Problem 1: a) Calculate the most probable speed, average speed, and rms speed for nitrogen N, at room temperature. b) Use a computer to plot the Maxwell speed distribution for nitrogen molecules at T=300K and T=600K. Plot both as line graphs on the same axes and label the axes. c) At room temperature, what fraction of the nitrogen molecules in the air are moving at less than 300m/s?
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- A. Discuss the significant modification of Debye's theory from Einstein's theory and Dulong & Petit's law for specific heat capacity of solids B. Find the theoretical Debye temperature of copper (Cu) if the speed of sound in copper is 3901 m/s and its density and atomic mass is 8960 kg/m³ and 0.06355 kg/mol, respectively.High-intensity focused ultrasound (HIFU) is one treatment for certain types of cancer. During the procedure, a narrow beam of high-intensity ultrasound is focused on the tumor, raising its temperature to nearly 90°C and killing it. A range of frequencies and intensities can be used, but in one treatment a beam of frequency 4.40 MHz produced an intensity of 1425.0 W/cm. The energy was delivered in short pulses for a total time of 3.40 s over an area measuring 1.80 mm by 5.40 mm. The speed of sound in the soft tissue was 1580 m/s, and the density of that tissue was 1509.0 kg/m?. What was the wavelength A of the ultrasound beam? = m How much energy Eotal Was delivered to the tissue during the 3.40 s treatment? J Etotal = terms of use contact us help about us privacy polícy careers Show All V VS T.jpeg Free-Fall-Phet.docx free fall.png V VS T.jpeg FII F10 F8 F7 000 * F5 F6 aロLearning Goal: To understand the ideal gas law and be able to apply it to a wide variety of situations. The absolute temperature T, volume V, and pressure p of a gas sample are related by the ideal gas law, which states that PV = nRT Here n is the number of moles in the gas sample and R is a gas constant that applies to all gases. This empirical law describes gases well only if they are sufficiently dilute and at a sufficiently high temperature that they are not on the verge of condensing. In applying the ideal gas law, p must be the absolute pressure, measured with respect to vacuum and not with respect to atmospheric pressure, and I must be the absolute temperature, measured in kelvins (that is, with respect to absolute zero, defined throughout this tutorial as -273°C). If p is in pascals and V is in cubic meters, use R = 8.3145 J/(mol · K). If p is in atmospheres and V is in liters, use R = 0.08206 L atm/(mol-K) instead. Part A A gas sample enclosed in a rigid metal container at…
- A research group recently made an interesting discovery, while studying laser interactions with molecular gases. They found that nitrous oxide molecules (mass 44.013 g per mole) can reach temperatures exceeding 1,648 degrees Celsius after a interacting with a few closely-spaced (in time) laser pulses. At this temperature, what is the rms speed (in m/s) of a nitrous oxide molecule?Complete the following statement: The absolute temperature of an ideal gas is directly proportional to O the average momentum of a molecule of the gas. O the amount of heat required to raise the temperature of the gas by 1 Cº. O the number of molecules in the sample. O the relative increase in volume of the gas for a temperature increase of 1 Cº. O the average kinetic energy of the gas.What is the average kinetic energy of a proton in the center of the sun, where the temperature is 2.0 x 107 K? Express your answer with the appropriate units. Eavg Submit Part B μА Value Request Answer [www] Units ? What is the rms speed of a proton in the center of the sun, where the temperature is 2.0 x 107 K? answer with the appropriate units.
- a A Geiger-Mueller tube is a radiation detector that consists of a closed, hollow, metal cylinder (the cathode) of inner radius r and a coaxial cylindrical wire (the anode) of radius rb (see figure below) with a gas filling the space between the electrodes. Assume that the internal diameter of a Geiger-Mueller tube is 3.05 cm and that the wire along the axis has a diameter of 0.195 mm. The dielectric strength of the gas between the central wire and the cylinder is 1.15 x 106 V/m. Use the equation 2πrle in to calculate the maximum potential difference that can be applied between the wire and EO the cylinder before breakdown occurs in the gas. Cathode Anode =2.00 mol of helium and 1.00 mol of argon are separated by a very thin barrier. Initially the helium has 7500 J of thermal energy. The helium gains 2500 J of energy as the gases interact and come to thermal equilibrium by exchanging energy via collisions at the boundary. What was the initial temperature of the argon? First, what is the equilibrium temperature of the two gases? Express your answer in kelvins. ► View Available Hint(s) Tf = Submit Part B VE ΑΣΦ help What is the thermal energy of the argon at the equilibrium temperature? Express your answer with the appropriate units.Dr. Chini's research group recently made an interesting discovery, while studying laser interactions with molecular gases. They found that nitrous oxide molecules (mass 44.013 g per mole) can reach temperatures exceeding 745 degrees Celsius after a interacting with a few closely-spaced (in time) laser pulses. At this temperature, what is the rms speed (in m/s) of a nitrous oxide molecule?