xenon tetrafluoride gas is placed in a 3 liter container at 80°c. the pressure of the gas is found to be…

xenon tetrafluoride gas is placed in a 3 liter container at 80°c. the pressure of the gas is found to be 0.117 atm. how many moles of the gas are in the container?\n0.0121 mol\n0.0534 mol\n18.700 mol\n82.517 mol

xenon tetrafluoride gas is placed in a 3 liter container at 80°c. the pressure of the gas is found to be 0.117 atm. how many moles of the gas are in the container?\n0.0121 mol\n0.0534 mol\n18.700 mol\n82.517 mol

Answer

Explanation:

Step1: Convert temperature to Kelvin

$T = 80 + 273.15=353.15\ K$

Step2: Recall ideal - gas law

The ideal - gas law is $PV = nRT$, where $P$ is pressure, $V$ is volume, $n$ is the number of moles, $R$ is the ideal - gas constant ($R = 0.0821\ L\cdot atm/(mol\cdot K)$), and $T$ is temperature. We need to solve for $n$.

Step3: Rearrange the ideal - gas law for $n$

$n=\frac{PV}{RT}$

Step4: Substitute the given values

$P = 0.117\ atm$, $V = 3\ L$, $R = 0.0821\ L\cdot atm/(mol\cdot K)$, $T = 353.15\ K$ $n=\frac{0.117\ atm\times3\ L}{0.0821\ L\cdot atm/(mol\cdot K)\times353.15\ K}$ $n=\frac{0.351}{29.093615}\ mol\approx0.0121\ mol$

Answer:

0.0121 mol