Concept explainers
In 2012, Felix Baumgartner jumped from a balloon roughly 24 mi above Earth, breaking the record for the highest skydive. He reached speeds of more than 700 miles per hour and became the first skydiver to exceed the speed of sound during free fall. The helium-filled plastic balloon used to carry Baumgartner to the edge of space was designed to expand to 8.5 × 108 L in order to accommodate the low pressures at the altitude required to break the record. (a) Calculate the mass of helium in the balloon from the conditions at the time of the jump (8.5 × 108 L, −67.8°C, 0.027 mmHg). (b) Determine the volume of the helium in the balloon just before it was released, assuming a pressure of 1.0 atm and a temperature of 23°C.
(a)
Interpretation:
The mass of the helium in the balloon has to be calculated.
Concept Introduction:
Ideal gas is the most usually used form of the ideal gas equation, which describes the relationship among the four variables P, V, n, and T. An ideal gas is a hypothetical sample of gas whose pressure-volume-temperature behavior is predicted accurately by the ideal gas equation.
Answer to Problem 5.171QP
The mass of the helium in the balloon is
Explanation of Solution
Given:
Pressure is
Volume is
The mass of the helium in the balloon can be calculated as
Converting moles to grams to gives
Hence, the mass of the helium in the balloon is
(b)
Interpretation:
The volume of the helium in the balloon can be calculated.
Concept Introduction:
Ideal gas is the most usually used form of the ideal gas equation, which describes the relationship among the four variables P, V, n, and T. An ideal gas is a hypothetical sample of gas whose pressure-volume-temperature behavior is predicted accurately by the ideal gas equation.
Answer to Problem 5.171QP
The volume of the helium in the balloon is
Explanation of Solution
Given data:
Pressure is
Volume is
The volume of the helium in the balloon has to be calculated as
Rearranging
Plugging in the known values
And solving for
Hence, the volume of the helium in the balloon is
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Chapter 5 Solutions
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