24. What would happen to the volume of a balloon filled with 0.357L of
H2 gas collected at 741.3 mm Hg if the atmospheric pressure increased
to 758.1 mm Hg?
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Answer:
The volume of a balloon with H₂ gas decreases by 8mL when atmospheric pressure changes from 741.3 mmHg to 758.1 mmHg.
Explanation:
Given,
Initial volume, V₁ = 0.357L
Initial Pressure, P₁ = 741.3 mmHg
Final Pressure, P₂ = 758.1 mmHg
We have to find the volume of the balloon, V₂ at 758.1 mmHg,
Boyle's Law gives the relation,
P₁V₁ = P₂V₂
Rearranging the equation,
V₂ = P₁V₁ / P₂
Substituting the values of P₁, V₁, and P₂
V₂ = 741.3×0.357 / 758.1 = 0.349L
V₁ - V₂ = 0.357L - 0.349L = 8mL
Hence, the volume decreases by 8mL
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