Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
Which of the following contain same number of molecules? 0.1 mol of\[C{{O}_{2}}\] 3.2g of\[{{O}_{2}}\] 0.1 g-atom of helium gas 11.2L of\[S{{O}_{2}}\]A) 1, 2 and 3 are correct
B) 1 and 2 are correct
C) 2 and 4 are correct
D) 1 and 3 are correct
Correct Answer: A
Solution :
1. Number of molecules in 0.1 mole of\[C{{O}_{2}}\] \[=0.1\times {{N}_{A}}=0.1{{N}_{A}}\] 2. Number of molecules in 3.2 g of \[{{O}_{2}}\] \[=\frac{3.2}{32}\times {{N}_{A}}=0.1\,{{N}_{A}}\] 3. Number of molecules in 0.1 g-atom of He gas \[=0.1\times {{N}_{A}}=0.1\,{{N}_{A}}\] 4. Number of molecules in 11.2 L of\[S{{O}_{2}}\] \[=\frac{11.2}{22.4}\times {{N}_{A}}\] \[=\frac{{{N}_{A}}}{2}\] \[\therefore \]0.1 mole of\[C{{O}_{2}},\]3.2 g of\[{{O}_{2}}\]and 0.1 g-atom of He gas have the same number of molecules, ie,\[0.1\,{{N}_{A}}.\]
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