How to Calculate the New Pressure Inside a Syringe When Volume is Expanded?

What is the new pressure inside the syringe when the volume is expanded from 89.6 ml to 215 ml at constant temperature?

The new pressure inside the syringe will be 1.25 atm.

Gas Law Calculation:

Gas Law: At constant temperatures, the volume of a gas is inversely proportional to its pressure. This is represented by the formula P1V1 = P2V2.

Given data:

  • P1 = 3.0 atm
  • V1 = 89.6 mL
  • V2 = 215 mL

Using the gas law formula, we can calculate the new pressure P2:

P2 = P1V1/V2

P2 = 3 x 89.6 / 215

P2 = 1.25 atm

Conclusion:

Therefore, when the syringe is expanded to a volume of 215 ml, the new pressure inside the syringe will be 1.25 atm.

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