14. GO Four closed tanks, A, B, C, and D, each contain an ideal gas. Thetable gives the absolute pressure and volume of the gas in each tank. Ineach case, there is 0.10 mol of gas. Using this number and the data in thetable, compute the temperature of the gas in each tank.ABCDAbsolute pressure (Pa)Volume (m³)25.030.020.02.04.05.05.075

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University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

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Chapter2: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 34P: (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?...

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(a) Show that the density of an ideal gas occupying a volume V is given by = PM/KT, where M is the molar mass. (b) Determine the density of oxygen gas at atmospheric pressure and 20.0C.
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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.
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A mole of an ideal gas sealed in cylinder is isothermally expanded to five times to its original volume (1 m3) at a temperature of 290 K by slowly transferring heat into the gas. (n = 0.1 mole). What is the initial and final pressure of the gas? How much heat is transferred into the gas?
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Expand 1.00 mol of an monatomic gas initially at 5.00 kPaand 600 K from initial volume Vi = 1.00 m3 to final volume Vf =2.00 m3. At any instant during the expansion, the pressure p and volumeV of the gas are related by p = 5.00 exp[(Vi - V)/a], with p inkilopascals, Vi and V in cubic meters, and a = 1.00 m3.What are thefinal (a) pressure and (b) temperature of the gas? (c) How muchwork is done by the gas during the expansion? (d) What is S for theexpansion? (Hint: Use two simple reversible processes to find S.)
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