Unless otherwise specified, when a fraction is given for a gas, it is assumed that it refers to a mole percentage or a mole ratio. When a fraction is given for a liquid or a solid, it is assumed that it refers to a mass percentage or mass ratio. Absolute temperature scales have their zero-point corresponding to the melting point of water at atmospheric pressure. • The formula that relates the pressure difference P1 – P2 to the difference in manometer fluid levels is based on the principle that the fluid pressure must be the same at any two points at the same height in a continuous fluid; that is, the pressure at the height of the higher surface of a manometer fluid is the same in both arms of the manometer. The ratio of the numerator and denominator of a conversion factor is equal to unity.

Unless otherwise specified, when a fraction is given for a gas, it is assumed that it refers to a mole percentage or a mole ratio. When a fraction is given for a liquid or a solid, it is assumed that it refers to a mass percentage or mass ratio. Absolute temperature scales have their zero-point corresponding to the melting point of water at atmospheric pressure. • The formula that relates the pressure difference P1 – P2 to the difference in manometer fluid levels is based on the principle that the fluid pressure must be the same at any two points at the same height in a continuous fluid; that is, the pressure at the height of the higher surface of a manometer fluid is the same in both arms of the manometer. The ratio of the numerator and denominator of a conversion factor is equal to unity.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter2: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 70P: Using a numerical integration method such as Simpson's rule, find the fraction of molecules in a...

See similar textbooks

Similar questions

Assuming the human body is primarily made of water, estimate the number of molecules in it. (Note that water has a molecular mass of 18 g/mol and there are roughly 1024 atoms in a mole)
What is the total translational kinetic energy of the air molecules in a room of volume 23 m3 if the pressure is 9.5104 Pa (the room is at fairly high elevation) and die temperature is 21 ? Is any item of data unnecessary for the solution?
If one kind of molecule has double the radius of another and eight times the mass, how do their mean free paths under the same conditions compare? How do their mean free times compare?
An important design consideration in two-phase pipe flow of solid-liquid mixtures is the terminal settling velocity below, which the flow becomes unstable and eventually the pipe becomes clogged. On the basis of extended transportation tests, the terminal settling velocity of a solid particle in the rest water given by VL = FL√2gD(S − 1), where FL is an experimental coefficient, g the gravitational acceleration, D the pipe diameter, and S the specific gravity of solid particle. What is the dimension of FL? Is this equation dimensionally homogeneous?
Do you anticipate that the diffusion constant will increaseas the temperature of a liquid increases at constant pressure? Why or why not? Will the diffusion constant increasewith temperature for a gas and a solid? Explain.
The gas law for an ideal gas at absolute temperature T(in kelvins), pressure P (in atmospheres), and volume V(in liters) is PV=nRT, where is the number of moles ofthe gas R =0.0821 and is the gas constant. Suppose that,at a certain instant P=8.0, atm and is increasing at a rateof 0.10 atm/min and V=10L and is decreasing at a rateof 0.15 L/min. Find the rate of change of T with respect totime at that instant if n=10 mol.
Consider a symmetrical U-shaped tube, of circular section and internal diameter d<<R, containing an incompressible liquid of density ρ. Before starting the rotation of the system, the system is in equilibrium, where the rotating branch has an initial height of fluid equal to L, while at the other end of the tube there is a chamber of height h and filled with a gas at initial pressure P0. The top cap of the chamber is attached to the tube. However, the bottom cap can be moved vertically acting as a “piston”, as shown in the diagram. Both the mass of the lower lid and that of the gas contained in the chamber are negligible.Suddenly the tube begins to rotate at constant angular velocity ω. About: For the initial instant find a relationship between the pressure P0 of the gas, the height h, the properties fluid physics and Patm.
The piston shown in the figure is held in equilibrium by 210 kPa pressure of gas at flowing at III. Given the diameters for the piston as shown, with PI = 350 kPa, and PII = 130 kPa. Determine (a) the cross-section at I, II & III in m2 (b) the weight and mass of the piston in N and in kg respectively, considering that the contacting surfaces are frictionless.
The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV = nRT, where n is the number of moles of the gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant, P = 7.0 atm and is increasing at a rate of 0.15 atm/min and V = 13 and is decreasing at a rate of 0.17 L/min. Find the rate of change of T with respect to time (in K/min) at that instant if n = 10 mol.(Round your answer to four decimal places.)
The concentration of a frictionless fluid flowing through a channel is measured with a diffusion constant, D = 4.5E-3 m2/s at room temperature. The radius and length of the channel are given as r = 9.2E-2 m and 2.2 m, respectively. Hint: (KB = 1.3806E-23 m2.kg.s-2.K-1, T = 273 K).(a) Calculate the gradient of concentration of the fluid given the initial and final concentrations as C1 = 70 kg/m3 and C2 = 22 kg/m3, respectively.(b) Estimate the coefficient of viscosity of blood
What is the physical significance of the Biot number? Is the Biot number more likely to be larger for highly conducting solids or poorly conducting ones?
A gas flows through a square conduit. At one point along the conduit, the conduit sides are 0.100 m. the velocity it 7.55 m/s, and the gas's mass density is (for its particular pressure and temperature) 1.09 kg/m3. At a second point, the conduit sides are 0.250 m, and the velocity is 2.02 m/s. Find the mass flow rate of the gas and its mass density at the second point.