   Chapter 10, Problem 57AP

Chapter
Section
Textbook Problem

Long-term space missions require reclamation of the oxygen in the carbon dioxide exhaled by the crew. In one method of reclamation, 1.00 mol of carbon dioxide produces 1.00 mol of oxygen, with 1.00 mol of methane as a by-product. The methane is stored in a tank under pressure and is available to control the attitude of the spacecraft by controlled venting. A single astronaut exhales 1.09 kg of carbon dioxide each day. If the methane generated in the recycling of three astronauts’ respiration during one week of flight is stored in an originally empty 150-L tank at −45.0°C, what is the final pressure in the tank?

To determine
The final pressure.

Explanation

Given Info: Mass of carbon dioxide exhaled is 1.09 kg per day. Volume is 150 L and temperature is 45.0οC .

Formula to calculate the final pressure is,

P=mRTMV

• m is the total mass of the carbon dioxide produced by 3 astronauts in 7 days
• R  is the gas constant
• T is the temperature
• P is the pressure
• M is the molar mass

The total mass is,

m=3(1.09kg/day)(7days)=22.9kg

Substitute 22.9 kg for m, 150 L for V, 45.0οC for T, 44.0 g/mol for M and 8.31Jmol-1K-1 for R in the above equation to get P.

P=(22.9kg)(8

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