The average speed of a sample of Ar atoms is 437 m/sec. What is the temperature of the sample? (Mar = 39.948 g/mol)
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- 6. The following data show the relation of vapour pressure of liquid Z as a function of temperature. p/mmHg T/°C 17.54 20 31.82 30 55.32 40 92.51 50 149.38 60 233.70 70 Using linear regression technique, compute the molar enthalpy of vaporization of liquid Z!What is the root-mean- Square Speed in mls of gas molecules with molar molecular weight 33 gimöl at a temperature of 87.29 °C? T=87.29°C + 273 33 gimol 360. 29 k = 0.033 kg/mel2. For T = 300 K, calculate the pressure (in bars) at which the mean free path of a hydrogen molecule will be each of the lengths given here. For H₂, o = 2.30 x 10-1⁹ m². (a) 100 μm (b) 1.00 mm (c) 1.00 m LL
- A sample of argon gas is in a container at 35.0° C and 1.22 atm pressure. The radius of an argon atom (assumed spherical) is 0.710 x 10-10 m. calculate the available volume for each atom.What is the density of water vapor in the air on a hot, dry day in the desert when the temperature is 40.0 °C and the relative humidity is 5.00 %? The vapor pressure of water at 40.0 °C is Py = 7.34 x 10° Pa and the molecular mass of water is M = 18.0 g/mol. Enter your answer in units of grams per cubic meter. density: g/m3The pressure unit 1 torr is comparable to 0.001 bar. In a sample of N₂ at this pressure and a temperature of 300 K, what is the mean free path between collisions in mm (millimeters)? Assume that the cross-section for N₂ molecules is o = 4.50 × 10-19 m².
- 8. The average energy of a mole of Einstein solid is given by: ӨЕ 3R0E Ē = 3R + 2 ӨЕ ет — 1 where E is the Einstein temperature and R the gas constant. Obtain expressions for the average energy at the limits of zero and infinite temperature and comment on your results.3. A spherical balloon is made from a material whose mass is 3.50 kg. The thickness of the material is negligible compared to the 1.30 m radius of the balloon. The balloon is filled with helium (He) at a temperature of 300 K and just floats in air, neither rising nor falling. The density of the surrounding air is 1.19 kg/m3 and the molar mass of helium is 4.0026x10 kg/mol. Find the absolute pressure of the helium gas. Pa 60 ssf6A hot air balloon uses the principle of buoyancy to create lift. By making the air inside the balloon less dense then the surrounding air, the balloon is able to lift objects many times its own weight. A large hot air balloon has a maximum balloon volume of 2090 m3. a. If the air temperature in the balloon is 54 °C, how much additional mass, in kilograms, can the balloon lift? Assume the molar mass of air is 28.97 g/mol, the air density is 1.20 kg/m3, and the air pressure is 1 atm.