Question

a reaction at 12.0 °c evolves 715. mmol of sulfur tetrafluoride gas. calculate the volume of sulfur tetrafluoride gas that is collected. you can assume the pressure in the room is exactly 1 atm. round your answer to 3 significant digits. volume l

Explanation:

Step1: Convert units

Convert temperature to Kelvin: $T=(12.0 + 273.15)K=285.15K$. Convert amount of substance from mmol to mol: $n = 715mmol=715\times10^{-3}mol = 0.715mol$.

Step2: Use ideal gas law

The ideal gas law is $PV=nRT$, where $P = 1atm$, $R=0.0821L\cdot atm/(mol\cdot K)$. We need to solve for $V$, so $V=\frac{nRT}{P}$.
Substitute the values: $V=\frac{0.715mol\times0.0821L\cdot atm/(mol\cdot K)\times285.15K}{1atm}$.
First, calculate $0.715\times0.0821\times285.15$:
$0.715\times0.0821 = 0.0587015$; $0.0587015\times285.15\approx16.7$.

Answer:

$16.7L$