F.O.C Ch. 14

The cylinder in the drawing contains 3.00 mol of an ideal gas. By moving the piston, the volume of the gas is reduced to one-fourth its initial value, while the temperature is held constant. How many moles Δn of the gas must be allowed to escape through the valve, so that the pressure of the gas does not change?

2.25 mole

If the speed of every atom in a monatomic ideal gas were doubled, by what factor would the Kelvin temperature of the gas be multiplied?

4

The diffusion rate for a solute is 4.0 � 10-11 kg/s in a solvent-filled channel that has a cross-sectional area of 0.50 cm2 and a length of 0.25 cm. What would be the diffusion rate m/t in a channel with a cross-sectional area of 0.30 cm2 and a length of 0.10 cm?

6.0 x 10^-11

All but one of the following statements is true. Which one is not true?

Ten grams of a pure substance contains the same number of molecules, no matter what the substance is, is not true.

The atomic mass of a nitrogen atom (N) is 14.0 u, while that of an oxygen atom (o) is 16.0 u. Three diatomic gases have the same temperature: nitrogen (N2), oxygen (O2), and nitric oxide (NO). Rank these gases in ascending order (smallest first), according to the values of their translational rms speeds:

(?)

The pressure of a monatomic ideal gas is doubled while the volume is cut in half. By what factor is the internal energy of the gas multiplied?

1

Carbon monoxide is a gas at 0 C and a pressure of 1.01x05 Pa. It is a diatomic gas, each of its molecules consisting of one carbon atom (atomic mass = 12.0 u) and one oxygen atom (atomic mass = 16.0 u). Assuming that carbon monoxide is an ideal gas, calculate its density ?.

1.25 kg/m^3

A mixture of ethyl alcohol (molecular mass = 46.1 u) and water (molecular mass = 18.0 u) contains one mole of molecules. The mixture contains 20.0 g of ethyl alcohol. What mass m of water does it contain?

10.19 g

The following statements concern how to increase the rate of diffusion (in kg/s). All but one of them is true. Which one is not necessarily true?

Increase the cross-sectional area of the diffusion channel, increase the difference in solute concentrations between its ends, and increase its length.

For an ideal gas, each of the following unquestionably leads to an increase in the pressure of the gas, except one. Which one is it?

Increasing the temperature, volume, and number of moles of the gas