6. [-/1 Points] DETAILS SERPSE9 21.P.013.MI.FB. MY NOTES ASK YOUR TEA In a period of 9.00 s, 5.00 x 1023 nitrogen molecules strike a wall of area 6.40 cm2. Assume the molecules move with a speed of 400 m/s and strike the wall head-on in elastic collisions. What is the pressure exerted on the wall? Note: The mass of one N, molecule is 4.65 x 10-26 kg. kPa Need Help? Master It Additional Materials O eBook 7. [-/3 Points] DETAILS SERPSE9 21.P.012. ASK YOUR TEA MY NOTES A 6.55-L vessel contains 4.20 moles of gas at a pressure of 1.60 x 106 Pa. (a) Find the temperature of the gas. K (b) Find the average kinetic energy of the gas molecules in the vessel. (c) What additional information would you need if you were asked to find the average speed of the gas molecules? O the dimensions of the vessel the molecular mass of the gas O the change in temperature after a very long time O No other additional information is needed. Additional Materials D eBook • Locations

6. [-/1 Points] DETAILS SERPSE9 21.P.013.MI.FB. MY NOTES ASK YOUR TEA In a period of 9.00 s, 5.00 x 1023 nitrogen molecules strike a wall of area 6.40 cm2. Assume the molecules move with a speed of 400 m/s and strike the wall head-on in elastic collisions. What is the pressure exerted on the wall? Note: The mass of one N, molecule is 4.65 x 10-26 kg. kPa Need Help? Master It Additional Materials O eBook 7. [-/3 Points] DETAILS SERPSE9 21.P.012. ASK YOUR TEA MY NOTES A 6.55-L vessel contains 4.20 moles of gas at a pressure of 1.60 x 106 Pa. (a) Find the temperature of the gas. K (b) Find the average kinetic energy of the gas molecules in the vessel. (c) What additional information would you need if you were asked to find the average speed of the gas molecules? O the dimensions of the vessel the molecular mass of the gas O the change in temperature after a very long time O No other additional information is needed. Additional Materials D eBook • Locations

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

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 21.9OQ: Which of the assumptions below is not made in the kinetic theory of gases? (a) The number of...

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A metallic container of fixed volume of 2.5103 m3 immersed in a large tank of temperature 27 contains two compartments separated by a freely movable wall. Initially, the wall is kept in place by a stopper so that there are 0.02 mol of the nitrogen gas on one side and 0.03 mol of the oxygen gas on the other side, each occupying half the volume. When the stopper is removed, the wall moves and comes to a final position. The movement of the wall is controlled so that the wall moves in infinitesimal quasi-static steps. (a) Find the final volumes of the two sides assuming the ideal gas behavior for the two gases. (b) How much work does each gas do on the other? (c) What is the change in the internal energy of each gas? (d) Find the amount of heat that enters or leaves each gas.
Two small containers, each with a volume of 1.00 102cm3, contain helium gas at 0C and 1.00 atm pressure. The two containers are joined by a small open tube of negligible volume, allowing gas to flow from one container to the other. What common pressure will exist in the two containers if the temperature of one container is raised to 1.00 102 C while the other container is kept at 0C?
Which of the assumptions below is not made in the kinetic theory of gases? (a) The number of molecules is very large. (b) The molecules obey Newtons laws of motion. (c) The forces between molecules are long range. (d) The gas is a pure substance. (e) The average separation between molecules is large compared to their dimensions. (f) of (his account are correct statements necessary for a clear and complete explanation? (ii) Which are correct statements that are not necessary to account for the higher thermometer reading? (iii) Which are incorrect statements?
(a) Given that air is 21% oxygen, find the minimum atmospheric pressure that gives a relatively safe partial pressure of oxygen of 0.16 atm. (b) What is the minimum pressure that gives a partial pressure of oxygen above the quickly fatal level of 0.06 atm? (c) The air pressure at the summit of Mount Everest (8848 m) is 0.334 atm. Why have a few people climbed it without oxygen, while some who have tried, even though they had trained at high elevation, had to tum back?
A deepsea diver should breathe a gas mixture that has the same oxygen partial pressure as at sea level, where dry air contains 20.9% oxygen and has a total pressure of 1.01105N/m2. (a) What is me partial pressure of oxygen at sea level? (b) If the diver breathes a gas mixture at a pressure of 2.00106N/m2, what percent oxygen should it be to have the same oxygen partial pressure as at sea level?
(a) People often think of humid air as "heavy." Compare the densities of air with 0% relative humidity and 100% relative humidity when both are at 1 atm and 30 . Assume that the dry air is an ideal gas composed of molecules with a molar mass of 29.0 g/mol and the moist air is the same gas mixed with water vapor. (b) As discussed in the chapter on the applications of Newton's laws, the air resistance felt by projectiles such as baseballs and golf balls is approximately FD=CpAv2/2 , where p is the mass density of the air, A is the cross-sectional area of the projectile, and C is the projectile's drag coefficient. For a fixed air pressure, describe qualitatively how the range of a projectile changes with the relative humidity. (c) When a thunderstorm is coming, usually the humidity is high and the air pressure is low. Do those conditions give an advantage or disadvantage to home-run hitters?
(a) What is the gauge pressure in a 25.0 cc car tire containing 3.60 mol of gas in a 30.0-L volume? (b) What will its gauge pressure be if you add 1.00 L of gas originally at atmospheric pressure and 25.0 ? Assume the temperature remains at 25.0 cc and the volume remains constant.
(II) If the pressure in a gas is tripled while its volume isheld constant, by what factor does vrmschange?
(II) A storage tank contains 21.6 kg of nitrogen(N2) at anabsolute pressure of 3.45 atm. What will the pressure be ifthe nitrogen is replaced by an equal mass o CO2 at the sametemperature?
2. If the pressure exerted by a gas at 77 °F in a volume of 1L is 5 atm, how many moles of gas are present?
4. A high-vacuum system in a physics research lab can achieve a pressure as low at 1.00×10−7N/m2at 20.0◦C. How many molecules are there in a cubic centimeter at this pressureand temperature?
1. A three-liter tank contains two gram-moles of nitrogen at − 150.8o C. Estimate the tank pressure using the ideal gas equation of state and then using the Virialequation of state truncated after the second term. Taking the second estimate to be correct, calculate the percentage error that results from the use of the ideal gas equation at the system conditions. Data for nitrogen: Tc = 126.2 K, pc = 33.5 atm, and ω = 0.04012. 2. One mole of propane gas is to be expanded from 0.001 m3 to 0.040 m3 while incontact with a heating bath at 100o C. The expansion is not reversible. The heatextract from the bath is 600 J. Determine the work for the expansion using theVan der Waals equation of state.