Answer to Question #140862 in General Chemistry for George

Question #140862

A 2.00 g sample of gas fills up a 500 mL cylinder. The molar mass of the gas at SATP?


1
Expert's answer
2020-10-28T08:42:38-0400

Volume of the gas=500mL=500×103L=0.5L=0.5dm3\textsf{Volume of the gas} = \\ 500mL = 500 \times 10^{-3} L = 0.5L = 0.5dm^3


Mass of the gas=2.00g\textsf{Mass of the gas} = 2.00 \, g



1 mole of gas=22.4dm31\textsf{ mole of gas} = 22.4dm^3

xg=22.4dm32g=0.5dm3\begin{aligned} xg &= 22.4dm^3\\ 2g &= 0.5dm^3 \end{aligned}


x=2×22.40.5g=89.6gx = \dfrac{2 \times 22.4}{0.5}g = 89.6g


\therefore the molar mass of the gas at SATP is 89.6g/mol89.6 \, g/mol


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