Homework 6 Problem 6: A rigid tank of volume V = 0.015 m3 contains carbon monoxide at a temperature of T0 = 21° C and a pressure of P0 = 9.00 × 105 Pa. This molecule should be treated as a diatomic ideal gas with active vibrational modes. Part (a) Calculate the pressure of the gas in pascal at this increased temperature. P = ______ Part (b) Calculate the change to the internal energy of the gas in joules. ΔU = ______ Part (c) Calculate the change in the entropy of the gas in joules per kelvin. ΔS = ______

Homework 6 Problem 6: A rigid tank of volume V = 0.015 m3 contains carbon monoxide at a temperature of T0 = 21° C and a pressure of P0 = 9.00 × 105 Pa. This molecule should be treated as a diatomic ideal gas with active vibrational modes. Part (a) Calculate the pressure of the gas in pascal at this increased temperature. P = Part (b) Calculate the change to the internal energy of the gas in joules. ΔU = Part (c) Calculate the change in the entropy of the gas in joules per kelvin. ΔS = __

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter20: Kinetic Theory Of Gases

Section: Chapter Questions

Problem 36PQ

See similar textbooks

Similar questions

An ideal gas is contained in a vessel at 300 K. The temperature of the gas is then increased to 900 K. (i) By what factor does the average kinetic energy of the molecules change, (a) a factor of 9, (b) a factor of 3, (c) a factor of 3, (d) a factor of 1, or (e) a factor of 13? Using the same choices as in part (i), by what factor does each of the following change: (ii) the rms molecular speed of the molecules, (iii) the average momentum change that one molecule undergoes in a collision with one particular wall, (iv) the rate of collisions of molecules with walls, and (v) the pressure of the gas?
How many moles are there in (a) 0.0500 g of N2 gas (M = 28.0 g/mol)? (b) 10.0 g of CO2 gas (M = 44.0 g/mol)? (c) How many molecules are present in each case?
In the text, it was shown that N/V=2.681025m3 for gas at STP. (a) Show that this quantity is equivalent to N/V=2.681019cm3, as stated. (b) About how many atoms are mere in one m3 (a cubic micrometer) at STP? (c) What does your answer to part (b) imply about the separation of Mama and molecules?
A rigid tank of volume V = 0.02 m3 contains carbon monoxide at a temperature of T0 = 25° C and a pressure of P0 = 9.00 × 105 Pa. This molecule should be treated as a diatomic ideal gas with active vibrational modes. a)The temperature of the gas increases by 10° C. Calculate the pressure of the gas in pascal at this increased temperature. b)Calculate the change to the internal energy of the gas in joules. c)Calculate the change in the entropy of the gas in joules per kelvin.
Helium atoms have a mass of 4u and oxygen molecules have a mass of 32u, where u is defined as an atomic mass unit (u=1.660540×10−27 kg). Compare a gas of helium atoms to a gas of oxygen molecules. Part A: At what gas temperature TE would the average translational kinetic energy of a helium atom be equal to that of an oxygen molecule in a gas of temperature 300 K? Part B: At what gas temperature Trms would the root-mean-square (rms) speed of a helium atom be equal to that of an oxygen molecule in a gas at 300 K?
Two containers hold ideal gases at the same temperature.Container A has twice the volume and half the number of molecules as container B. What is the ratio PA>PB, where PA is the pressure in container A and PB is the pressure in container B?
Part A Calculate the specific heat capacity at constant volume of water vapor, assuming the nonlinear triatomic molecule has three translational and three rotational degrees of freedom and that vibrational motion does not contribute. The molar mass of water is 18.0 g/mol. Express your answer in J/(kg. K). CV = Submit Part B Cv = 15| ΑΣΦ Submit Request Answer The actual specific heat capacity of water vapor at low pressures is about 2000 J/(kg. K). Calculate the molar heat capacity for actual water vapor. Express your answer in J/(kg. K). VE ΑΣΦ ? Request Answer J/(kg. K) J/(kg. K)
Four tanks A, B, C, and D are filled with monatomic ideal gases. For each tank, the mass of an individual atom and the rms speed of the atoms are expressed in terms of m and vmax respectively (see the table). Suppose that m = 1.83 x 1026 kg, and vrms = 950 m/s. %3D Find the temperature of the gas in each tank. Mass m m 2m 2m Rms speed Vmax 2vmax Vmax 2vmax (a) TA= i (b) TB= i (c) Tc =i (d) Tp =
The number density in a container of neon gas is 5.40 x 1025 m³. The atoms are moving with an rms speed of 665 m/s. What is the pressure inside the container? Express your answer with the appropriate units. ► View Available Hint(s) p= Submit Part B Value T = μA Submit What is the temperature inside the container? Express your answer with the appropriate units. ► View Available Hint(s) μÀ Value Units 6 B Units ? px ?
A cylinder of nitrogen and a cylinder of neon are at the same temperature and pressure. The mean free path of a nitrogen molecule is 160 nm. What is the mean free path of a neon atom? Express your answer with the appropriate units. XNe = Submit μA Value Units Previous Answers Request Answer ?
Two containers of equal volume each hold samples of the same ideal gas. Container A has 3 times as many molecules as container B. If the gas pressure is the same in the two containers, find the ratio of the the absolute temperatures TA and TB ( i.e TA / TB ) . Calculate to 2 decimals.
A gas bottle contains 4.64×10²³ Hydrogen molecules at a temperature of 384.0 K. What is the thermal energy of the gas? (You might need to know Boltzmann's constant: kg = 1.38×10-23 J/K.) Submit Answer Tries 0/12 How much energy is stored in ONE degree of freedom for the whole system? Tries 0/12 What is the average energy of a single molecule? Submit Answer Tries 0/12 On average how much energy is stored by ONE degree of freedom for ONE single molecule? Submit Answer Tries 0/12 Submit Answer