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Question
Solve the following.
A syringe has a volume of 10.0 cm3 at pressure 1 atm. If you plug the end so that no gas can escape and push the plunger down, what must be the final volume to change the pressure to 3.5 atm?
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Solution
Given:
P1 = Initial pressure = 1 atm
V1 = Initial volume = 10.0 cm3
P2 = Final pressure = 3.5 atm
To find: V2 = Final volume
Formula: P1V1 = P2V2 (at constant n and T)
Calculation:
According to Boyle’s law,
P1V1 = P2V2 (at constant n and T)
∴ V2 = `("P"_1"V"_1)/"P"_2=(1xx10.0)/3.5`
= 2.857 cm3
The final volume of the gas in the syringe is 2.857 cm3.
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