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Applying Boyles Law to Gas Problems

Problem: A gas sample at a pressure of 1.23 atm has a volume of

    • 15.8

      cm3, what will be the volume in L if the pressure is increased to

    • 3.16

      atm?

Plan: We begin by converting the volume that is in cm3 to mL and then to liters, then we do the pressure change to obtain the final volume!

Solution:

1 P = 1.23 atm

2 P = 3.16 atm

1 V = 15.8 cm3

2 V = unknown

V1 (cm3) 1cm3 = 1 mL

T and n remain constant

1 mL V1 = 15.8 cm3 x 1 cm3

x

1L 1000mL

= 0.0158 L

V1 (ml) 1000mL = 1L V1 (L)

P

1

P

2

V2 = V1 x

= 0.0158 L x

    • 1.23

      atm

    • 3.16

      atm

= 0.00615 L

x P1/P2 V2 (L)

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