Ideal Gas Behavior: A Fun Exploration

What pressure would the gas exert if the volume was decreased?

Based on the data, what would be the new pressure of the gas if the volume was decreased from 3.50 L to 2.0 L?

Answer:

The gas exerts a pressure of 218.75 kPa if the volume was decreased to 2.0L.

Carbon dioxide is a gas with chemical formula CO2. In this scenario, the original volume of CO2 was 3.50 L, and the original pressure was 125 kPa. When the volume decreased to 2.0 L, the pressure exerted by the gas became 218.75 kPa.

Ideal Gas Behavior:

Given that the initial volume of the carbon dioxide gas is V = 3.5L and the initial pressure is P = 125 kPa, the volume was decreased to 2.0L. Let the final pressure of the gas be P'. Considering the behavior of the gas to be ideal, from the ideal gas equation (PV = P'V'), we can calculate the final pressure as follows:

125×3.5 = P'×2

P' = 218.75 kPa

Therefore, the final pressure of the gas is 218.75 kPa, following ideal gas behavior.

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