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Answer: A gas-filled balloon having a volume of 2.50 L at

Chapter 5, Problem 35P

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QUESTION:

A gas-filled balloon having a volume of 2.50 L at 1.2 atm and 25°C is allowed to rise to the stratosphere (about 30 km above the surface of Earth), where the temperature and pressure are -23°C and \(3.00 \times 10^{-3}\) atm, respectively. Calculate the final volume of the balloon.

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QUESTION:

A gas-filled balloon having a volume of 2.50 L at 1.2 atm and 25°C is allowed to rise to the stratosphere (about 30 km above the surface of Earth), where the temperature and pressure are -23°C and \(3.00 \times 10^{-3}\) atm, respectively. Calculate the final volume of the balloon.

ANSWER:

Step 1 of 2

The goal of the problem is to calculate the final volume of the balloon.

Given:

Initial Conditions:

\(P_1\) = 1.2 atm                 

\(V_1\) = 2.50 L

\(T_1\) = 25°C = (25 + 273)K = 298 K

Final Conditions:

\(P_2\) = 3.00 × \(10^{-3}\) atm

\(V_2\) = ?

\(T_2\) = -23°C = (-23 + 273)K = 250 K

 

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