Deduce Total Pressure on Mixing of Gases

240207 question

When we have a few gases at different volumes and pressures, it is less straight forward to find the final pressure.

We can start with summing up the number of moles, since we know that the moles of gases in bulbs R and S will add up to the total moles of gas in the final mixture.

240207 total moles

We can use the ideal gas equation and write the terms in terms of moles.

240207 ideal gas equation

We can then substitute moles of R, S and total moles in terms of pressure, volume, gas constant R and temperature.

Since R and temperature are constant, these terms can cancel to give an expression in terms of pressure and volume.

We can then determine total pressure to be 125 kPa.

240207 calculation

Hence answer to this question is option D.

240207 answer

We can memorise the following formula to determine final pressure when 2 gases with different pressure and volume are mixed together under constant temperature.

240207 formula

Topic: Gaseous State, Physical Chemistry, A Level Chemistry, Singapore

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