The R.M.S. speed of the molecules of a gas at N.T.P. is 420 m/s. If the mass of each molecule is 6.8 x 10 26 kg, calculate the number of molecules per cubic meter of the gas (atmospheric pressure P = 105 N/m²).
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- If a 5 m3 of gas initially at STP is placed under a pressure of 3 atm, the temperature of the gas rises to 17◦C. What is the volume now? Calculate to 2 decimals.n = 3.8 moles of an ideal gas are pumped into a chamber of volume V= (0.083 m³. The initial pressure of the gas is 1.01 × 10° Pa (about 1 atm). What is the initial temperature, in kelvin, of the gas? T = The pressure of the gas is increased ten times. Now what is the temperature, in kelvin, of the gas? T =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.
- The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV = nRT, where n is the number of moles of the gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant, P = 7.0 atm and is increasing at a rate of 0.15 atm/min and V = 13 and is decreasing at a rate of 0.17 L/min. Find the rate of change of T with respect to time (in K/min) at that instant if n = 10 mol.(Round your answer to four decimal places.)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 =If a 3 m3 of gas initially at STP is placed under a pressure of 2 atm, the temperature of the gas rises to 22◦C. What is the volume now? Calculate to 2 decimals.