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A newly discovered has has a density of 2.39 g/L at 23 deg C. and 715 mm Hg. What is the molar mass of the gas? ​

Sagot :

SOLUTION:

Step 1: List the given values.

[tex]\begin{aligned} P & = \text{715 mmHg = 0.94079 atm} \\ T & = 23^{\circ}\text{C} = \text{296.15 K} \\ d & = \text{2.39 g/L} \end{aligned}[/tex]

Step 2: Calculate the molar mass of a gas.

[tex]\begin{aligned} \text{MM} & = \frac{dRT}{P} \\ & = \frac{(\text{2.39 g/L})\left(0.082057 \: \dfrac{\text{L}\cdot\text{atm}}{\text{mol}\cdot\text{K}}\right)(\text{296.15 K})}{\text{0.94079 atm}} \\ & = \boxed{\text{61.7 g/mol}} \end{aligned}[/tex]

Hence, the molar mass of the gas is 61.7 g/mol.

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Note: Kindly swipe the screen to the left to see the continuation on the right.

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