Consider Argon (Ar) gas at a pressure of 1 bar and temperature of 300 K. The equivalent hardsphere radius (known as the Van Der Waal radius) of an Argon molecule is 188 picometers (pm)and its atomic mass is 39.948u. Note that 1u = 1.6605 x 10-27kg.a)How many molecules are contained in a cube 1 cm by 1 cm by 1 cm?b)Estimate the mean free path. At scales much larger than this, a continuum description holds.c)What is the density of the gas?d)Estimate the "root mean squared" molecular speed, i.e. SQRT( (V^2) )e)Estimate the dynamic and kinematic viscosities. Compare these with literature values, forexample from webbook.nist.edu.f) Plot the variation of dynamic viscosity with temperature in the range between 300K and3000K at a fixed pressure of 1 bar. Use Matlab, Python, Mathematica, or any other softwareyou may choose. Question 1:Consider Argon (Ar) gas at a pressure of 1 bar and temperature of 300 K. The equivalent hardsphere radius (known as the Van Der Waal radius) of an Argon molecule is 188 picometers (pm)and its atomic mass is 39.948u. Note that lu = 1.6605 × 10-27kg.1. How many molecules are contained in a cube 1 cm by 1 cm by 1 cm?2. Estimate the mean free path. At scales much larger than this, a continuum description holds.3. What is the density of the gas?4. Estimate the "root mean squared" molecular speed, i.e., V(V*).5. Estimate the dynamic and kinematic viscosities. Compare these with literature values, forexample from webbook.nist.edu.6. Plot the variation of dynamic viscosity with temperature in the range between 300K and3000K at a fixed pressure of 1 bar. Use Matlab, Python, Mathematica or any other softwareyou may choose.

We will be using the following formulae for solving the given problems: 1. PV=nRT .. (1) Here, 'P'…

Answered: Consider Argon (Ar) gas at a pressure…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Consider Argon (Ar) gas at a pressure of 1 bar and temperature of 300 K. The equivalent hard
sphere radius (known as the Van Der Waal radius) of an Argon molecule is 188 picometers (pm)
and its atomic mass is 39.948u. Note that 1u = 1.6605 x 10-27kg.

a)How many molecules are contained in a cube 1 cm by 1 cm by 1 cm?

b)Estimate the mean free path. At scales much larger than this, a continuum description holds.

c)What is the density of the gas?

d)Estimate the "root mean squared" molecular speed, i.e. SQRT( (V^2) )

e)Estimate the dynamic and kinematic viscosities. Compare these with literature values, for
example from webbook.nist.edu.

f) Plot the variation of dynamic viscosity with temperature in the range between 300K and
3000K at a fixed pressure of 1 bar. Use Matlab, Python, Mathematica, or any other software
you may choose.