Question

Which expression can be used to calculate the molar mass of an ideal gas? mRT + PV mRT ÷ PV PV ÷ mRT PV × mRT

Answer 1

mRT / PV

Step-by-step explanation:

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Answer 2

mRT ÷ PV

Explanation

Ideal gas equation is

`\begin{gathered} PV=nRT \\ \\ Note,\text{ }n=(m)/(M);\text{ }where\text{ }m\text{ }is\text{ }the\text{ }mass\text{ }and\text{ }M\text{ }is\text{ }the\text{ }molar\text{ }mass \\ \\ So,PV=(mRT)/(M) \\ \\ Cross\text{ }multiply \\ \\ MPV=mRT \\ \\ Diveide\text{ }both\text{ }sides\text{ }by\text{ }PV \\ \\ (MPV)/(PV)=(mRT)/(PV) \\ \\ M=(mRT)/(PV) \\ \\ \Rightarrow M=mRT/ PV \end{gathered}`

Therefore, the expression which can be used to calculate the molar mass of an ideal gas is mRT ÷ PV