PHY 215 Study Guide - Final Guide: Bulk Modulus, Particle Number, Chemical Potential

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21 Jul 2019

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What is the rms velocity of an ideal monatomic gas given temperature t, mass m, and particle number n? v_rms = sqrt[3 k t/m] What is the speed of a sound wave in gas given bulk modulus (stiffness) k and density c = sqrt[k/ ] What is the speed of a sound wave in gas given c_p, c_v, pressure p, and density ? c = sqrt[(c_ p p)/(c_v )] What is the speed of a sound wave in gas given c_v, c_p, temperature t, and particle mass m? c = sqrt[(c_ p k t)/(c_v m)] The average number of particles occupying a single-particle state at a particular energy. F[e_i] = 1 / (e^(e_i - ) + 1) F[e_i] = 1 / (e^(e_i - ) - 1) A volume of gas is expanded to twice it"s volume. Adiabatic because it"s p-v curve slopes downward steeper, resulting in a lower area under the curve (w)

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A moth of length 1.0 cm is flying about 1.0 m from a bat when the bat emits a sound wave at 80.0 kHz. The temperature of the air is about 10.0∘C. To sense the presence of the moth using echolocation, the bat must emit a sound with a wavelength equal to or less than the length of the insect. The speed of sound that propagates in an ideal gas is given by v= sqrt (γRTM), where γ is the ratio of heat capacities (γ=1.4 for air), T is the absolute temperature in kelvins (which is equal to the Celsius temperature plus 273.15∘C), M is the molar mass of the gas (for air, the average molar mass is M=28.8×10−3kg/mol), and R is the universal gas constant (R=8.314J⋅mol−1⋅K−1).

Find the wavelength λ of the 80.0-kHz wave emitted by the bat.

Express your answer in millimeters.

How long after the bat emits the wave will it hear the echo from the moth?

Express your answer in milliseconds to two significant figures.

viridianchinchilla179

A magnetic field of 0.1T forces a proton beam of 1.5 mA to move ina circle of radius 0.1 m. The plane of the circle is perpendicularto the magnetic field.

47. Of the following, which is the best estimate of the speed of aproton in the beam as it moves in the circle?
(A) 10-2 m/s (B) 103 m/s (C) 106 m/s (D) 108 m/s (E) 1015 m/s

52. An ideal gas is initially in a state that corresponds to point1 on the graph above, where it has presÂ¬sure p1, volume V1, andtemperature T1. The gas undergoes an isothermal process representedby the curve shown, which takes it to a final state 3 attemperature T3. If T2 and T4 are the temperaÂ¬tures the gas wouldhave at points 2 and 4, respecÂ¬tively, which of the followingrelationships is true?
(A) T1 < T3 (B) T1 < T2 (C) T1 < T4 (D) T1 = T2 (E) T1 =T4

53. The absolute temperature of a sample of monatomic ideal gas isdoubled at constant volume. What effect, if any, does this have onthe pressure and density of the sample of gas?
Pressure Density
(A) Remains the same Remains the same
(B) Remains the same Doubles
(C) Doubles Remains the same
(D) Doubles Is multiplied by a factor of 4
(E) Is multiplied by a factor of 4 Doubles

62. A sample of an ideal gas is in a tank of constant volume. Thesample absorbs heat energy so that its temperature changes from 300K to 600 K. If v1 is the average speed of the gas molecules beforethe absorption of heat and v2 is their average speed after theabsorption of heat, what is the ratio v2/ v1 ?
(A) 1/2 (B) 1 (C) (D) 2 (E) 4

63. Two people of unequal mass are initially standing still on icewith negligible friction. They then simulÂ¬taneously push each otherhorizontally. Afterward, which of the following is true?
(A) The kinetic energies of the two people are equal.
(B) The speeds of the two people are equal.
(C) The momenta of the two people are of equal magnitude.
(D) The center of mass of the two person system moves in thedirection of the less massive person.
(E) The less massive person has a smaller initial acceleration thanthe more massive person.

64. Two parallel conducting plates, separated by a distance d, areconnected to a battery of emf e. Which of the following is correctif the plate separaÂ¬tion is doubled while the battery remainsconnected?
(A) The electric charge on the plates is doubled.
(B) The electric charge on the plates is halved.
(C) The potential difference between the plates is doubled.
(D) The potential difference between the plates is halved
(E) The capacitance is unchanged.

68. A rod on a horizontal tabletop is pivoted at one end and isfree to rotate without friction about a vertical axis, as shownabove. A force F is applied at the other end, at an angle ? to therod. If F were to be applied perpendicular to the rod, at whatdistance from the axis should it be applied in order to proÂ¬ducethe same torque?
(A) L sin ? (B) L cos ? (C) L (D) L tan ? (E) L

70. A 4 ÂµF capacitor is charged to a potential differÂ¬ence of 100V. The electrical energy stored in the capacitor is
(A) 2 x 10-10 J (B) 2 x 10 8 J (C) 2 x 10 6 J (D) 2x 10-4 J (E) 2 x10-2 J

PHY 215 Study Guide - Final Guide: Bulk Modulus, Particle Number, Chemical Potential

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