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Kinetic Theory of Gases · Already know this?

Ten questions, one verdict per topic

Answer all ten without looking anything up. The result tells you, topic by topic, which lessons you may skip and which you should read.

Already know this?

Ten questions. The result tells you which lessons you may skip.

1

A gas in a rigid vessel is at \(27\,^\circ\text{C}\). To what temperature must it be heated for its pressure to double?

2

How many molecules are there in \(11.2\,\text{L}\) of nitrogen at STP? Take \(N_A = 6.02 \times 10^{23}\).

3

The density of an ideal gas is doubled at constant temperature. Its pressure

4

In a rigid vessel, the root mean square speed of the molecules of a gas doubles. The pressure becomes

5

At \(300\,\text{K}\) oxygen molecules (\(M = 32\,\text{g/mol}\)) have \(v_{\text{rms}} = 483\,\text{m/s}\). What is \(v_{\text{rms}}\) for hydrogen (\(M = 2\,\text{g/mol}\)) at the same temperature?

6

The absolute temperature of a gas is doubled. The average translational kinetic energy of its molecules

7

For the molecules of a gas at one temperature, the three characteristic speeds are in the order

8

The internal energy of one mole of a rigid diatomic ideal gas at temperature \(T\) is

9

The ratio \(\gamma = C_p/C_v\) for a monatomic ideal gas is

10

In an isothermal atmosphere with scale height \(H\), the pressure at the height \(h = H\) is