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9.60 g of a gas X occupies the same volume at 0.30 g of h...

9.60 g of a gas X occupies the same volume at 0.30 g of hydrogen under the same conditions. Calculate the molar mass of X [H = 1]

A.

8g mol -1

B.

16 gmol -1

C.

32g mol -1

D.

64g mol -1

Correct answer is C

Using the ideal gas equation, 

PV = nRT.

where n=massmolar mass.

For Hydrogen, mHMH=PVRT.

For element X, mXMX=PVRT

Under the same conditions implies PVRT is the same for both hydrogen and X.

mHMH=mXMX

Molar mass of X = molar mass of hydrogen×mass of Xmass of hydrogen

= 1×9.60.3

= 32 g/mol