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4 May, 14:32

A sample of hydrogen gas in a flask of volume 25.0 mL has a pressure of 487.3 mm Hg at 20.5 o C. This sample is transferred into a flask of unknown volume. The pressure is measured to be 99.7 mm Hg and the temperature is raised to 24.5 o C in the new flask. What is the volume of the new flask

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  1. 4 May, 14:58
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    124 mL is the volume for the new flask

    Explanation:

    We can apply the Ideal Gases law for both situations where the volume of Hydrogen remains constant.

    The formula is P. V = n. R. T

    We despise n because, as we said the moles remain constant and R, because it is a value that never changes.

    (P₁. V₁) / T₁ = (P₂. V₂) / T₂

    Let's do unit's conversion:

    20°C + 273 = 293K 487.3 mmHg. 1 atm / 760mmHg = 0.641 atm

    24.5°C + 273 = 297.5K 99.7 mmHg. 1 atm / 760mmHg = 0.131 atm

    25mL. 1L / 1000mL = 0.025L

    We replace dа ta:

    (0.641 atm. 0.025L) / 293K = (0.131 atm. V₂) / 297.5K

    [ (0.641 atm. 0.025L) / 293K]. 297.5K = 0.131 atm. V₂

    0.0163 atm. L = 0.131 atm. V₂

    V₂ = 0.0163 atm. L / 0.131 atm → 0.124L

    We convert volume to mL → 0.124 L. 1000mL / 1L = 124 mL
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