What volume will 5.6 moles of sulfur hexafluoride (SF₆) gas occupy if the temperature and pressure of the gas are 128°C and 9.4 atm?
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What volume will 5.6 moles of sulfur hexafluoride (SF₆) gas occupy if the temperature and pressure of the gas are 128°C and 9.4 atm?
Verified answer
SOLUTION:
Step 1: List the given values.
[tex]\begin{aligned} & P = \text{9.4 atm} \\ & n = \text{5.6 mol} \\ & T = 128^{\circ}\text{C} = \text{401.15 K} \end{aligned}[/tex]
Step 2: Solve for the volume of the gas by using ideal gas equation.
[tex]\begin{aligned} V & = \frac{nRT}{P} \\ & = \frac{(\text{5.6 mol})\left(0.082057 \: \dfrac{\text{L}\cdot\text{atm}}{\text{mol}\cdot\text{K}}\right)(\text{401.15 K})}{\text{9.4 atm}} \\ & = \boxed{\text{19.6 L}} \end{aligned}[/tex]
Hence, the volume of the gas is 19.6 L.
[tex]\\[/tex]
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