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Thirty moles of helium (Mr = 4) occupy a volume of 0.20 m3 at a pressure...

Thirty moles of helium (Mr = 4) occupy a volume of 0.20 m3 at a pressure of 4.0 × 105 Pa. If the volume is halved and the temperature is increased by 40 K, what is the new pressure of the gas?

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Answer #1

To describe the behaviour of Helium at various conditions, we can use the ideal Gas Law

where is the universal gas constant, equal to in SI units.

When the conditions are changed, the temperature is said to be increased by from the original temperature.

However, we do not know the original temperature, so we use the ideal gas relation temperature to find it.

Thus, the final temperature is

The final volume occupied is

Rearranging the equation for pressure, we get

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