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A sample of hydrogen (H2) gas is contained in a cylinder with a moveable piston at an initial pressure P1. The volume of the sample is increased from 3.0L to 6.0L while the temperature is held constant, as shown in the diagram below. What is the final pressure


of the cylinder? *
(P1)/6
(P1)/2
P1
2P1

A sample of hydrogen H2 gas is contained in a cylinder with a moveable piston at an initial pressure P1 The volume of the sample is increased from 30L to 60L wh class=

Respuesta :

The final pressure of the cylinder is (P1)/2. The correct option is the second option (P1)/2

From Boyle's law

The volume of a fixed mass of gas is inversely proportional to its pressure, provided that the temperature remains constant.

According to  Boyle's equation, we have

P₁V₁ = P₂V₂

Where P₁ is the initial pressure

V₁ is the initial volume

P₂ is the final pressure

and V₂ is the final volume

From the question

P₁ = P1

V₁ = 3.0 L

V₂ = 6.0 L

Plug the parameters into the equation to get

P1 × 3.0 = P₂ × 6.0

∴ [tex]P_{2} = \frac{P1 \times 3.0}{6.0}[/tex]

Then,

[tex]P_{2} = \frac{P1 }{2}[/tex]

P₂ = (P1)/2

Hence, the final pressure of the cylinder is (P1)/2. The correct option is the second option (P1)/2

Learn more here: https://brainly.com/question/15592945

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