Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 18, Problem 29P

The pressure gauge on a cylinder of gas registers the gauge pressure, which is the difference between the interior pressure and the exterior pressure P0. Let’s call the gauge pressure Pg. When the cylinder is full, the mass of the gas in it is mi at a gauge pressure of Pgi. Assuming the temperature of the cylinder remains constant, show that the mass of the gas remaining in the cylinder when the pressure reading is Pgf is given by

m f = m i ( P g f + P 0 P g i + P 0 )

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The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV = nRT, where n is the number of moles of the gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant, P = 7.0 atm and is increasing at a rate of 0.15 atm/min and V = 13 and is decreasing at a rate of 0.17 L/min. Find the rate of change of T with respect to time (in K/min) at that instant if n = 10 mol.(Round your answer to four decimal places.)
Consider the two-sided chamber shown, where the right half has a volume of V = 490 L and the left half has a volume of 2V. The chamber has a seal that separates the right from the left half. The chamber is sealed and an ideal gas is pumped into the right side at a pressure P = 3.2 atm and temperature T = 72° C. The seal between the two sides is then opened. If the physical temperature decreases by a factor of 2 while the gas fills the chamber, what is the new pressure, in kilopascals?
Consider the two-sided chamber shown,where the right half has a volume of V = 490 L and the left half has a volume of 2V. The chamber has a seal which separates the right from the left half. The chamber is sealed and an ideal gas is pumped into the right side at a pressure P = 3.2 atm and temperature T = 72° C. The seal between the two sides is then opened. (A) If the physical temperature decreases by a factor of 2 while the gas fills the chamber, what is the new pressure, in kilopascals?  (B)The chamber is then sealed again, trapping 2/3 of the gas molecules in the left side. The temperature of the left side is then doubled, back to the original temperature T. What is the pressure in the left side of the chamber now, in kilopascals?

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Physics for Scientists and Engineers with Modern Physics

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