Final answer:
According to Boyle's Law, when an ideal gas expands at constant temperature, the pressure of the gas decreases proportionally to its volume increase.
Step-by-step explanation:
The gas law that relates the pressure and volume of an ideal gas at constant temperature is Boyle's Law. According to Boyle's Law, when the volume of a given amount of gas is increased, the pressure of the gas decreases proportionally, and vice versa.
In this case, since the gas expands from 1.0m to 3.0m, the volume of the gas has increased by a factor of 3. Therefore, based on Boyle's Law, the pressure of the gas would reduce by a factor of 1/3.
Understanding the Gas Laws
When considering an ideal gas that expands from 1.0m3 to 3.0m3 at atmospheric pressure, Boyle's Law, Charles's Law, and Gay-Lussac's Law can offer insights into the behavior of the gas under different conditions.
Boyle's Law describes the inverse relationship between the volume and pressure of a gas at constant temperature. If the volume of a gas is increased, Boyle's Law predicts that the pressure would decrease, assuming the temperature remains constant. However, since the pressure remains at atmospheric pressure in the given scenario, Boyle's Law does not apply.
Charles's Law states that the volume of a gas is directly proportional to its temperature (in Kelvins) at constant pressure. Since the pressure is constant (atmospheric pressure) and the volume increases, then according to Charles’s Law, the temperature would also have to increase for this situation.
Avogadro's Law indicates that the volume of a gas at constant temperature and pressure is proportional to the number of gas molecules (moles). This law does not seem to apply directly in the given scenario, as there is no information about the change in the number of moles of gas.
Finally, Gay-Lussac's Law states that the pressure of a given mass of gas varies directly with the absolute temperature when the volume is kept constant, which is not the case here since the volume is changing.
Thus, of the gas laws mentioned, Charles's Law is the most relevant to the described situation of a gas expanding at constant atmospheric pressure.