Question

4) Why does ideal gas behavior imply that any gas's density in g/L is related to its molar mass? Use complete sentences in your answer. A mathematical derivation is not necessary. 5) It was found that argon effused through a membrane in 24 hours, and an unknown gas diffused through the same membrane in 41.8 hours. What was the molecular weight of the gas?

Answer 1

(4 For an Ldeal gas we can urite - |P= Pissure of Hee V Volume o the nno of mol. of he W Mass f the gas(a) MMola mass of thegas (af ms) T-temperature CK) PV=nRT (L) OY PV= MRT or P=W RT VM Or P-d RT da dusity Ca/ Univensal s RT Constant (Lau mol doc M e, at a constont Pressure and temporalire the Aensity of an ideal gas is diaAly pnportional b molar massdso, for an the densityal) f the gas is reladted to ts molar mas. icdoal V(%) 24 The rate ofeffusion of Ar of the Unusnown gas sinilarly, the rate of VE Volume ofAr -41. h fo the Graham's Law of effusion - Now acconling TAT Mu MAY M-Molanmass 1 V 24 Mu Molar mass ofAr (MAr) = 39.948 gm 39.948 A1.8 Mu 391948 4l 8 24 Mu 39.948 = 3.033 - 3.033x 39.948) =121-16 Or MU The mola mass f the eu Knoon gas is 121-16 a/mol