A balloon with a volume of 6.0 L is heated from 300 K to 450 K. Assuming the pressure remains constant, what will the new volume of the balloon be? A gas has a volume of 2.0 L at a temperature of 280 K. What will the volume be when the temperature is increased to 350 K at constant pressure?
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I need help with this problem and an explanation for the solution described below. (University Physics 1:
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- P1. Consider a gas of oxygen atoms (H0, = 32 g/mol). What should the temperature of the gas be for the mean square speed of the atoms to be v = 100 m/s? While keeping the temperature the same as before, what should the pressure of the gas be for a container of volume V = 51 to be able to contain m = 1 kg of oxygen? How much does the temperature of the gas increase if the container is dropped on the ground at a speed of u = 2 m/s? You may neglect thermal conduction with the outside.P1. Consider a gas of oxygen atoms (µo, = 32 g/mol). What should the temperature of the gas be for the mean square speed of the atoms to be v = 100 m/s? While keeping the temperature the same as before, what should the pressure of the gas be for a container of volume V = 51 to be able to contain m = 1 kg of oxygen? How much does the temperature of the gas increase if the container is dropped on the ground at a speed of u = 2 m/s? You may neglect thermal conduction with the outside.Consider an ideal gas with an absolute temperature of T1. To A) what temperature would the gas need to be heated to double it’s pressure? Express the answer in terms of T1 B) consider an ideal gas with a volume of V1. To what volume would the gas need to be compressed to double it’s pressure? Express the answer in terms of V1
- Q7. An ideal gas is kept inside a closed container at a temperature of 40 K and a pressure of 0.00024 atm. If the container is slowly heated with the help of a burner till the temperature inside the container reaches to 100 K, then the pressure inside the container becomes: O 0.0006 atm. 0.00048 atm. O 0.001 atm. O 0.0004 atm. 0.00001 atm.a.) An ideal gas is in a sealed container. By what factor does the gas temperature change if the volume is halved and the pressure is tripled? b.) An ideal gas is in a sealed container. By what factor does the gas temperature change if the volume is doubled and the pressure is tripled? c.) If you have two jars containing the same amount, n1=n2, and type of gas (for example, oxygen) and they are at the same temperature, T, what can you say about their pressure if the first jar has four times the volume of the second, V1 = 4V2? Hint: use pV=nRTA closed 1 L water bottle contains air at standard temperature and pressure. The bottle is left in a room for a few hours, and the sun heats up the bottle to 30oC. What is the new pressure inside the bottle? Give an answer in atm with 3 digits of precision behind the decimal.
- A 0.5 m3 container holds 50 mol of an unknown gas at a temperature of 25 °C. A piston is used to expand the volume of the chamber to 1.0 m3 without changing the temperature of gas. What is the pressure in the container now (in kPa)? The piston is again used to change the volume of the container (without changing the temperature). After doing so the pressure in the container is 496 kPa. What is the volume of the container (in m3)?A balloon containing 2 moles of an ideal gas at 428.94 K. Another 1 mole of the ideal gas is added to the balloon while holding the volume and pressure constant. What is the resulting temperature? Report your answer in K.Suppose a 27.5°C car tire contains 3.6 mol of gas in a 30.5 L volume. a. What is the gauge pressure, in atmospheres, in the car tire? b. What will the gauge pressure be if you add a quantity of gas that had a volume of 2.00 L when it was at atmospheric pressure and the same temperature as the tire?
- A 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.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 gas is heated to 75 °C and a pressure of 200 kPa. If the container is compressed to hold a volume of 700 mL, what was the volume of the gas, (in litres), at a temperature of 40 °C and 100 kPa pressure? B. A vessel of volume 5x10-5 m3 contains hydrogen at a pressure of 1.5 Pa at a temperature of 37 °C. Estimate: i. The number of molecules of hydrogen gas in the vessel. (4 marks) ii. The number of moles of hydrogen. iii. Mass of hydrogen iv. The kinetic energy of hydrogen. v. The root mean square speed. Given: M = 1.008 g/mol; R = 8.31 J/mol-K; NA = 6.02 x 1023 mol-1; k = 1.38 x 10-23 J/K