If density of mercury is 13600 kg/m and g = 9.8 m/s². Find the energy of translation per cubic metre of oxygen at N.T.P.
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- If density of mercury is 13600 kg/ m = 9.8 m/s?. Find the energy of translation 3 and g %3D per cubic metre of oxygen at N.T.P.A child has a temperature of 101°F. If her total skin area is 19 m², find the energy loss per second due to radiation, as- suming the emissivity is 1. Assume the room temperature is 70°F. The Stephan-Boltzmann constant is 5.6696 × 10-8 w/m² · Kª . 2 Answer in units of W.Calculate the energy density in the range 1000 cm−1 to 1010 cm−1 inside a cavity at (a) 25 °C, (b) 4 K.
- The conversion between electron-volts and joules is 1 eV=1.60x10^-19 J . The work function for silver is 7.43 x 10^-19 . What is the work function for silver expressed in electron-volts?What is the root-mean-square speed, in units of m/sec, of monatomic Ne atoms at a temperature of 24.1°C?Near the surface of a certain kind of star, approximately one hydrogen atom per 10 million is in the first excited level (n = 2). Assume that the other atoms are in the n = 1 level. Use this information to estimate the temperature there, assuming that Maxwell-Boltzmann statistics are valid.
- Atoms can be "cooled" to incredibly low temperatures by letting them interact with a laser beam. Various novel quantum phenomena appear at these temperatures. What is the rms speed of cesium atoms that have been cooled to a temperature of 100 nK ? Express your answer with the appropriate units.The Earth reradiates the energy it receives from the Sun as a black body. We can calculate the effective temperature of the Earth using the Stefan-Boltzmann equation F = sT4 where we solve for the Temperature T. We use for the energy flux the amount of energy absorbed per second Le divided by the Earth's surface area from which the energy is radiated 4pd2 so that the flux is = Le/(4pd2). Here d is the radius of the Earth given above and s is the Stefan-Boltzmann constant. And the effective temperature is:Te4 = (Le/(4pd2))/s = Le/(4spd2) = __________________ K4and taking the square root of Te4 twice in succession we get the effective Temperature Te:Te = [Le/(4spd2)]0.25 = _________________ Kfor the temperature of the effective Earth. What is the temperature in the Celsius scale? __________ C. (Do I need to tell you how to convert from Kelvin to Celsius? If you don't know look it up in your textbook!!)Problem 2) Consider the following Maxwell Boltzmann distribution of molecular speeds: P(v) = 4( m 27kBT. mp² v²e 2kgT To calculate average values for say f(v) (function of v) one just integrates f(v) with P(v)dv from zero to infinity = P(v)f(v)dv, where signifies average of f(v). Of course, the distribution should be normalized: P(v)dv=1, (is a requirement for any probability distribution). a) Check the last equation. b) Calculate the average of v. c) Calculate the average of v². d) Calculate from c) the RMS value of the speed. e) Calculate the most probable value of v. f) Square the results of b, d and e and rank them from smallest to the largest value.