According to Boyle's Law, reducing the pressure would cause the volume to increase. Therefore, the correct option is
e. reducing the pressure from 608 torr to 0.40 atm at constant temperature.
How to determine which option would allow the volume of the ideal gas to increase from 100 mL to 200 mL
To determine which option would allow the volume of the ideal gas to increase from 100 mL to 200 mL, consider the gas laws and their relationships between pressure, temperature, and volume.
According to Boyle's Law, the volume of a gas is inversely proportional to its pressure when temperature is held constant. Mathematically, it can be expressed as:
P₁V₁ = P₂V₂
where P₁ and V₁ are the initial pressure and volume, and P₂ and V₂ are the final pressure and volume.
Let's analyze the given options:
a. increasing the temperature from 25°C to 50°C at constant pressure.
This option does not involve any changes in volume or pressure. Therefore, it is not the correct choice.
b. increasing the pressure from 1.00 atm to 2.00 atm at constant temperature.
According to Boyle's Law, increasing the pressure would cause the volume to decrease, not increase. Therefore, it is not the correct choice.
c. reducing the temperature from 400 K to 200 K.
This option does not involve any changes in volume or pressure. Therefore, it is not the correct choice.
d. reducing the pressure from 760 torr to 600 torr while increasing the temperature from 25°C to 100°C.
This option involves a decrease in pressure and an increase in temperature. To determine if the volume would increase, we need to consider the combined gas law, which incorporates Boyle's Law, Charles's Law, and Gay-Lussac's Law. However, without knowing the initial and final temperatures, we cannot determine if the volume would increase or decrease. Therefore, this option is not the correct choice.
e. reducing the pressure from 608 torr to 0.40 atm at constant temperature.
According to Boyle's Law, reducing the pressure would cause the volume to increase. Therefore, this option is the correct choice.
In conclusion, the correct option is:
e. reducing the pressure from 608 torr to 0.40 atm at constant temperature.