By what factor does the pressure change if:

  • the temperature rises from 0 to 100 degrees Celsius,
  • and the volume is doubled?

$$ \pu{0 °C} = \pu{273.2 K}\\ \pu{100 °C} = \pu{373.2 K} $$

Assuming $pV = nRT$:

Since pressure is proportional to temperature, neglecting the change in volume, the pressure would increase by a factor of $$\frac{373.2}{273.2} = 1.366\ .$$

Now since the volume is doubled as well, can I simply conclude that the pressure increases by a factor of $$\frac{1.366}{2} = 0.683\ ?$$

This is a task from a introduction to gases, I've mainly used the ideal gas law $pV = nRT$, but I wanna make sure my logic isn't flawed from the beginning.

  • 5
    $\begingroup$ This seems fine. $\endgroup$ – Zhe Oct 12 '17 at 18:11
  • 1
    $\begingroup$ Cool! Appreciate the assistance $\endgroup$ – novo Oct 12 '17 at 18:28

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