a 2.7 L of N2 is collected at 121kpa and 288 K . if the pressure increases to 202 kpa and the temperature rises to 303 K , what volume will the gas occupy?

The gas will occupy a volume of 1.702 liters.

Explanation:

Let suppose that the gas behaves ideally. The equation of state for ideal gas is:

(1)

Where:

- Pressure, measured in kilopascals.

- Volume, measured in liters.

- Molar quantity, measured in moles.

- Temperature, measured in Kelvin.

- Ideal gas constant, measured in kilopascal-liters per mole-Kelvin.

We can simplify the equation by constructing the following relationship:

(2)

Where:

, - Initial and final pressure, measured in kilopascals.

, - Initial and final volume, measured in liters.

, - Initial and final temperature, measured in Kelvin.

If we know that , , , and , the final volume of the gas is:

The gas will occupy a volume of 1.702 liters.

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