A certain gas is present in a 14.0 L cylinder at 1.0 atm pressure. If the pressu

Question

A certain gas is present in a 14.0 L cylinder at 1.0 atm pressure. If the pressure is increased to 2.0 atm , the volume of the gas decreases to 7.0 L . Find the two constants ki, the initial value of k, and kf, the final value of k, to verify whether the gas obeys Boyle’s law. Express your answers to two significant figures separated by a comma.

If a certain gas occupies a volume of 19 L when the applied pressure is 9.5 atm , find the pressure when the gas occupies a volume of 4.8 L . Express your answer to two significant figures, and include the appropriate units.

Explanation / Answer

1)

Boyle's law constant :

k = P V

Ki = 14.0 x 1 = 14.0

Kf = 7.0 x 2 = 14.

here

Ki = Kf = 14 L.atm

answer : 14 , 14

2)

volume V1 = 19 L

pressure = 9.5 atm

volume V2 = 4.8 L

P1 V1 = P2 V2

9.5 x 19 = P2 x 4.8

P2 = 37.6 atm

pressure = 38 atm

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