A balloon is filled with hydrogen at room temperature. It will burst if the pressure exceeds 0.2 bar. If at 1 bar pressure, the gas occupies 2.27 L volume, up to what volume can the balloon be expanded?

Solution

From the given data,
$space space space space straight V subscript 1 space equals space 2.27 space straight L space space space space space space space space space space space space space straight V subscript 2 space equals space ? space space straight P subscript 1 space equals 1 space bar space space space space space space space space space space space space space space space space straight P subscript 2 space equals space 0.2 space bar According space to space Boyle apostrophe straight s space law comma space space space space space space space space space space space space space space space space space straight P subscript 1 straight V subscript 1 space equals space straight P subscript 2 straight V subscript 2 therefore space space space space space space straight V subscript 2 space equals space fraction numerator straight P subscript 1 straight V subscript 1 over denominator straight P subscript 2 end fraction$
Substituting the values, we have
$space space space straight V subscript 2 space equals fraction numerator 1 space bar space cross times space 2.27 space straight L over denominator 0.2 space bar end fraction space equals space 11.35 space straight L$
Since balloon bursts at 0·2 bar pressure, the volume of the balloon should be less than 11·35L.

Some More Questions From States of Matter Chapter

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States Of Matter

A balloon is filled with hydrogen at room temperature. It will burst if the pressure exceeds 0.2 bar. If at 1 bar pressure, the gas occupies 2.27 L volume, up to what volume can the balloon be expanded?

Some More Questions From States of Matter Chapter

What is the absolute zero temperature?

Can absolute zero temperature be attained for a gas?

How pressure of a given sample of gas is related to absolute temperature at constant volume?

How is the pressure of a gas related to the number of molecules of the gas at constant temperature and volume?

What is standard (or normal) temperature and pressure (STP)?

What does SATP stand for? Define it.

What is the value of molar volume at STP?

What is standard molar volume?

What is the value of gas constant in SI units?

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