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Q.

A hydrocarbon contains 85. 7% C. If 42 mg of the compound contains 3.01 x 1020 molecules, the molecular formula of the compound will be:

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answer is 2.

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Detailed Solution

Given 3.01 x  1020 molecules weigh  42 x  10–3 g6.02 x  1023 molecules weigh  ‘X’ gX  =   84 g∴ Molar mass of Hydrocarbon is 84 gramsBy Inspection :Molar mass of   C6H12=612  +  121g                                                  = 84 gAlternate Method:–                                           C              :        HMass Ratio                  85.7                      14.3Gram atom ratio        85.712                    14.31Gram atom ratio          7.14                     14.3Gram atom ratio          7.147.14=1            14.37.14=2Empirical formula of Hydrocarbon = CH2EFW = [12 + 2(1)]g  =  14gMFW = 84gNumber of EF in a given MF =  MFWEFW=8414=6 ∴     MF  =   CH26=C6H12
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