The relocities of three molecules are 2 m/s, 3 m/s, 4 m/s resp. Find mean nelocity & root mean square velocity of molecules.
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- At what height is the atmospheric pressure 29.0% of what it is at sea level? Assume the molar mass of the air molecules to be 29.0 g/mol and that the air temperature is uniformly 287 K. [Answer in kilometres with 3 sig digits, but do not enter units with your answer]The root mean square velocity of an oxygen molecule is 1,302.27 m/s. Estimate the temperature at which it is located.(1) Hydrostatic balance states Op Əz Equation -1 where p is pressure, z is altitude, p is density and g is the acceleration due to gravity. It can be shown that the reciprocal of hydrostatic balance also applies. That is Equation -2 дz Әр = -Pg, = 1 pg Use the ideal gas law (p = pRT, where R is the gas constant for dry air and Tis temperature) to eliminate p from (2). (2) Under geostrophic balance, the following balance is approximately satisfied Equation -3 fu=-g ¹ (3) where f is the Coriolis parameter, u is the zonal wind, y is meridional distance and z is altitude. (Note that the derivative on the right hand side is taken at constant pressure.) Differentiate (3) with respect to p, and use your expression from part 1 to obtain an expression relating du/ap and T/ay. This expression is called "thermal wind balance".
- Determine how many times per second each molecule moving with rms speed would move back and forth across a 6.4 mm -long room on the average, assuming it made very few collisions with other molecules.To find vx use the equation v2=v2x+v2y+v2z and the fact that molecules have no preferred direction. vrms= 473 m/sAssume you are using the attached pressure gauge and a thermocouple with a temperature uncertainty of +/- 1C; assuming ideal gas how accurately can you report the molar volume n/V=RT/P?What is the root-mean-square speed, in units of m/sec, of monatomic Ne atoms at a temperature of 24.1°C?