# Question #3188c

Mar 19, 2017

Using Charles Law, ${V}_{1} / {T}_{1} = {V}_{2} / {T}_{2}$, the answer is 3.05 L.

#### Explanation:

Charles law is ${V}_{1} / {T}_{1} = {V}_{2} / {T}_{2}$
first convert the temperatures to kelvin by adding 273.
22 + 273 = 295
3.5 + 273 = 276.5

substitute:
295 for ${T}_{1}$
3.25 for ${V}_{1}$
276.5 for ${T}_{2}$

$\frac{3.25}{295} = {V}_{2} / 276.5$

solve for ${V}_{2}$ (by multiplying both sides by 276.5) and the answer is 3.05 L.

Note: you can only use Charles law when the other factors, pressure and moles, are constant. If everything is changing, use the combined gas law, $\frac{{P}_{1} {V}_{1}}{T} _ 1 = \frac{{P}_{2} {V}_{2}}{T} _ 2$