Respuesta :
The new volume of the gas given the data from the question is 424 mL
Data obtained from the question
The following data were obtained from the question:
- Initial pressure (P₁) = 679 torr
- Initial volume (V₁) = 554 mL
- Temperature = constant
- New pressure (P₂) = 887 torr
- New volume (V₂) =?
How to determine the new volume
P₁V₁ / T₁ = P₂V₂ / T₂
Since the temperature is constant, we shall apply the Boyle's law equation to obtain the new volume. Detail below
P₁V₁ = P₂V₂
679 × 554 = 887 × V₂
Divide both sides by 887
V₂ = (679 × 554) / 887
V₂ = 424 mL
Thus, the new volume of the gas is 424 mL
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The volume of the gas sample will be 424 mL
General gas equation
The general gas equation is mathematically expressed as:
p1v1/t1 = p2v2/t2
Where p1 and p2 = initial and final pressure, v1 and v2 = initial and final volume, and t1 and t2 = initial and final temperatures.
In this case, p1 = 679 torr, v1 = 554 mL, t1 = t2 = 25.3 °C = 298.3 K, p2 = 887 torr
Substituting these values into the general gas equation to get the final volume of the gas. We have:
v2 = p1v1t2/t1p2 = 679 x 554/ 887 = 424 mL
Therefore, the new volume of the gas is 424 mL.
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