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Question

A 19.6 g of a given gaseous sample contains 2.8 g of molecules (d=0.75 g L1), 11.2 g of molecules (d=3 g L1) and 5.6 g of molecules (d=1.5 g L1). All density measurements are made at STP. The total number of molecules (N) present in the given sample is ____ ×1023 .

[Take Avogardro's number as 6×1023]

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Solution

Total weight =19.6g

a. 2.8 g of molecules, d=0.765 g L1

Volume =Massd=2.80.75L at STP

1mol22.4L at STP

Moles =2.80.75×122.4

Molecules =2.80.75×122.4×6×1023=1×1023
b. 11.2 g molecules, d=3gL1

Molecules =1×1023
c. 5.6 g molecules, d=1.5gL1

Molecules =1×1023

Total number of molecules present in the given sample is =3×1023.

Hence, the answer is 3.

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