5.00 L of a gas is collected at 100 K and then allowed to expand to 50.0 L. What is the new temperature in order to maintain the same pressure?
The answer is
According to Charles' law, the volume of a gas is proportional to its temeprature (in
Before doing any calculations, one should try and predict what the answer could look like. Now, since the volume increases by a factor of 10, we should expect the temperature to increase significantly in order to compensate for the larger volume - in the scope of keeping the pressure constant. Indeed,
Since volume and temperature are proportional to each other, the increase in temperature must match the increase in volume.