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The gas constant is 8.31446 J middot mol^-1middot K^-1. (1 J = 1 Pa middot m^3)

ID: 1072296 • Letter: T

Question

The gas constant is 8.31446 J middot mol^-1middot K^-1. (1 J = 1 Pa middot m^3) At a temperature of 54 degree C and a pressure of 109816 Pa, a certain compound is in the gaseous state. Under these conditions a volume of 0.320 L of this compound weighs 0.5697 g. The molar mass (molecular weight) of this compound is: 5.3 g middot mol^-1 7.3 g middot mol^-1 14.1 g middot mol^-1 44.1 g middot mol^-1 48.4 g middot mol^-1 53.0 g middot mol^-1 73.6 g middot mol^-1 134.8 g middot mol^-1 None of the above; the correct molar mass is g middot mol^-1

Explanation / Answer

option I -----none of teh above

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At a temperature of 54 c and a pressure of 109816 pa a certain compound is in the gaseous state . under these conditions a volume of 0.320l of this compound weighs 0.5697 g. the molar mass of this compound

54+237=291 K

PV=n   RT

109816 Pa=1.083 atm

Number of moles =WEIGHT /molecular weight

PV= (WEIGHT /molecular weight ) RT

molecular weight = WEIGHT * RT / PV

molecular weight = 0.5697 *8.31 *291/ 109816*0.320

0.039 grams/mol-------answer

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