A container of oxygen has a volume of 30.0 mL and a pressure of 5,00,000 Pa. if the pressure of oxygen gas is reduced to 28 psi and the temperature is kept constant, what is the new volume of oxygen gas? (Boyle's Law)
Answers
Answer:
Boyle’s Law (sometimes referred to as the Boyle-Mariotte Law) states that the absolute pressure and volume of a given mass of confined gas are inversely proportional, provided the temperature remains unchanged within a closed system. This can be stated mathematically as follows:
[latex]P_1V_1=P_2V_2[/latex]
The new volume of oxygen gas is 77.7 mL
Given,
The initial volume of the container = 30 mL
The initial pressure of the container = 500000 Pa
The pressure of the container = 28 psi = 193053 Pa
To Find,
The new volume of oxygen gas in the container
Solution,
We can solve this using Boyle's law.
Boyle's law states that "the volume of a gas at constant temperature varies inversely with the pressure exerted on it"
Mathematically, it can be expressed as P1 x V1 = P2 x V2
Given, P1 = 500000 Pa
P2 = 193053 Pa
V1 = 30 mL
V2 = (P1 x V1)/P2
⇒ V2 = (500000 x 30)/193053
⇒ V2 =77.69887
⇒ V2 ≈ 77.7 mL
therefore, the new volume of oxygen gas is 77.7 mL
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