Q: Which of the following best expresses Charles's law?

$$\frac{V}{T} = \text{constant}$$

Q: At constant volume and moles, what is the relationship between pressure and temperature?

$$\frac{P}{T} = \text{constant}$$

Q: A hospital stores oxygen in a $$10\ \mathrm{dm}^3$$ tank at $$300\ \mathrm{K}. If $$the tank contains $$2$$ moles of gas, what is the pressure inside the tank? (Use $$R = 8.2\ \mathrm{dm}^3\cdot\mathrm{atm}\cdot\mathrm{K}^{-1}\cdot\mathrm{mol}^{-1}$$ and $$1\ \mathrm{atm} = 1.01 \times 10^5$\ \mathrm{Pa})$$

$$4.9 \times 10^5$\ \mathrm{Pa}$$

Question 1

A scuba diver uses a gas tank with a fixed mass of air. If the diver descends and the pressure on the tank doubles while the temperature remains constant, what happens to the volume of the gas inside the tank according to Boyle's law?

Accepted Answer

The volume is halved.

Question 2

A weather balloon contains 4.0 dm³ of helium at 2 atm. If the balloon rises and the external pressure drops to 0.5 atm while temperature is constant, what will be the new volume of the balloon?

Accepted Answer

$$16\ \mathrm{dm}^3$$

Question 3

Which of the following best expresses Charles's law?

Accepted Answer

$$\frac{V}{T} = 	ext{constant}$$

Question 4

A gas occupies $$5.0\ \mathrm{dm}^3 at$$ $$300\ \mathrm{K}. $$What is its volume at $$450\ \mathrm{K} if $$pressure is kept constant?

Accepted Answer

$$7.5\ \mathrm{dm}^3$$

Question 5

Which law states that equal volumes of gases at the same temperature and pressure contain equal numbers of molecules?

Accepted Answer

Avogadro's law

Question 6

At constant temperature and pressure, if the number of moles of a gas is doubled, what happens to its volume?

Accepted Answer

The volume doubles.

Question 7

Which combination of gas laws leads directly to the ideal gas equation $$PV = nRT$$?

Accepted Answer

Combination of Boyle's, Charles's, and Avogadro's laws

Question 8

A sample of gas at $$1 	imes 10^5$\ \mathrm{Pa}$$ and $$300\ \mathrm{K} is $$heated to $$600\ \mathrm{K} at $$constant volume. What is the final pressure?

Accepted Answer

$$2 	imes 10^5$

Question 9

Which graph best represents Boyle's law?

Accepted Answer

A straight line when plotting $$P vs$$ $$1/V$$

Question 10

A gas occupies $$3\ \mathrm{dm}^3 at$$ $$27^{\circ}$$\mathrm{C}$$. At what temperature (in Kelvin) will its volume be 6$$\ \mathrm{dm}^3$$ if pressure is constant?

Accepted Answer

$$600\ \mathrm{K}$$

Question 11

If the number of moles of a gas is doubled at constant temperature and volume, what happens to the pressure?

Accepted Answer

The pressure doubles.

Question 12

Which of the following expresses the density $$d of an $$ideal gas in terms of its molar mass $$M$$, pressure $$P$$, and temperature $$T$$?

Accepted Answer

$$d = \frac{PM}{RT}$$

Question 13

A gas sample contains twice the number of molecules as before. At constant temperature and pressure, what happens to the volume?

Accepted Answer

The volume doubles.

Question 14

Which condition makes a real gas behave most ideally?

Accepted Answer

Low pressure and high temperature

Question 15

If the pressure of a gas increases three times at constant temperature, what happens to its volume?

Accepted Answer

The volume becomes one-third.

Question 16

At constant volume and moles, what is the relationship between pressure and temperature?

Accepted Answer

$$\frac{P}{T} = 	ext{constant}$$

Question 17

How many molecules are present in $$22.4\ \mathrm{dm}^3 of an $$ideal gas at STP?

Accepted Answer

$$6.02 	imes 10$$^{23}$$

Question 18

If the volume of a gas is reduced to one-fourth its original value at constant temperature, what happens to the pressure?

Accepted Answer

The pressure becomes four times greater.

Question 19

A hospital stores oxygen in a $$10\ \mathrm{dm}^3$$ tank at $$300\ \mathrm{K}. If $$the tank contains $$2$$ moles of gas, what is the pressure inside the tank? (Use $$R = 8.2\ \mathrm{dm}^3\cdot\mathrm{atm}\cdot\mathrm{K}^{-1}\cdot\mathrm{mol}^{-1}$$ and $$1\ \mathrm{atm} = 1.01 	imes 10^5$\ \mathrm{Pa})$$

Accepted Answer

$$4.9 	imes 10^5$\ \mathrm{Pa}$$

Question 20

A gas occupies $$5\ \mathrm{dm}^3 at$$ $$300\ \mathrm{K}$$ and $$1\ \mathrm{atm}. If $$the temperature is increased to $$600\ \mathrm{K} at $$constant pressure, what will be the new volume?

Accepted Answer

$$10\ \mathrm{dm}^3$$

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