Initially a gas of diatomic molecules is contained in a cylinder of volume V at a pressure P and temperature 250 K. Assuming that 25% of the molecules get dissociated causing a change in number of moles. The pressure of the resulting gas at temperature 2000 K, when contained in a volume 2V, is given by P,. The ratio P/P, is

Initially a gas of diatomic molecules is contained in a cylinder of volume V at a pressure P and temperature 250 K. Assuming that 25% of the molecules get dissociated causing a change in number of moles. The pressure of the resulting gas at temperature 2000 K, when contained in a volume 2V, is given by P,. The ratio P/P, is

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter3: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 35P: Two monatomic ideal gases A and B are at the same temperature. If 1.0 g of gas A has the same...

See similar textbooks

Similar questions

One process for decaffeinating coffee uses carbon dioxide ( M=44.0 g/mol) at a molar density of about 14,0 mol/m3 and a temperature of about 60 . (a) Is CO2 a solid, liquid, gas, or supercritical fluid under those conditions? (b) The van der Waals constants for carbon dioxide are a=0.3658 Pa m6/mol2 and b=4.286105 m3/mol. Using the van der Waals equation, estimate pressure of CO2 at that temperature and density. `
Using the method of the preceding problem, estimate the fraction of nitric oxide (NO) molecules at a temperature of 250 K that have energies between 3.451021 J and 3.501021 J. `
Find the ratio f(vp)/f(vrms) for hydrogen gas ( M=2.02 g/mol) at a temperature of 77.0 K.
Two monatomic ideal gases A and B are at the same temperature. If 1.0 g of gas A has the same internal energy as 0.10 g of gas B, what are (a) the ratio of the number of moles of each gas and (b) the ration of the atomic masses of the two gases?
In this problem you are to consider an adiabaticexpansion of an ideal diatomic gas, which means that the gas expands with no addition or subtraction of heat. Assume that the gas is initially at pressure p0, volume V0, and temperature T0. In addition, assume that the temperature of the gas is such that you can neglect vibrational degrees of freedom. Thus, the ratio of heat capacities is γ=Cp/CV=7/5. Note that, unless explicitly stated, the variable γshould not appear in your answers--if needed use the fact that γ=7/5 for an ideal diatomic gas. Find an analytic expression for p(V), the pressure as a function of volume, during the adiabatic expansion. Express the pressure in terms of V and any or all of the given initial values p0, T0, and V0. p(V) = __________
In this problem you are to consider an adiabaticexpansion of an ideal diatomic gas, which means that the gas expands with no addition or subtraction of heat. Assume that the gas is initially at pressure p0, volume V0, and temperature T0. In addition, assume that the temperature of the gas is such that you can neglect vibrational degrees of freedom. Thus, the ratio of heat capacities is γ=Cp/CV=7/5. Note that, unless explicitly stated, the variable γshould not appear in your answers--if needed use the fact that γ=7/5 for an ideal diatomic gas. A) Find an analytic expression for p(V), the pressure as a function of volume, during the adiabatic expansion. Express the pressure in terms of V and any or all of the given initial values p0, T0, and V0. p(V) = __________ B) At the end of the adiabatic expansion, the gas fills a new volume V1, where V1>V0. Find W, the work done by the gas on the container during the expansion. Express the work in terms of p0, V0, and V1. Your…
The molar specific heat of a gas is measured at constant volume and found to be 11R/2. Is the gas most likely to be (a) monatomic, (b) diatomic, or (c) polyatomic?
The molar specific heat of a gas is measured at constant volume and found to be 11R/2.Show that whether the gas is most likely to be polyatomic, diatomic, or monoatomic.
A 1.00 mol sample of an ideal diatomic gas, originally at 1.00 atm and 20 oC, expands adiabatically to 1.75 times its initial volume. What are the final pressure and temperature for the gas? ( Assume no molecular vibration)
2 moles of diatomic gas has a constant volume of 2.0 L and a temperature of 2000 K. Ifthe temperature of the gas raised to 2800 K, find the thermal energy absorbed by thegas.
In an experiment, the temperature of a hot gas stream is to be measured by a thermocouple with a spherical junction. Due to the nature of this experiment, the response time of the thermocouple to register 99 percent of the initial temperature difference must be within 5 s. The properties of the thermocouple junction are k = 35 W/m·K, r = 8500 kg/m3, and cp = 320 J/kg·K. If the heat transfer coefficient between the thermocouple junction and the gas is 250 W/m2·K, determine the diameter of the junction.
One mole of the ideal gas is initially at 3 atmand 6 L. As the gas is slowly heated, theplot of its state on a P V diagram moves in astraight line to the state 7 atm and 7 L.Find the work done by the gas.Answer in units of kJ.