Calculate the mass of sulfur hexafluoride in a 2.00 L container at a pressure of 4.00 atm and a temperature of 78.0 $\omicron $ C .
The molar mass of sulfur hexafluoride is 146.1 g.mol -1 .
A) 0.401 g
B) 40.6 g
C) 73.1 g
D) 36.6 g
E) 183 g

Question

Quizplus · Accepted Answer

First, convert the temperature from Fahrenheit to Celsius, then to Kelvin:$$T(°C) = (78°F - 32) \times \frac{5}{9} = 25.56°C$$$$T(K) = 25.56°C + 273.15 = 298.71K$$Use the ideal gas law: $PV = nRT$, where $P = 4.00 \, \text{atm}$, $V = 2.00 \, \text{L}$, $R = 0.0821 \, \text{L atm mol}^{-1} \text{K}^{-1}$, and $T = 298.71 \, \text{K}$.Solve for $n$ (moles of gas):$$n = \frac{PV}{RT} = \frac{4.00 \, \text{atm} \times 2.00 \, \text{L}}{0.0821 \, \text{L atm mol}^{-1} \text{K}^{-1} \times 298.71 \, \text{K}} = 0.328 \, \text{moles}$$Calculate the mass of sulfur hexafluoride ($SF_6$) using its molar mass (146.1 g/mol):$$mass = n \times \text{molar mass} = 0.328 \, \text{moles} \times 146.1 \, \text{g/mol} = 47.9 \, \text{g}$$The correct answer is not listed, indicating a possible mistake in calculation or interpretation of the choices. Given the calculations, the closest provided option is B) 40.6 g, but it's important to note the discrepancy.

Calculate the Mass of Sulfur Hexafluoride in a 2 ο\omicron ο

Calculate the Mass of Sulfur Hexafluoride in a 2 $\omicron$