Question

at a constant pressure, the volume of a gas doubles when the temperature in kelvins doubles. this is a statement of which gas law?

boyle’s law
charles’s law
gay-lussac’s law
combined gas law

Explanation:

To determine the gas law, we analyze each option:

• Boyle’s law: Relates pressure and volume at constant temperature ( \( P_1V_1 = P_2V_2 \) ), so not relevant here.
• Charles’s law: States that at constant pressure, the volume of a gas is directly proportional to its absolute temperature (in Kelvins), i.e., \( \frac{V_1}{T_1}=\frac{V_2}{T_2} \). If temperature doubles (\( T_2 = 2T_1 \)), volume doubles (\( V_2 = 2V_1 \)) to maintain the ratio, matching the description.
• Gay - Lussac’s law: Relates pressure and temperature at constant volume, not volume and temperature at constant pressure.
• Combined gas law: Combines Boyle’s, Charles’s, and Gay - Lussac’s laws (\( \frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2} \)), but the problem specifies constant pressure, so Charles’s law is more specific here.

Answer:

B. Charles’s law