1. (a) What is the average translational kinetic energy of an oxygen molecule at STP? (b) What is the total translational kinetic energy of `2.0\ mol` of `O_2` molecules at `20°C`?
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2. The rms speed of molecules in a gas at `20.0°C` is to be increased by `1.0%`. To what temperature must it be raised?
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3. If the pressure of a gas is doubled while its volume is held constant, by what factor does `v_(rms)` change?
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4. What is the rms speed of an nitrogen molecules contained in an `8.5`-`m^3` volume at `2.1\ atm` if the total amount of nitrogen is `1300 mol`?
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5. Calculate (a) the rms speed of an oxygen molecule at `0°C` (b) determine how many times per second it would move back and forth across a `7.0`-`m`-long room on the average, assuming it made very few collisions with other molecules.
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6. (a)Estimate the rms speed of an amino acid whose molecular mass is `89\ u` in a living cell at `37°C`. (b) What would be the rms speed of a protein of molecular mass `50,000\ u` at `37°C`?
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7. Show that the pressure `P` of a gas can be written `P=1/3ρv^2`, where `ρ` is the density of the gas and `v` is the rms speed of the molecules.
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