Explanation Given data: V i = 4.0 m 3 , p i = 100 kPa and p f = 50 kPa . Let consider that temperature were unchanged, then the volume would be doubled that is 8.0 m 3 ( 2 × 4.0 m 3 ) . If a temperature in the balloon drops, this leads to a shrink the gas volume which makes a volume to be less than 8.0 m 3 . As there is no heat transfer then the process is adiabatic. From Boyle’s law equation for polytrophic process. p i V i γ = p f V f γ Here, p i is the initial pressure, V i is the initial volume, p f is the final pressure, V f is the final volume, and γ is the adiabatic, which is known as 1.4. Rearrange the equation. V f = p i p f γ V i Substitute 4

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ISBN: 9780321989246

Author: Knight

Publisher: PEARSON CO

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Density of Solids

The density of a substance refers to how much matter is present in a given amount of space. It is expressed as the ratio of the mass of the substance to its volume.

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Chapter P.3, Problem 13P

To determine

The volume of the balloon.

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The volume of the balloon.

Solution Summary: The author explains that the balloon's volume is doubled if the temperature drops, resulting in a shrinkage of the gas volume.

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The volume of the balloon.

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