Answer to Question #140862 in General Chemistry for George

Question

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

Answer 1

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

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

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

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

$x = \dfrac{2 \times 22.4}{0.5}g = 89.6g$

$\therefore$ the molar mass of the gas at SATP is $89.6 \, g/mol$