Question

Under which conditions will the volume of a gas be greatest?(1 point)
Responses

T = 273K and P = 0.25 atm
T = 273K and P = 0.25 atm

T = 300K and P = 2 atm
T = 300K and P = 2 atm

T = 300K and P = 0.25 atm
T = 300K and P = 0.25 atm

T = 273K and P = 2 atm

Answer 1

To determine under which conditions the volume of a gas will be greatest, we can refer to the Ideal Gas Law, which is expressed as:

\[ PV = nRT \]

Where:
- \( P \) = pressure
- \( V \) = volume
- \( n \) = number of moles of gas (constant for this comparison)
- \( R \) = ideal gas constant
- \( T \) = temperature in Kelvin

From the equation, we see that volume \( V \) is directly proportional to temperature \( T \) and inversely proportional to pressure \( P \).

To maximize the volume:

1. **Increase temperature \( T \)**: Higher temperature means greater kinetic energy of the gas molecules, leading to an increase in volume.
2. **Decrease pressure \( P \)**: Lower pressure allows the gas to expand more, increasing the volume.

Now, evaluating the provided conditions:

1. **T = 273K and P = 0.25 atm**: This condition has low pressure and moderate temperature.
2. **T = 300K and P = 2 atm**: High temperature but also high pressure, which will reduce the volume.
3. **T = 300K and P = 0.25 atm**: This has high temperature and low pressure, likely maximizing volume.
4. **T = 273K and P = 2 atm**: Moderate temperature with high pressure, leading to a reduced volume.

Among these conditions, the combination of **T = 300K and P = 0.25 atm** will give the greatest volume.

Thus, the correct response is:

**T = 300K and P = 0.25 atm**.