Question 1

A weather balloon is released at sea level where the pressure is $$1.00\ 	ext{atm}$$ and the temperature is $$300\ 	ext{K}. $$The balloon has a volume of $$2.00\ 	ext{L}. As it $$rises to a higher altitude, the pressure drops to $$0.80\ 	ext{atm}$$ and the temperature decreases to $$270\ 	ext{K}. $$What is the new volume of the balloon? (Use $$\displaystyle \frac{P_1V_1}{T_1$} = \frac{P_2V_2}{T_2$})$$

Accepted Answer

$$2.22\ 	ext{L}$$

Question 2

Which of the following best explains why a weather balloon expands as it rises through the atmosphere, using the combined gas law?

Accepted Answer

As the balloon rises, atmospheric pressure decreases, so the volume increases to maintain the relationship $$\displaystyle \frac{P_1V_1}{T_1$} = \frac{P_2V_2}{T_2$}.$$

Question 3

If a weather balloon is filled with $$5.00\ 	ext{L} of $$gas at $$1.00\ 	ext{atm}$$ and $$273\ 	ext{K}$$, what will its volume be at $$0.50\ 	ext{atm}$$ and $$273\ 	ext{K}$$, assuming the amount of gas remains constant?

Accepted Answer

$$10.0\ 	ext{L}$$

Question 4

A weather balloon is released at $$20\ ^\circ	ext{C}$$ ($$293\ 	ext{K}) $$with a volume of $$3.00\ 	ext{L} at$$ $$1.00\ 	ext{atm}. If $$the balloon rises to a region where the temperature is $$-33\ ^\circ	ext{C}$$ ($$240\ 	ext{K}) $$and the pressure is $$0.60\ 	ext{atm}$$, what is the new volume? (Use $$\displaystyle \frac{P_1V_1}{T_1$} = \frac{P_2V_2}{T_2$})$$

Accepted Answer

$$3.67\ 	ext{L}$$

Question 5

Which equation correctly relates the initial and final states of a gas sample when the amount of gas is constant?

Accepted Answer

$$\displaystyle \frac{P_1V_1}{T_1$} = \frac{P_2V_2}{T_2$}$$

Question 6

A weather balloon contains $$4.00\ 	ext{L} of $$helium at $$1.20\ 	ext{atm}$$ and $$300\ 	ext{K}. If $$the balloon rises and the pressure drops to $$0.80\ 	ext{atm}$$ while the temperature remains constant, what is the new volume?

Accepted Answer

$$6.00\ 	ext{L}$$

Question 7

If the temperature of a weather balloon increases while the pressure remains constant, what happens to the volume of the balloon according to the ideal gas law?

Accepted Answer

The volume increases.

Question 8

A weather balloon is filled with $$2.00\ 	ext{L} of $$gas at $$1.00\ 	ext{atm}$$ and $$273\ 	ext{K}. If $$the balloon rises to a region where the pressure is $$0.50\ 	ext{atm}$$ and the temperature is $$273\ 	ext{K}$$, what is the new volume?

Accepted Answer

$$4.00\ 	ext{L}$$

Question 9

Which of the following statements about the behavior of gases in the atmosphere is correct according to the ideal gas law?

Accepted Answer

As a weather balloon rises and the external pressure decreases, the volume of the balloon increases if the temperature does not decrease proportionally.

Question 10

A weather balloon is filled with $$3.00\ 	ext{L} of $$gas at $$1.00\ 	ext{atm}$$ and $$273\ 	ext{K}. If $$the balloon rises to a region where the pressure is $$0.75\ 	ext{atm}$$ and the temperature is $$243\ 	ext{K}$$, what is the new volume? (Use $$\displaystyle \frac{P_1V_1}{T_1$} = \frac{P_2V_2}{T_2$})$$

Accepted Answer

$$4.49\ 	ext{L}$$

Question 11

Which variable must remain constant for Boyle's Law ($$P_1V_1 = P_2V_2) to be $$valid?

Accepted Answer

Temperature

Question 12

A weather balloon is filled with $$1.50\ 	ext{L} of $$gas at $$1.00\ 	ext{atm}$$ and $$273\ 	ext{K}. If $$the balloon rises to a region where the pressure is $$0.60\ 	ext{atm}$$ and the temperature is $$243\ 	ext{K}$$, what is the new volume? (Use $$\displaystyle \frac{P_1V_1}{T_1$} = \frac{P_2V_2}{T_2$})$$

Accepted Answer

$$2.81\ 	ext{L}$$

Gases and the Ideal Gas Law: Pressure and Volume Changes in Weather Balloons

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