A Sample Of Oxygen Gas Has A Volume Of 150 Ml When Its Pressure Is 0.947 Atm.What Will The Volume Of Gas Be At A Pressure Of 0.987 Atm If The Temperat

A sample of oxygen gas has a volume of 150 mL when its pressure is 0.947 atm.what will the volume of gas be at a pressure of 0.987 atm if the temperature does not change

 

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Problem:

A sample of oxygen gas has a volume of 150 mL when its pressure is 0.947 atm.what will the volume of gas be at a pressure of 0.987 atm if the temperature does not change

Given:

P₁ (initial pressure) = 0.947 atm         P₂  (final pressure) = 0.987 atm

V₁ (initial volume)  = 150 mL               V₂ (final volume) = ?

Solution:

This problem can be solve using Boyles Law which states that volume is inversely proportional to pressure when temperature and amount of gas are constant.  When pressure increases, volume decreases.

Formula: P₁V₁ = P₂V₂, to solve V₂, we can use V₂ = P₁V₁/ P₂

V₂ = P₁V₁/ P₂

    = 0.947 atm  × 150 mL / 0.987 atm    (cancel unit atm)

    = 142.05 ml / 0.987

    = 143.92 ml

Answer:

Volume is 143.92 ml


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