11.8 - means that the initial pressure times the intial...

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Key: (Try this without a calculator) A balloon rises from sea level to a high altitude where the atmospheric pressure is 0.2 atm. Yet, the temperature does not change. The original volume of the balloon was 10 gal. What is its new volume at the high altitude? a. 10 gal b. 20 gal c. 30 gal d. 40 gal e. 50 gal f. 60 gal g. 1000 ML Consider the ideal gas law: PV = nRT. n, R, and T are all constant in this situation. That means if P goes up, then V will need to go down the same amount in order to keep nRT constant. This
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Unformatted text preview: means that the initial pressure times the intial volume is equal to the final pressure times the final volume. In other words, P 1 V 1 = P 2 V 2 . Plugging in the provided variables you get V 2 = 50 gal. You can often just think through problems such as this. Since P dropped from sea level pressure (1atm) to 0.2 atm, that means it dropped by a factor of five. Therefore, V must go up by a factor of 5 to keep nRT constant. since the initial V was 10 gal, the final V must be 50 gal....
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