An ideal gas in a sealed container has an initial volume of 2.35 L. At constant pressure, it is cooled to 23.00 ∘ C , where its final volume is 1.75 L. What was the initial temperature?

397.5K

Explanation:

Given parameters:

Initial volume = 2.35L

Final temperature = 23°C

Final volume = 1.75L

Unknown:

Initial temperature = ?

Solution:

The Charles's law states that "the volume of a fixed mass(mole) of a gas varies directly as its absolute temperature if the pressure is constant".

Mathematically;

where V₁ is the initial volume

           T₁ is the initial temperature

           V₂ is the final volume

           T₂ is the final temperature

we need to convert  °C to Kelvin;

         23°C; 273 + 23 = 296K

          T₁  = 397.5K

the temperature in kelvin of 2.0 dm3 of an ideal gas is doubled and its pressure is increased by a factor of four. what is the final volume of the gas