Explanation Given Info: The mass of carbon dioxide exhaled by a single astronaut in each day is 1.09 Kg , the volume of the tank is 150 L and the temperature is − 40.0 ° C . Formula to calculate the final pressure is, P V = ( m M ) R T (1) Here, m is the molecular mass of the substance. M is the molecular weight of the substance. R is the gas constant. T is the temperature. V is the volume. It is given in the problem that the methane generated in the respiration recycling of three astronaut during one week of flight is stored in a tank of volume 150 L . The mass of CO 2 released by the three astronauts in one week is, m = ( 1.09 Kg ) ( 3 ) ( 7 ) = 22.89 Kg The molar mass of the CO 2 is 44 × 10 − 3 Kg / mol Rearrange the equation (1) for P . P = ( m M ) R T V Substitute 22.89 Kg for m , 150 L for V , 8

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN: 9781305116399

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Chapter 19, Problem 19.45AP

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The final pressure of the tank.

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The final pressure of the tank.

Solution Summary: The author explains the formula to calculate the final pressure of the tank. The methane generated in the respiration recycling of three astronauts during one week of flight is stored in a tank of volume.

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