P1. Consider a gas of oxygen atoms (µo2 = 32 g/mol). What should the temperature of %3D gas be for the mean square speed of the atoms to be v = temperature the same as before, what should the pressure of the gas be for a container of volume V = 5l 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. the 100 m/s? While keeping the
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- a. Compute the specific heat capacity at constant volume of nitrogen (N2) gas. The molar mass of N2 is 28.0 g/mol. b. You warm 1.15 kg of water at a constant 1L volume from 20∘C to 30∘C in a kettle. For the same amount of heat, how many kilograms of 20∘C air would you be able to warm to 30∘C? Make the simplifying assumption that air is 100% N2. What volume would this air occupy at 20∘C and a pressure of 1 atm ?A container of nitrogen molecules is at a temperature of 37.0°C. What is the mass of a nitrogen molecule in atomic mass units? [Note: nitrogen is a diatomic gas.] а. b. What is the mass of a nitrogen molecule in kilograms? C. What is the average translational kinetic energy of the nitrogen molecules? d. What is the rms speed of the nitrogen molecules? е. What is the average rotational energy of a nitrogen molecule?7. Containers A and B in the figure to the right hold the same gas. The volume of B is four times the volume of A. The two containers are connected by a thin tube (negligible volume) and a valve that is closed. The gas in A is at 300 K and pressure of 1.0 × 10³ Pa. The gas in B is at 400 K and pressure of 5.0 × 105 Pa. Heaters will maintain the temperatures of A and B even after the valve is opened A 300 K Valve B 400 K a) After the valve is opened, gas will flow one way or the other until A and B have equal pressure. What is the final pressure? b) Is this a reversible or an irreversible process? Explain..
- Part C Some hydrogen gas is enclosed within a chamber being held at 200°C with a volume of 0.0250 m³. The chamber is fitted with a movable piston. Initially, the pressure in the gas is 1.50 × 106 Pa (14.8 atm). The piston is slowly extracted until the pressure in the gas falls to 0.950 x 106 Pa. What is the final volume V₂ of the container? Assume that no gas escapes and that the temperature remains at 200°C. Enter your answer numerically in cubic meters. ► View Available Hint(s) V₂ = Submit [5] ΑΣΦ ? m³P3. After a particularly cold night, Alice leaves a tub of water outside. You may consider the ground and air to have temperatures of T. = -10°C and T = 10°C respectively. How thick is the layer of ice that forms at the bottom of the tub of water, after the tub has been left outside for a long time? The tub of water initially has a layer of water of thickness họ = 10 cm. You may assume that the ground and air remain at a constant temperature throughout, and that the side lengths of the tub a, b > ho, i.e. the heat conduction is one- dimensional. Density of ice and water are Pice = 920 kg/m³ and Pw = 1000 kg/m³. Ice and water have thermal conductivities of kice = 2.22 WK-1m-1 and kiw = 0.556 W K-1m-1.A cubical box with sides of length 0.247 m contains 1.110 moles of neon gas at a temperature of 320 K. What is the average rate (in atoms/s) at which neon atoms collide with one side of the container? The mass of a single neon atom is 3.35x10-26 kg. Number i Units
- 5. A gas with volume V, pressure P, and temperature T is inside a container with a moveable piston. No gas is leaking from the container as the temperature of gas is quadrupled while the volume is doubled. What will be the new pressure? A. 2P B. P C. 1/2 P D. 8PSuppose that the rms speed of carbon dioxide molecules, with molar mass of 44.0 g/mol, in a flame is found to be 1.2 × 105 m/s a.What temperature, in kelvins, does this represent? b. What temperature, in celsius does this represent?