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1,400L of nitrogen gas at a pressure of 1.25 atm has its pressure changed to 17.5 atm. What will be its new volume at the new pressure? (Note, no temp given for either side, therefore it is 1 on each side)

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olatunbosunadeoke

Answer: 100L

Explanation:

Initial volume of nitrogen V1 = 1,400L

Initial pressure P1 = 1.25 atm

New pressure P2 = 17.5 atm.

New volume V2 = ?

Since, only pressure and volume are involved, apply the formula for Boyle's law

P1V1 = P2V2

1.25atm x 1400L = 17.5atm x V2

1750 = 17.5V2

Divide both sides by 17.5

1750/17.5 = 17.5V2/17.5

100L = V2

Thus, the new volume of nitrogen gas is 100 Liters