Calculate the density of methane at 27,^oC an | vedclass

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(C) The ideal gas equation is given by $PM = dRT$,where $P$ is pressure,$M$ is molar mass,$d$ is density,$R$ is the gas constant,and $T$ is temperatur

Vedclass · Accepted Answer

$1.30$

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(C) The ideal gas equation is given by $PM = dRT$,where $P$ is pressure,$M$ is molar mass,$d$ is density,$R$ is the gas constant,and $T$ is temperature.Given: $P = 2.0\, atm$,$T = 27 + 273 = 300\, K$,$M$ (for $CH_4$) $= 16\, g\, mol^{-1}$,and $R = 0.0821\, L\, atm\, K^{-1}\, mol^{-1}$.Substituting the values: $d = \frac{PM}{RT} = \frac{2.0 	imes 16}{0.0821 	imes 300}$.$d = \frac{32}{24.63} \approx 1.30\, g\, L^{-1}$.

Calculate the density of methane at $27\,^oC$ and $2.0\, atm$ pressure in $g\, L^{-1}$.

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