# Question #f0c8e

Dec 3, 2014

You will need to use the combined gas law in order to answer this question. The combined gas law is represented by the following equation: $\text{P"_1"V"_1"/T"_1}$ = $\text{P"_2"V"_2"/T"_2}$. $\text{STP}$ is $\text{273K}$ and $\text{760.0 mmHg}$.

Given/Known :
${\text{P}}_{1}$ = $\text{760.0 mmHg}$
${\text{V}}_{1}$ = $\text{125 mL}$
${\text{T}}_{1}$ = $\text{273K}$
${\text{P}}_{2}$ = $\text{275 mmHg}$
${\text{V}}_{2}$ = $\text{425 mL}$

Unknown:
$\text{T"_2}$

Equation:
$\text{P"_1"V"_1"/T"_1}$ = $\text{P"_2"V"_2"/T"_2}$

Solution: Rearrange the equation to isolate ${\text{T}}_{2}$ on one side. Then solve for ${\text{T}}_{2}$.

${\text{T}}_{2}$ = ${\text{P"_2"V"_2"T"_1"/P"_1"V}}_{1}$
${\text{T}}_{2}$ = $\text{(275 mmHg)(425 mL)(273K)/(760.0 mmHg)(125 mL)}$
${\text{T}}_{2}$ = $\text{336K}$

Convert ${\text{T}}_{2}$ from Kelvins to degrees Celsius .
$\text{336K - 273 = 63"^o"C}$