# A container with a volume of 18 L contains a gas with a temperature of 270^o C. If the temperature of the gas changes to 150 ^o K without any change in pressure, what must the container's new volume be?

Mar 11, 2018

Applying Charle's law for constant pressure and mass,we can say,

$\frac{V}{T} = k$(constant)

Initially,we have $V = 18 L$ and $T = \left(270 + 273\right) = 543 K$

So, $k = \frac{18}{543}$

And,after changing the temperature to $150 K$ if volume becomes $V$ then,

$\frac{V}{150} = k = \frac{18}{543}$

So, V=(150×18)/543=4.96L