Answer to Question #335809 in Chemistry for shimmy

Question #335809

1. My grandmother was hospitalized at the Community Hospital due to difficulty in breathing. The nurse supported her breathing with the aid of oxygen gas. The nurse noted that the tank of oxygen gas has a volume of 14.0L and a pressure of 1 atm. Find the volume of the oxygen when its pressure is changed to 1.2 atm while the temperature is held constant.

Given: V1=14.0 L, P1= 1.0 atm, P2= 1.2 atm




1
Expert's answer
2022-05-02T17:03:06-0400

Given:

P1 = 1 atm

V1 = 14.0 L

T1 = T2 = constant

P2 = 1.2 atm

V2 = unknown


Formula: P1V1 = P2V2


Solution:

Since the temperature and amount of gas remain unchanged, Boyle's law can be used.

Boyle's gas law can be expressed as: P1V1 = P2V2

To find the volume of the oxygen, solve the equation for V2:

V2 = P1V1 / P2

V2 = (1 atm × 14.0 L) / (1.2 atm) = 11.667 L = 11.7 L

V2 = 11.7 L


Answer: The volume of the oxygen is 11.7 liters

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