JEE Main & Advanced JEE Main Paper (Held on 7 May 2012)

  • question_answer
    The ratio of number of oxygen atoms (0) in 16.0 gozone \[({{O}_{3}}),\] 28.0 g carbon monoxide (CO) and16.0 oxygen \[({{O}_{2}})\] is (Atomic mass: C = 12,0 = 16and Avogadro's constant\[{{N}_{A}}=6.0\times {{10}^{23}}mo{{l}^{-1}}\])   JEE Main Online Paper (Held On 07 May 2012)

    A) 3:1:2                                     

    B)                        1:1:2

    C)                        3:1:1                                     

    D)                        1:1:1

    Correct Answer: D

    Solution :

                    \[16.0g\,{{O}_{3}}=\frac{16}{48}\text{mole}\] \[=\frac{16}{48}\times \text{6}\text{.023}\times \text{1}{{\text{0}}^{\text{23}}}\text{molecules}\] \[=3\times \frac{16}{48}\times \text{6}\text{.023}\times \text{1}{{\text{0}}^{\text{23}}}\text{atoms}\] \[\text{=6}\text{.023}\times \text{1}{{\text{0}}^{\text{23}}}\text{atoms}\] \[28.0gCO=\frac{28}{28}\text{mole}\,\text{=1mole}\] \[=1\times 6.023\times {{10}^{23}}\]molecules \[=1\times 6.023\times {{10}^{23}}\]atoms \[=6.023\times {{10}^{23}}\]atoms \[16.0\,g\,{{O}_{2}}=\frac{16}{16}\text{mole}\,=1\,\text{mole}\] \[=1\times 6.023\times {{10}^{23}}\]molecules \[=1\times 6.023\times {{10}^{23}}\]atoms \[=1\times 6.023\times {{10}^{23}}\] atoms Therefore, the ratio is \[6.023\times {{10}^{23}}:6.023\times {{10}^{23}}:6.023\times {{10}^{23}}\] i.e.1 : 1 : 1


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