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1. In general chemistry courses, students learn that the value of the gas

constant (R) is 0.0820578 L atm mol”! K7!. Determine the value of the

gas constant in SI base units.

2. A system consisting of two connected gas bulbs of equal volume is

immersed in a boiling water bath at 373 K. At this temperature (7),

the pressure (?) in the bulbs is 0.750 atm. Rearrangement of the system

places one bulb in an ice-water bath (273 K), whereas the other bulb

remains in the boiling water bath. What is the new pressure in the

system?

3. A sample of an ideal gas is compressed isothermally from 275 mL to

75.0 mL. If the initial pressure was 1.00 bar, what was the final pressure?

4, How many moles of an ideal gas are in a 1,725-mL container at 25°C if

the pressure is 675 torr?

5. A tank has a volume of 1,250 L and is filled with air with a relative

humidity of 55% at 298 K. Assuming ideal behavior, what is the mass of

the water in the tank? At this temperature, the vapor pressure of water is

23.8 torr.

6. Dry ice (solid carbon dioxide) sublimes at 195 K (7°). If the pressure is

1.10 atm (P), what is the density of the carbon dioxide gas in grams per

liter?

7. A 1.00-L (V) sample of an unknown gas had a pressure of 0.750 atm (?)

at an unknown temperature. The addition of 0.0100 mol of hydrogen gas

followed by cooling of the container to 298 K (7’) returned the pressure

to its original value. Determine the original temperature of the sample.

4 > McGraw-Hill’s 500 Physical Chemistry Questions

8. A gas mixture has a density of 1.25 g L7 at 298 K (7) and 1.00 atm (P).

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Assuming ideal behavior, what is the average molar mass of the gas in the

mixture?

At 372 K (T), the vapor of a volatile liquid filled a Dumas bulb ata

pressure of 0.975 atm (P). Upon cooling, the bulb was found to contain

0.3375 g of liquid. The volume of the bulb was 0.110 L (V). What was

the molar mass of the volatile liquid?

A vacuum system has a pressure of 5.0 x 107!° atm (P) at 298 K (7). The

volume of the system is 1.375 L (V). Assuming ideal behavior, how many

molecules of gas remain in the system?

The vapor pressure of water at 308 K (7) is 41.2 torr (P). What is the

concentration of the water vapor in moles (7) per liter (M)?

A 1.00-L (V) sample of steam collected at 389 K (7°) and at a pressure

of 1.00 atm (2) was condensed to form 0.578 g of water. What was the

compressibility factor (Z) of the steam?

At 273 K (T) and 100 atm (P), the compressibility factor (Z) is 0.783 for

methane gas. What is the volume (V) of 15.0 mol (7) of methane gas at

273 K and 100 atm?

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A sample of hydrogen gas is collected over water at 30°C. If the pressure of

the system is 757.5 torr, what is the partial pressure of the hydrogen gas?

Using the van der Waals equation, calculate the pressure (P) exerted by a

2.00-mol (7) sample of chlorine gas confined in a volume (V) of 0.500 L

at a temperature (7′) of 345 K.

The van der Waals constants for methane are a = 2.25 L? atm mol and

b= 0.0428 L mol”!. Determine the molecular diameter of methane.

What is the average translational energy per mole (E,,,,.) for a sample of

helium gas at 298 K (T)?

What is the root-mean-square speed (v,,,,) for helium gas at 298 K (T)?

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