A water molecule has a diameter of about 0.275 nm. How many hours would it take for a water molecule to diffuse across the surface of a Starbucks Venti sized cup of coffee whose diameter is 3.8 inches? Assume that coffee is liquid H20 for your calculation. The diffusion coefficient of H2O in water is 2.26 X 109 m2s

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 work

In a gas that is a mixture of water (two H and one O) and carbon dioxide (one C and two O), if the water has average velocity of 347 m/s, what is the average velocity of the carbon dioxide molecule? Give your answer as number in units of m/s without entering the units.

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.

0.52 mol of argon gas is admitted to an evacuated 3.00 liter (3.00 × 10-3 m3) container at 20.0°C. The gas then undergoes an isobaric process to a temperature of 260°C. What is the final pressure of the gas, in atm? Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.