Analysis of a newly discovered gaseous silicon-fluorine compound shows that it contains 33.01 mass % silicon. At 27°C, 2.60 g of the compound exerts a pressure of 1.50 atm in a 0.250-L vessel. What is the molecular formula of the compound?

Respuesta :

Molecular formula of the compound will be [tex]Si_{2} Fe_{6}[/tex].

Molar mass of silicon fluoride ,

P=1.Satm = 1.5 x 101000 = 151500Pa

V=0.25L=0.25x103[tex]m^{3}[/tex]

T= 27 +273 = 300K

Now, use ideal gas equation.

PV=nRT

Where, P is pressure, n is number of ,moles and T is temperature.

Now, put the value the given data in above equation.

151500x0.25x103=nx8.31x300

n=0.015mol .

Molar mass can be determined by using the formula:

Molar mass = mass/moles

Molar mass = 2.60.015 = 171g/mol

The relation between empirical formula and molecular formula can be written as:

Molecular formula = n ×Empirical formula

Moles of Si= mass of Si / molar mass of Si

=33.01/28

= 1.17mol

Moles of F= 67/19 = 3.52mol

Simple ratio Si= 1.17/1.17=1

Simple ratio F = 3.52/1.17=3

Emp formula =[tex]SiF_{3}[/tex]

Emp formula mass = 28 + (19 x3)= 85

Molecular formula = molecular mass/emp formula mass x emp formula

Molecular formula of the compound  = 171/85 x [tex]SiF_{3}[/tex]=[tex]Si_{2} Fe_{6}[/tex]

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