P = 25 uc/m³ is distributed uniformly through a certain region. If V = 50 at y = 2 and V=< 90 at y = 5, & = 2. a- Give the solution and calculate V, E.
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- A number of particles are moving in a box. Their speeds are measured, and the number of particles, N₁, with a speed of v¿ is listed in the table below. a) b) What is the root-mean-square speed of the particles ? What is the average speed ? What it the most probable speed ? Vi Ni 1.0 1 2.0 2 3.0 6 4.0 5.0 1051. Average atomic and molecular speeds (vrms) are large, even at low temperatures. What is vrms (in m/s) for helium atoms at 6.00 K, just two degrees above helium's liquefaction temperature? 2. The escape velocity from the Moon is much smaller than from Earth and is only 2.38 km/s. At what temperature (in K) would hydrogen molecules (molar mass is equal to 2.016 g/mol) have an average velocity vrms equal to the Moon's escape velocity? 3.Hydrogen molecules (molar mass is equal to 2.016 g/mol) have an average velocity vrms equal to 239 m/s. What is the temperature (in K)?B-The equation of motion of spherical bubble growing freely in an inviscid Iquid is given a as follows: Vo(P₁-Pg)g-d/dt (Vb(Pg-0.5p)dz/dt) Where V, is the bubble volume, z is an axial coordinate and t is time. If the bubble grows according to the equation :V₁, At" where (A )and (a )are constant and p<Consider the equation a=6πb/q√17 relating the variables a, b and q. If a scientist does an expirment in which b is held constant, q is varied, and a is measured. A. Identify the independent and dependent variables. B. What functional relationship is being testing? C. What should be plotted in order to confirm this relationship? (order matters)TI The mean free path of a molecule in a gas is 310 nm What is the mean free path if the gas temperature is tripled at constant volume? Express your answer with the appropriate units. λ = Submit Part B · HA Value Request Answer Units ? What is the mean free path if the gas temperature is tripled at constant pressure? Express your answer with the appropriate units.Fluids Q5The nucleus of an atom can be modeled as several protons and neutrons closely packed together. Each particle has a mass of 1.67 x 10-27 kg and radius on the order of 10-15 m. (a) Use this model and information to estimate the density of the nucleus of an atom. 3.986E177 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. kg/m³ (b) Compare your result with the density of a material such as iron. What do your result and comparison suggest about the structure of matter?n = 4.2 moles of an ideal gas are pumped into a chamber of volume V = 0.146 m3. 1. The initial pressure of the gas is 1.01 × 105 Pa (about 1 atm). What is the initial temperature, in kelvin, of the gas? 2. The pressure of the gas is increased ten times. Now what is the temperature, in kelvin, of the gas?RTI The molecules in a six-particle gas have velocities ₁ (201-30j) m/s V2 (10i+60j) m/s 73=(-501 +20j) m/s 7= 30i m/s Vs (40i-40j) m/s ₁=(-50 i 10j) m/s Calculate Varg Express the x and y components of the velocity in meters per second separated by a comma. Uz avg, Uy avg Submit Part B VD|| ΑΣΦ Request Answer W Calculate Davg- Express your answer with the appropriate units. ? m/sPlease answer parts d and ePart A: Consider a monatomic gas of particles each with mass m. What is Vx,rms =,v²), the root mean square (rms) of the x component of velocity of the gas particles if the gas is at an absolute temperature T? Express your answer in terms of T, KB, m, and other given quantities. Hint: For this case, the Equipartition Theorem reduces to m(v)=kgT. Vx,rms=J{v%) = ? Part B: Now consider the same system a monatomic gas of particles of mass m, except in three dimensions. Find vx,rms, the rms speed if the gas is at an absolute temperature T. Express your answer in terms of T, KB, m, and other given quantities.I just need help with part D Problem 6: There are lots of examples of ideal gases in the universe, and they exist in many different conditions. In this problem we will examine what the temperature of these various phenomena are. Part (a) Give an expression for the temperature of an ideal gas in terms of pressure P, particle density per unit volume ρ, and fundamental constants. Answer: T = P/( ρ kB ) Part (b) Near the surface of Venus, its atmosphere has a pressure fv= 96 times the pressure of Earth's atmosphere, and a particle density of around ρv = 0.92 × 1027 m-3. What is the temperature of Venus' atmosphere (in C) near the surface? Answer: Tv = 490.55 Part (c) The Orion nebula is one of the brightest diffuse nebulae in the sky (look for it in the winter, just below the three bright stars in Orion's belt). It is a very complicated mess of gas, dust, young star systems, and brown dwarfs, but let's estimate its temperature if we assume it is a uniform ideal gas. Assume it is a…SEE MORE QUESTIONS