Question

If a 320.0 mL sample of a gas is cooled at constant pressure from 55.0ºC to 30.0ºC, its new volume is _____

Answer 1

Answer:

New volume is 295.61 mL

Explanation:

According Charles's law, at constant pressure the volume of a fixed mass of a gas and its absolute temperature are directly proportional.

Mathematically;

$V\alpha T$

$V=kT$

When the variables are varied then we have a constant equivalent to;

$K=\frac{V1}{T1} =\frac{V2}{T2}$

In this case, we are given;

Initial volume, V1 = 320.0 ML

Initial temperature, T1 = 55 °C or 328 K

New temperature, T2 = 30 °C or 303 K

We are required to calculate the new volume

This can be done by replacing the values of each variable in the equation;

$\frac{V1}{T1} =\frac{V2}{T2}$

we get;

$\frac{320}{328} =\frac{V2}{303}$

$V2 =(\frac{320}{328})(303)$

$V2 = 295.609 mL$

           = 295.61 mL (2 d.p.)

Thus; the new volume is 295.61 mL