Q: A sample of gas occupies 3.00 L at 250 K. What will be its volume at 350 K, assuming constant pressure and amount of gas?

$$V_2 = 3.00$$\,\text{L} \times \frac{350\,\text{K}}{250\,\text{K}} = 4.20\,\text{L}$$

Q: A gas at 20 °C occupies 2.50 L. What is the final volume if the temperature is increased to 80 °C at constant pressure? (Use $$T_1 = 293$$\,\text{K}$$, T_2$ = 353\,\text{K})$$

$$V_2 = 2.50$$\,\text{L} \times \frac{353\,\text{K}}{293\,\text{K}} = 3.01\,\text{L}$$

Q: A 4.00 L sample of gas at 300 K is cooled to 150 K at constant pressure. What is the final volume?

$$V_2 = 4.00$$\,\text{L} \times \frac{150\,\text{K}}{300\,\text{K}} = 2.00\,\text{L}$$

Q: A gas sample has a volume of 6.00 L at 27 °C. What will be its volume at 127 °C, assuming constant pressure? (Use $$T_1 = 300$$\,\text{K}$$, T_2$ = 400\,\text{K})$$

$$V_2 = 6.00$$\,\text{L} \times \frac{400\,\text{K}}{300\,\text{K}} = 8.00\,\text{L}$$

Q: A gas sample at 288 K and 5.40 L is heated to 315 K. What is the final volume?

$$V_2 = 5.40$$\,\text{L} \times \frac{315\,\text{K}}{288\,\text{K}} = 5.91\,\text{L}$$

Question 1

Which of the following best describes Charles’s Law?

Accepted Answer

The volume of a gas is directly proportional to its temperature at constant pressure and amount of gas.

Question 2

A hot air balloon rises when the air inside is heated. Which gas law explains why the balloon expands as it is heated?

Accepted Answer

Charles’s Law

Question 3

A sample of gas occupies 3.00 L at 250 K. What will be its volume at 350 K, assuming constant pressure and amount of gas?

Accepted Answer

$$V_2 = 3.00$$\,	ext{L} 	imes \frac{350\,	ext{K}}{250\,	ext{K}} = 4.20\,	ext{L}$$

Question 4

Which of the following must remain constant for Charles’s Law to apply?

Accepted Answer

Pressure and number of moles

Question 5

If the volume of a gas decreases from 10.0 L to 5.0 L at constant pressure, what happens to the temperature?

Accepted Answer

The temperature decreases.

Question 6

A gas at 20 °C occupies 2.50 L. What is the final volume if the temperature is increased to 80 °C at constant pressure? (Use $$T_1 = 293$$\,	ext{K}$$, T_2$ = 353\,	ext{K})$$

Accepted Answer

$$V_2 = 2.50$$\,	ext{L} 	imes \frac{353\,	ext{K}}{293\,	ext{K}} = 3.01\,	ext{L}$$

Question 7

Why must temperatures be converted to Kelvin when using Charles’s Law?

Accepted Answer

Because the Kelvin scale starts at absolute zero, ensuring direct proportionality.

Question 8

A 4.00 L sample of gas at 300 K is cooled to 150 K at constant pressure. What is the final volume?

Accepted Answer

$$V_2 = 4.00$$\,	ext{L} 	imes \frac{150\,	ext{K}}{300\,	ext{K}} = 2.00\,	ext{L}$$

Question 9

Which of the following real-life scenarios is best explained by Charles’s Law?

Accepted Answer

A tire bursts on a hot day because the air inside expands.

Question 10

A gas sample has a volume of 6.00 L at 27 °C. What will be its volume at 127 °C, assuming constant pressure? (Use $$T_1 = 300$$\,	ext{K}$$, T_2$ = 400\,	ext{K})$$

Accepted Answer

$$V_2 = 6.00$$\,	ext{L} 	imes \frac{400\,	ext{K}}{300\,	ext{K}} = 8.00\,	ext{L}$$

Question 11

Which equation correctly represents Charles’s Law?

Accepted Answer

$$\frac{V_1$}{T_1$} = \frac{V_2$}{T_2$}$$

Question 12

A helium-filled balloon is brought from a cold room (5 °C) to a warm room (25 °C). What happens to the volume of the balloon, assuming constant pressure?

Accepted Answer

The volume increases.

Question 13

A gas sample at 288 K and 5.40 L is heated to 315 K. What is the final volume?

Accepted Answer

$$V_2 = 5.40$$\,	ext{L} 	imes \frac{315\,	ext{K}}{288\,	ext{K}} = 5.91\,	ext{L}$$

Question 14

Which of the following statements is NOT true about Charles’s Law?

Accepted Answer

It applies when the number of moles of gas changes.

Question 15

A gas at 1.00 atm and 273 K occupies 2.00 L. If the temperature is doubled at constant pressure, what is the new volume?

Accepted Answer

$$V_2 = 2.00$$\,	ext{L} 	imes \frac{546\,	ext{K}}{273\,	ext{K}} = 4.00\,	ext{L}$$

Charles’s Law: The Temperature–Volume Relationship of Gases

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