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A 600ml sample of gas is heated from 27°C to 77°C at constant pressure. What is its finalvolume

Question

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Solution

To solve this problem, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature, provided the pressure and the amount of gas remain constant. The formula for Charles's Law is V1/T1 = V2/T2, where:

  • V1 is the initial volume
  • T1 is the initial temperature
  • V2 is the final volume
  • T2 is the final temperature

Here's how to solve the problem step by step:

  1. Convert all temperatures from Celsius to Kelvin. The formula to convert Celsius to Kelvin is K = °C + 273.15. So, T1 = 27°C + 273.15 = 300.15 K and T2 = 77°C + 273.15 = 350.15 K.

  2. Plug the known values into Charles's Law formula. So, (600 ml / 300.15 K) = V2 / 350.15 K.

  3. Solve for V2. Cross-multiply to get V2 = (600 ml / 300.15 K) * 350.15 K.

  4. Calculate V2. V2 = 700 ml (rounded to the nearest whole number).

So, the final volume of the gas when it is heated from 27°C to 77°C at constant pressure is approximately 700 ml.

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