A container in the shape of a cube 10.0 cm on each edge contains air (with equivalent molar mass 28.9 g/mol) at atmospheric pressure and temperature 300 K. Find (a) the mass of the gas, (b) the gravitational force exerted on it,and (c) the force it exerts on each face of the cube. (d) Why does such a small sample exert such a great force?
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A container in the shape of a cube 10.0 cm on each edge contains air (with equivalent molar mass 28.9 g/mol) at atmospheric pressure and temperature 300 K. Find (a) the mass of the gas, (b) the gravitational force exerted on it,
and (c) the force it exerts on each face of the cube. (d) Why does such a small sample exert such a great force?
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- A cylinder that has a 40.0cm radius and is 50.0cm deep is filled with air at 20.0 ∘C and 1.00atm (Fig. 1C.14a). A 20.0kg piston is now lowered into the cylinder, Compressing the air trapped inside (Fig.1C.14b). Finally, a 75.0kg man stands on the piston, further compressing the air, which remains at 20.0 ∘ C (Fig 1C.14c). (a) How far down (Δh) does the piston move when the man steps on to it? (b) To what temperature should the gas be heated to raise the piston and the man back to h i A 7.97 m3 tank contains 10.5 g of chlorine gas (Cl2) and an absolute pressure of 5.50 × 105 Pa. The mass per mole of Cl2 is 70.9 g/mol. (a) Determine the temperature of the tank in Celsius. (b) Later, the temperature of the tank has dropped to 33 °C and, due to a leak, the pressure has dropped to 3.30 × 105 Pa. How many grams of chlorine gas have leaked out of the tank?In a period of 1.2 s, 5.0 1023 nitrogen molecules strike a wall of area 8.5 cm2. If the molecules move at 285 m/s and strike the wall head on in a perfectly elastic collision, find the pressure exerted on the wall. (The mass of one N2 molecule is 4.68 10-26 kg.)
- In a period of 1.1 s, 5.0 x 1023 nitrogen molecules strike a wall of area 9.0 cm?. If the molecules move at 310 m/s and strike the wall head on in a perfectly elastic collision, find the pressure exerted on the wall. (The mass of one N, molecule is 4.68 x 10 26 kg.) PaAt standard temperature and pressure, a gas has a density of 0.089 kg/m3. What volume (in m3) does 1.84 kg of hydrogen occupy at standard temperature and pressure [round your final answer to one decimal place]?A simple thermometer is formed by taking a large spherical container of volume 1.13m³ and filling it with an ideal gas. Then, a U-shaped tube is attached that is very narrow so that very little fluid/gas can fit inside the tube. The tube has a small quantity of a fluid of density 1200kg/m³ placed in it. In equilibrium at room temperature - 21.9°C - the height of the fluid on both sides of the U-shaped tube are level. This is illustrated in the image below. What is the temperature of the gas in the spherical container when the left side of the fluid is 13.25cm higher than the right side of the fluid in the U-shaped tube? Atmospheric pressure is 101000Pa. °C
- Bacteria have a density that is about the same as water. Their average velocity is 10^-3 m/s. A bacterium with a radius of 1 um should have a diffusion coefficient of about 2.2x10^-13 m^2/s. (a) Find the random-walk step size (b) How long does it take for an average walk to reach 1 mm in seconds and days? Note that we are considering the diffusion away from the starting point and are calculating the distance through three dimensions. Show your workIn a period of 0.9 s, 5.0 1023 nitrogen molecules strike a wall of area 7.8 cm2. If the molecules move at 330 m/s and strike the wall head on in a perfectly elastic collision, find the pressure exerted on the wall. (The mass of one N2 molecule is 4.68 10-26 kg.)Long-term space missions require reclamation of the oxygen in the carbon dioxide exhaled by the crew. In one method of reclamation, 1.00 mol of carbon dioxide produces 1.00 mol of oxygen, with 1.00 mol of methane as a by-product. The methane is stored in a tank under pressure and is available to control the attitude of the spacecraft by controlled venting. A single astronaut exhales 1.13 kg of carbon dioxide each day. If the methane generated in the recycling of three astronauts' respiration during one week of flight is stored in an originally empty 120-L tank at -45.0°C, what is the final pressure in the tank? MPa Need Help? Read It
- A light balloon is filled with 397 m3 of helium at atmospheric pressure. (a) At 0°C, the balloon can lift a payload of what mass? kg (b) In the table below, observe that the density of hydrogen is nearly half the density of helium. What load can the balloon lift if filled with hydrogen? | kg Densities of Some Common Substances at Standard Temperature (0°C) and Pressure (Atmospheric) Substance p(kg/m³) p(kg/m3) Substance 0.917 X 10 7.86 X 10 Air 1.29 Ice Aluminum 2.70 X 10 Iron Benzene 0.879 X 103 Lead 11.3 X 10 Copper 8.92 X 103 Mercury 13.6 X 103 Ethyl alcohol Fresh water 0.806 X 10% Oak 0.710 X 10 1.00 X 10 Oxygen gas 1.43 Glycerin 1.26 X 103 Pine 0.373 X 103 19.3 X 10 1.79 X 10-1 21.4 X 10 1.03 X 10 10.5 X 103 Gold Platinum Helium gas Seawater Hydrogen gas 8.99 X 10-2 SilverA runner weighs 663 N and 71% of this weight is water. (a) How many moles of water are in the runner's body? (b) How many water molecules (H2O) are there?The gauge pressure in your car tires is 2.55 × 105 Pa at a temperature of 35.0°C when you drive it onto a ferry boat to Alaska. What is the gauge pressure of the tires, in pascals, later when the temperature has dropped to -40.0°C? Assume the volume of each tire does not change.