Part A Consider a monatomic gas of particles each with mass m. What is Vrms Express your answer in terms of T, kB, m, and other given quantities. ▶ View Available Hint(s) Vzrms Submit Part B Urmes Submit Part C Now consider the same system: a monatomic gas of particles of mass m, except in three dimensions. Find Urms, the rms speed if the gas is at an absolute temperature T Express your answer in terms of T, kB, m, and other given quantities. ▸ View Available Hint(s) 20 = [IV] ΑΣΦ ✓(2²) = Submit [5] ΑΣΦ ^ 6 Request Answer [www] What is the rms speed of molecules in air at 0°C? Air is composed mostly of N₂ molecules, so you may assume that it has molecules of average mass 28.0 x 1.661 × 10-27 kg = Express your answer in meters per second, to the nearest integer. |||| ΑΣΦ www ? [w] ? m/s V (v2), the root mean square (rms) of the x component of velocity of the gas particles if the gas is at an absolute temperature T? ? 4.65 x 10-26 kg. Activate Windo Go to Settings to act

Part A Consider a monatomic gas of particles each with mass m. What is Vrms Express your answer in terms of T, kB, m, and other given quantities. ▶ View Available Hint(s) Vzrms Submit Part B Urmes Submit Part C Now consider the same system: a monatomic gas of particles of mass m, except in three dimensions. Find Urms, the rms speed if the gas is at an absolute temperature T Express your answer in terms of T, kB, m, and other given quantities. ▸ View Available Hint(s) 20 = [IV] ΑΣΦ ✓(2²) = Submit [5] ΑΣΦ ^ 6 Request Answer [www] What is the rms speed of molecules in air at 0°C? Air is composed mostly of N₂ molecules, so you may assume that it has molecules of average mass 28.0 x 1.661 × 10-27 kg = Express your answer in meters per second, to the nearest integer. |||| ΑΣΦ www ? [w] ? m/s V (v2), the root mean square (rms) of the x component of velocity of the gas particles if the gas is at an absolute temperature T? ? 4.65 x 10-26 kg. Activate Windo Go to Settings to act

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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I just need help with part D Problem 6: There are lots of examples of ideal gases in the universe, and they exist in many different conditions. In this problem we will examine what the temperature of these various phenomena are. Part (a) Give an expression for the temperature of an ideal gas in terms of pressure P, particle density per unit volume ρ, and fundamental constants. Answer: T = P/( ρ kB ) Part (b) Near the surface of Venus, its atmosphere has a pressure fv= 96 times the pressure of Earth's atmosphere, and a particle density of around ρv = 0.92 × 1027 m-3. What is the temperature of Venus' atmosphere (in C) near the surface? Answer: Tv = 490.55 Part (c) The Orion nebula is one of the brightest diffuse nebulae in the sky (look for it in the winter, just below the three bright stars in Orion's belt). It is a very complicated mess of gas, dust, young star systems, and brown dwarfs, but let's estimate its temperature if we assume it is a uniform ideal gas. Assume it is a…
4.0 moles of krypton gas are in a 0.20 m3 container. The pressure is 1.663 × 105 Pa. a. What is the temperature (to the nearest K)? The volume contracts to 0.10 m3. The pressure is held constant. b. How much work was done by the gas during the volume contraction? c. What is the temperature after the volume contraction (to the nearest K)? d. What was the change in thermal energy? e. What was the heat flow? Express in units of J, positive = into gas, negative = out of gas.
R Review I Constants Part A A container holds 1.0 g of argon at a pressure of 8.0 atm. How much heat is required to increase the temperature by 100° C at constant volume? Express your answer with the appropriate units. H HẢ Q = Value Units %3D Submit Request Answer Part B How much will the temperature increase if this amount of heat energy is transferred to the gas at constant pressure? Express your answer in kelvins. ΑΣφ K AT =
a.) An ideal gas is in a sealed container. By what factor does the gas temperature change if the volume is halved and the pressure is tripled? b.) An ideal gas is in a sealed container. By what factor does the gas temperature change if the volume is doubled and the pressure is tripled? c.) If you have two jars containing the same amount, n1=n2, and type of gas (for example, oxygen) and they are at the same temperature, T, what can you say about their pressure if the first jar has four times the volume of the second, V1 = 4V2? Hint: use pV=nRT
A 22-cm-diameter vertical cylinder is sealed at the top by a frictionless 16 kg piston. The piston is 79 cm above the bottom when the gas temperature is 303° C. The air above the piston is at 1.00 atm pressure. Part A What is the gas pressure inside the cylinder? Express your answer with the appropriate units. ► View Available Hint(s) Po = Submit Part B μÀ Value Units ? What will the height of the piston be if the temperature is lowered to 13°C? Express your answer with the appropriate units.
The temperature of an ideal monatomic gas is increased from 25C to 50C. Does the average translational kinetic energy of each gas atom double? Explain. If your answer is no, what would the final temperature be if the average translational kinetic energy was doubled?
For a planet to have an atmosphere, gravity must be sufficient to keep the gas from escaping The escape speed a particle needs to escape the earth's gravitational attraction is 1.1 x 10 m/s. The motion of projectiles never depends on mass, so this escape speed applies equally to rockets and to molecules in the earth's upper atmosphere. Part A At what temperature does the rms speed of nitrogen molecules equal the escape speed? Express your answer in kelvins. ΜΕ ΑΣΦΑ T- Submit Part B T- Request An At what temperature does the mms speed of hydrogen molecules equal the escape speed? Express your answer in kelvins. VAZO Submit ? K K
Learning Goal: To understand the ideal gas law and be able to apply it to a wide variety of situations. The absolute temperature T, volume V, and pressure p of a gas sample are related by the ideal gas law, which states that PV = nRT Here n is the number of moles in the gas sample and R is a gas constant that applies to all gases. This empirical law describes gases well only if they are sufficiently dilute and at a sufficiently high temperature that they are not on the verge of condensing. In applying the ideal gas law, p must be the absolute pressure, measured with respect to vacuum and not with respect to atmospheric pressure, and I must be the absolute temperature, measured in kelvins (that is, with respect to absolute zero, defined throughout this tutorial as -273°C). If p is in pascals and V is in cubic meters, use R = 8.3145 J/(mol · K). If p is in atmospheres and V is in liters, use R = 0.08206 L atm/(mol-K) instead. Part A A gas sample enclosed in a rigid metal container at…
Part C Some hydrogen gas is enclosed within a chamber being held at 200°C with a volume of 0.0250 m³. The chamber is fitted with a movable piston. Initially, the pressure in the gas is 1.50 × 106 Pa (14.8 atm). The piston is slowly extracted until the pressure in the gas falls to 0.950 x 106 Pa. What is the final volume V₂ of the container? Assume that no gas escapes and that the temperature remains at 200°C. Enter your answer numerically in cubic meters. ► View Available Hint(s) V₂ = Submit [5] ΑΣΦ ? m³
A diver observes a bubble of air rising from the bottom of a lake (where the absolute pressure is 3.50 atm) to the surface (where the pressure is 1.00 atm). The temperature at the bottom is 4.0°C, and the temperature at the surface is 23.0°C. Part A What is the ratio of the volume of the bubble as it reaches the surface to its volume at the bottom? Enter your answer numerically. VE ΑΣΦ V2 V₁ Submit Part B Request Answer Would it be safe for the diver to hold his breath while ascending from the bottom of the lake to the surface? Submit No. This increase in volume of air in the lungs would be dangerous. Yes. This increase in volume of air in the lungs is safe enough for human body. Provide Feedback ? Request Answer
a A Geiger-Mueller tube is a radiation detector that consists of a closed, hollow, metal cylinder (the cathode) of inner radius r and a coaxial cylindrical wire (the anode) of radius rb (see figure below) with a gas filling the space between the electrodes. Assume that the internal diameter of a Geiger-Mueller tube is 3.05 cm and that the wire along the axis has a diameter of 0.195 mm. The dielectric strength of the gas between the central wire and the cylinder is 1.15 x 106 V/m. Use the equation 2πrle in to calculate the maximum potential difference that can be applied between the wire and EO the cylinder before breakdown occurs in the gas. Cathode Anode =
0.0042 mol of gas undergoes the process shown in (Figure 1). You may want to review (Pages 503 - 508). igure p (atm) 3 2 1 0- 0 100 2 200 300 1 of 1 V (cm³) Part B What is the initial temperature in °C? Express your answer using two significant figures. T₁ = Submit Part C Tf = What is the final temperature in °C? Express your answer using two significant figures. Submit VG ΑΣΦ Provide Feedback Request Answer ΑΣΦ Request Answer ? 11? °C