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- Ideal gases are often studied at standard ambient temperature and pressure (SATP). The International Union of Pure and Applied Chemistry (IUPAC) defines SATP to be T = 25° C and P = 100 kPa. a. Calculate N/V (in particles per cubic meter) for an ideal gas at SATP b. How many atoms of an ideal gas at SATP are there in one cubic centimeter?A number of particles are moving in a box. Their speeds are measured, and the number of particles, N₁, with a speed of v¿ is listed in the table below. a) b) What is the root-mean-square speed of the particles ? What is the average speed ? What it the most probable speed ? Vi Ni 1.0 1 2.0 2 3.0 6 4.0 5.0 105At what temperature, in Celsius, do hydrogen molecules have the same speed as oxygen molecules at 266.26 degrees Celsius? Plz solve with100% accuracy.
- Calculate the mass of an atom of (a) helium, (b) iron, and (c) lead. Give your answers in kilograms. The atomic masses of these atoms are 4.00 u, 55.9 u, and 207 u, respectively.1. Average atomic and molecular speeds (vrms) are large, even at low temperatures. What is vrms (in m/s) for helium atoms at 6.00 K, just two degrees above helium's liquefaction temperature? 2. The escape velocity from the Moon is much smaller than from Earth and is only 2.38 km/s. At what temperature (in K) would hydrogen molecules (molar mass is equal to 2.016 g/mol) have an average velocity vrms equal to the Moon's escape velocity? 3.Hydrogen molecules (molar mass is equal to 2.016 g/mol) have an average velocity vrms equal to 239 m/s. What is the temperature (in K)?How many particles are present in a closed container if the energy it contains is (97505.45)J, and the diatomic oxygen gas is moving at a velocity of (57.41)m/s? Use only the whole number for the value of atomic mass unit. Express your answer in proper scientific notation.
- The enthalpy of vaporization of a liquid is 14.4 kJ at 180K, its boiling point at 1 bar. The molar volumes of the liquid and the vapor at the boiling point are 115 cm³ mol-¹ and 14.5 liter mol-¹, respectively. a. Use the Clapeyron equation to estimate d/d at the boiling point. b. Now use the Clausius-Clapeyron equation to calculate dP/T at the boiling point. C. What is the percent error in P/T when using the Clausius-Clapeyron equation? dT d. What approximations in the derivation of the Clausius-Clapeyron equation lead to the error in this estimate?Much of the gas near the Sun is atomic hydrogen. Its temperature would have to be 1.50 107 K for the average speed vrms to equal the escape speed of the Sun. What is that speed? The atomic mass of hydrogen is 1.008 10-3 kg/mol.The atomic and molecular rms speeds of gases, vrms, are usually quite large, even at low temperatures. What is vrms, in meters per second, for helium atoms at 4.8 K (which is close to the point of liquefaction)? Numeric : A numeric value is expected and not an expression.vrms = __________________________________________
- A container is filled with a sample of gas having n molecules with speed a, 20, 30, . n The ratio of aver speed to root mean square speed is (n+1) 3(n+1) 2(2n+1) (2) 2(2n+1) 5(2n+2) (3) 7(3n+1) 3(n+2) (4) V5(3n+2)Given the partition function of a certain gas is given by Z= C (V-nb)N (T3N/2), then the pressure is given by a. N2KT3/2/ (V-nb) b. NkT/ (V-nb) c. NkT/ (V-b) d. NkT/ VSuppose that the average speed (vme) of carbon dioxide molecules (molar mass 44.0 g/mol) in a flame is found to be 2.16 x 10° m/s. What temperature does this represent? 1.67e6 The number of grams per mole is numerically the same as the value measured in atomic mass units. How is the root mean square speed related to the temperature of a gas?K Additional Materials O Reading