The original volume of the sample of hydrogen is 250 mL. The correct option is the fourth option 250mL
From the question,
We are to determine the original volume of the hydrogen.
To do this,
We will use the Boyle's law formula
Boyle's law states that "the volume of a fixed mass of gas is inversely proportional to its pressure, provided that the temperature remains constant."
From Boyle's law we have that
P₁V₁ = P₂V₂
Where P₁ is the initial pressure
V₁ in the initial volume
P₂ is the final pressure
and V₂ is the final volume
From the question,
P₁ = 1.5 atm
P₂ = 0.50 atm
V₂ = 750 mL
Put the above parameters into the Boyle's law equation
P₁V₁ = P₂V₂
Then, we get
1.5 × V₁ = 0.50 × 750
1.5 × V₁ = 375
∴ V₁ = 375 ÷ 1.5
V₁ = 250 mL
Hence, the original volume of the sample of hydrogen is 250 mL. The correct option is the fourth option 250mL
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