The mean free path λ of a molecule of gas is the average distance it travels before collision with another molecule. It is given by
where m and d are the molecule’s mass and diameter, respectively, and ρ is the gas density. What are the dimensions of constant C for a dimensionally consistent equation?
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Additional Engineering Textbook Solutions
Management Information Systems: Managing The Digital Firm (16th Edition)
Modern Database Management
Starting Out With Visual Basic (8th Edition)
Vector Mechanics for Engineers: Statics and Dynamics
Starting Out with Python (4th Edition)
Java How to Program, Early Objects (11th Edition) (Deitel: How to Program)
- The equation of state of an ideal gas describes the relationship between its pressure p, volume V, and temperature T as: PV = nRT where n is the amount of substance of gas (number of moles), and R is the ideal gas constant. What are the dimensions of R?arrow_forwardThe modulus k of a coil spring (force required to stretch the spring a unit distance) can be expressed in equation form as k=(Gr^4)/(4R^3n) in which r and R are lengths and n is a dimensionless number. Determine the dimensions of G (a property of the spring material) .arrow_forward22 A partially submerged body is towed in water. The resistance R to its motion depends on the density p, the viscosity of water, length 1 of the body, velocity V of the body and acceleration due to gravity. Show that the resistance to motion can be expressed in the form R = P²²V² + [(HV) (1) TVarrow_forward
- Glycerol is a syrupy liquid used in cosmetics and soaps. A 3.25-L sample of pure glycerol has a mass of 4.10x10^3 g. What is the density of glycerol in g/cm^3?arrow_forwardMechanical EngineeringFluid Mechanicsarrow_forwardLet's say that the semiempirical binding energy formula is Eb= aA-bA^2/3 - s(N-Z)^2/A -dZ^2/A^1/3 where a,b,s,d are constants. Imagine that you are in a different universe where there are 3 types of nucleons with spin equal to 1/2 and electric charges equal to +1, -1 and 0. Mass similar to that of a proton. Forces are similar to those of our universe. i) How do equations change for A and Z as a function of N+, N-, No and what is the semiempirical equation for the binding energy as a function of A, Z, and No? ii) At what Z and No do we have the maximum and minimum binding energy for every A? iii) When do we have stable nuclei under beta (β) decay? If "alpha particle" in this situation has N+ = N- = No = 2, what does apply for alpha (α) decay? iv) What does apply for nuclear fission and finally, how would life be in this situation?arrow_forward
- I need help figuring out this question, I'm at a loss (step by step helps too):arrow_forwardThe "standard" acceleration (at sea level and 45° latitude) due to gravity is 32.2 ft/s². What force is needed to hold a mass of 8.0 kg at rest in this gravitational field? [express your answer in SI unit with two decimal places]arrow_forwardPravinbhaiarrow_forward
- Particles C and D are moving in the positive x-direction, with A behind B initially. Particle A has speed 20 m/S and mass 1 g whilst B has speed 12 m/s and mass 3 g. At some time later the particles coalesce. If momentum is conserved, what is the loss in KE? (A) There is a gain in KE of 24 ] (B) 24] (C) 01 since energy is conserved (D) 0.024]arrow_forwardMechanical Engineering The following equation is used to calculate a change in the kinetic energy of a moving mass: KE = 0.5 * m * (v2 - u2) Where the quantities are: the kinetic energy KE (in Joules), the mass m (in kg), the initial velocity u (in m/s) and the final velocity v (in m/s). Determine if the equation is dimensionally homogeneous or not.arrow_forward.(b). A force acts on a 2.80-kg particle in such a way that the position of the particle as a function of time is given by x = Find the work done by the force during the first 4.0 s. [4,3] [CLO 3] (3t - 4t²+ t³). Answerarrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L