How long does it take a sucrose molecule in water at 25 oC to diffuse along a single dimension by (a) 10 mm. (b) 10 em, (d) 10 m from its starting point?
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How long does it take a sucrose molecule in water at 25 oC to diffuse along a single dimension by (a) 10 mm. (b) 10 em, (d) 10 m from its starting point?
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- Two molecules are diffusing in a water solution held at the sametemperature T. Molecule A has three times the mass of molecule B. Molecule A also has a mean free path that is half that of molecule B. Both need to diffuse over the same distance (Xeff). How do the diffusion speeds compare? (Express your answer in terms of a “A over B” ratio)Suppose you are in a room that is at a temperature of 284.01K. What is the approximate RMS velocity of an O2 molecule in this room (in units of meters per second)?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 1.21 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 155-L tank at −45.0°C, what is the final pressure in the tank? MPa
- A cylinder that has a 45.0-cm radius and is 50.0 cm deep is filled with air at 19.5°C and 1.00 atm shown in figure (a). A 21.0-kg piston is now lowered into the cylinder, compressing the air trapped inside as it takes equilibrium height h; as shown in figure (b). Finally, a 21.5-kg dog stands on the piston, further compressing the air, which remains at 19.5°C as shown in figure (c). Ah 50.0 cm h; (a) How far down (Ah) does the piston move when the dog steps onto it? mm (b) To what temperature should the gas be warmed to raise the piston and the dog back to h,? °C Additional Materials 1 eBookA glass container encloses a low pressure of 02 gas at 298 K. The molecular weight of 02 is 32.0 g/mol. (A) Calculate the mean squared velocity, v², of these molecules in units of m²/s². (B) Find the root mean squared speed along the x-axis, Vx. (C) Would Vx be lower, higher, or the same under the same conditions if the gas were He instead of 02? Please explain your answer in 15 words or less.A cell doesn’t need a circulatory system, but your body does. Let’s do a quick calculation to see why. A typical cell has a diameter of 10 mm. The smallest mammals in the world, shrews, are about 10 μm across. Compute the diffusion time for oxygen molecules through water at 25°C for these two distances.
- (a) How many molecules are present in a sample of an ideal gas that occupies a volume of 1.90 cm3, is at a temperature of 20°C, and is at atmospheric pressure? molecules (b) How many molecules of the gas are present if the volume and temperature are the same as in part (a), but the pressure is now 1.80 ✕ 10−11 Pa (an extremely good vacuum)? molecules1) Calculate the correct values of both the questions.A 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?
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