Question on: JAMB Physics - 2024

A mass of gas at 40 mmHg is heated from 298 K to 348 K at constant volume. Calculate the pressure exerted by the gas.

A

50.21 mmHg

B

46.71 mmHg

C

42.35 mmHg

D

35.12 mmHg

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Correct Option: B

Here's how to solve the problem using Gay-Lussac's Law (pressure-temperature relationship) for a constant volume:

  1. Identify the Knowns:
    • Initial pressure, P₁ = 40 mmHg
    • Initial temperature, T₁ = 298 K
    • Final temperature, T₂ = 348 K
  2. Identify the Unknown:
    • Final pressure, P₂ = ?
  3. Apply Gay-Lussac's Law:
    • The formula is: P₁/T₁ = P₂/T₂
  4. Solve for P₂:
    • P₂ = (P₁ * T₂) / T₁
    • P₂ = (40 mmHg * 348 K) / 298 K
    • P₂ ≈ 46.71 mmHg

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