Very fine smoke particles are suspended in the air. The translational RMS speed of a smoke particle is And the temperature is 301K. Find the mass of a particle.
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1 ) What is the total translational kinetic energy of the gasmolecules of 0.430 mol of air at atmospheric pressure that occupiesa volume of 5.00 L (0.00500 m3)? unit in j2 ) What is the total internal kinetic energy of 1.0 mol of anideal gas at 9.0° C and 1.00 atm? unit in kj3 ) A smoke particle has a mass of 2.20 10-17 kg and it is randomlymoving about in thermal equilibrium with room temperature air at31° C. What is the rms speed of the particle? unit in cm/s
Small dust particles suspended in air seem to dance randomly about,a phenomenon called Brownian motion.For this problem you will need to know Boltzmann's constant: k_{\rmB}=1.38\times10^{-23}\;{\rm J/K}.A) What would you expect the mean translational kinetic energy K ofsuch particles to be if they are in air at a temperature of 290K?Express the mean translational kinetic energy numerically, injoules, to two significant figures.B) Find an expression for the rms (root-mean-square) speed v_rms ofthese particles, assuming them to be spheres of diameter d anddensity rho.
When there are forest fires, the mean free path for light in Los Angeles can be reduced to as little as 1 km. If burning a tree produces smoke particles with an average radius of 10-5 m, compute the fraction of the local atmospheric mass that must be smoke. Assume that the density of a smoke particle is 1000 kg/m-3. Assume trees are cylinders that are 1 m in diameter and 10 m in height. How many trees are required to burn in order to create enough smoke to reduce the mean free path in a region that is 1 km2 in surface area and 1 km in height? Do you think that a forest could have this number of trees in 1 km2? Assume the average distance between trees is 3 m.
