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Answer (1)
Answer:Understanding Charles' Law: Charles' Law states that the volume of a gas is directly proportional to its absolute temperature when the pressure is held constant. This means if the temperature increases, the volume increases proportionally, and vice-versa. The formula is: V₁/T₁ = V₂/T₂ Where: - V₁ = initial volume - T₁ = initial temperature (in Kelvin) - V₂ = final volume - T₂ = final temperature (in Kelvin) Solving the Problem: Convert Celsius to Kelvin: Remember to always use Kelvin in gas law calculations. To convert from Celsius to Kelvin, add 273.15. - T₁ = 20°C + 273.15 = 293.15 K - T₂ = 60°C + 273.15 = 333.15 K Plug values into the formula: - 500 mL / 293.15 K = V₂ / 333.15 K Solve for V₂: - V₂ = (500 mL * 333.15 K) / 293.15 K - V₂ ≈ 568.4 mL Answer: The new volume of the air inside the bottle will be approximately 568.4 mL.
