In a gas at standard conditions, what is the length of the side of a cube that contains a number of molecules equal to the population of the earth (about 7 × 10⁹ people)?
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- An atom of neon has a radius Ne-38. pm and an average speed in the gas phase at 25°C of 350.m/s. Suppose the speed of a neon atom at 25°C has been measured to within 0.10%. Calculate the smallest possible length of box inside of which the atom could be known to be located with certainty. Write your answer as a multiple of "Ne and round it to 2 significant figures. For example, if the smallest box the atom could be in turns out to be 42.0 times the radius of an atom of neon, you would enter "42.Ne" as your answer. [On the surface of a hypothetical planet X, the atmospheric pressure is 4.25 x 106 Pa, and the temperature is 707 K. On the earth's surface the atmospheric pressure is 1.00 x 105 Pa, while the surface temperature can reach 320 K. These data imply that the planet X has a "thicker" atmosphere at its surface than does the earth, which means that the number of molecules per unit volume (N/V) is greater on the surface of planet X than on the earth. Find the ratio (N/V)X/(N/V)Earth.The volume of an automobile tire is 2.5 × 10−2m3 . the pressure of the air in the tire is 3.3 atm and the temperature is 17C ◦ . what is is the mass of air in grams ? The mean molecular mass of air is 29g. 1 atm = 1.01 × 105 Pa ; Calculate to 2 decimals.
- If gas pressure (absolute value) for an ideal gas is held constant, the relationship between gas temperature and volume is direct inverse of the form y = mx + c O parabolicVRMS-1 Consider a container of Argon gas at a temperature of 25.0 °C. The mass of an Argon atom is 39.96 AMU, where 1 AMU = 1.66×10-27 kg. (a) What is the average kinetic energy per Argon atom, in Joules (J)? (b) What is the RMS average speed of the Argon atoms, in meters per second (m/s)? (c) What would the temperature of the gas have to be for the RMS average speed to 275 m/s? Give your answer in degrees Celsius (°C).The number density of gas atoms at a certain location in the space above our planet is about 0.75 × 10!1 m²³, and the pressure is 2.9 x 10- 10 Pa in this region. What is the temperature in this region, in degrees Celsius? T =