon is inflated with helium. The balloon has a volume of 100

m^{3}

and it must be inflated to pressure of 0.10 atm. If 50 L gas cylinders of helium at a pressure of 100 atm are used, how many cylinders are needed? Assume that the temperature is constant.

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Text solutionVerified

Answer: aSolution: (a) Volume of He at 0.1 atm

P_{1} V_{1} = P_{2} V_{2}

50 \times 100 = 0.1 \times V_{2}

V_{2} = 50000 L

Volume available for balloon =49950 L

= 49.95 m^{3}

Volume of balloon

= 100 m^{3}

So, 2 cylinder required.

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Question Text	A weather balloon is inflated with helium. The balloon has a volume of 100 $m^{3}$ and it must be inflated to pressure of 0.10 atm. If 50 L gas cylinders of helium at a pressure of 100 atm are used, how many cylinders are needed? Assume that the temperature is constant.
Answer Type	Text solution:1
Upvotes	152

A weather balloon is inflated with helium. The balloon has a volume of 100 m3 and it must be inflated to pressure of 0.10 atm. If 50 L gas cylinders of helium at a pressure of 100 atm are used, how many cylinders are needed? Assume that the temperature is constant.

Text solutionVerified

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A weather balloon is inflated with helium. The balloon has a volume of 100 $m^{3}$ and it must be inflated to pressure of 0.10 atm. If 50 L gas cylinders of helium at a pressure of 100 atm are used, how many cylinders are needed? Assume that the temperature is constant.