What pressure would 4.56 g of nitrogen gas in a vessel of volume 2.25 dm3 exert at 273 K if it obeyed the virial equation of state up to and including the first two terms?

At what pressure does the mean free path of Argon at 298 K become comparable to the size of a 1.000 L (spherical) vessel that contains the gas? Take the diameter of argon to be about 0.339 nm.

When limestone (solid CaCO3) is heated, it decomposes into lime (solid CaO) and carbon dioxide gas. This is an extremely useful industrial process of great antiquity, because powdered lime mixed with water is the basis for mortar and concrete - the lime absorbs CO₂ from the air and turns back into hard, durable limestone. Suppose a limekiln of volume 800. L is pressurized with carbon dioxide gas to 14.9 atm, and heated to 960.0 °C. When the amount of CO, has stopped changing, it is found that 3.96 kg of CaCO, have appeared. Calculate the pressure equilibrium constant K, this experiment suggests for the equilibrium between CaCO3 and CaO at 960.0 °C. Round your answer to 2 significant digits. Note for advanced students: it's possible there was some error in this experiment, and the value it suggests for K, does not match the accepted value. K = 3.07 P

Calculate the pressure, in atmospheres, of 2.40 molesmoles of helium gas in a 10.0-LL container at 21 ∘C∘C. Express your answer with the appropriate units.

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