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- (a) Show that the density of an ideal gas occupying a volume V is given by = PM/KT, where M is the molar mass. (b) Determine the density of oxygen gas at atmospheric pressure and 20.0C.A cubic container of volume 2.00 L holds 0.500 mol of nitrogen gas at a temperature of 25.0 . What is the net force due to the nitrogen on one wall of the container? Compare that force to the sample's weight.4. 3.00 L of a gas is collected at 35.0°C and 705.0 mmHg. What is the volume at STP? 5. A sample of dry gas weighing 3.1134 grams is found to occupy 3.650 L at 22.0°C and 740.0 mmHg. How many moles of the gas are present?
- A tire with an inner volume of 0.025 m^3 is filled with air at a gauge pressure of 36psi. If the tire valve is opened to the atmosphere, what volume outside of the tire does the escaping air occupy? Some air remains within the tire occupying the original volume, but now that remaining air is at atmospheric pressure. Assume the temperature of the air does not change. a. 0.086 m^3b. 0.096 m^3c. 0.868 m^3d. 0.673 m^3A container holds 76.5 liters of Oxygen at 266.2K and a pressure of 3.48 atmospheres. How much heat is required to raise the temperature of this gas to 310.6K, holding the volume constant? Give your answer in kJ. Treat the gas as an ideal gas.2. 8.00 L of a gas is collected at 60.0°C. What will be its volume upon cooling to 30.0°C? 3. 4.73 L of a gas is collected at 32.0°C and 625.0 mmHg. When the temperature is changed to standard conditions, what is the new pressure?
- Nitrogen is contained in a 80L tank and the initial pressure and temperature is 250 kPa and 200 °C, respectively. Note the ideal gas constant for nitrogen is 0.2968 kJ/kg KDetermine:a. The mass of the gas in kg.b. Now, if 0.05 kg of gas leaks out of the tank and in the process the temperature of the gas remaining in the tank in kPa. If the atmospheric pressure is 101.325 kPa.If 3.8 molesof an ideal gas is at a temperature of65°Cand contained in a0.27ˍm³volume, then what isthe pressure on the walls of the container due to the gas?(Use8.314J/mol⋅K.). 5.A.68300ˍPaD.39550ˍPaB.20460ˍPaE.69470ˍPaC.48640ˍPaF.29780ˍPa8. 0.10 mol of Argon gas is admitted to an evacuated 50cc container at 20°C. The gas is then heated atconstant volume until it reaches 300°C. What is the pressure of the gas when it reaches 300°C?
- Gas X is an ideal gas occupying a volume of15 ml at a temperature of 55 deg. F and a pressure of 700 mmHg. What is the volume of a gas at 0 deg. F and 800 mmHg?1.5 kg of methane gas was filled in a tube with a volume of 12 dm3. The tube pressure is heated with a bottom heating source until it is 55 atm. Calculate the temperature of the final gas using the generalized compression diagram.A drum 0.5 ft in diameter and 45 inches long contained acetylene at 350 psia, 90 0F. After some of the acetylene was used, the pressure was 200 psia and 85 0F. a) determine the amount of acetylene that was used (lb m ). b) What volume would the used acetylene occupy at 14.7 psia, 80 0F (ft3 ) ? R for this gas is 59.35 ft-lbf /lbm-R. (Please show complete solution and round off all final answers to the 4th decimal)