JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2012

  • question_answer
    In which one of the following, does the given amount of chlorine exert the least pressure in a vessel of capacity\[1\text{ }d{{m}^{3}}\]at 273 K?

    A)  0.0355 g

    B)  0.071 g

    C) \[6.023\times {{10}^{21}}\]molecules

    D)  0.02 mol

    Correct Answer: A

    Solution :

                    Ideal gas equation is \[pV=nRT\] When V and T are same, \[p\propto n\] Thus, when number of moles, i.e., n is least, it will exert least pressure. (a) \[n=\frac{wt}{mol.wt.}=\frac{0.03}{35.5}=1\times {{10}^{-3}}mol\]  (b)\[n=\frac{0.071}{35.5}=2\times {{10}^{-3}}mol\]  (c)\[n=\frac{number\text{ }of\text{ }molecules}{{{N}_{A}}}=\frac{6.023\times {{10}^{21}}}{6.023\times {{10}^{23}}}\] \[=0.01\text{ }mol\] (d) \[n=0.02\text{ }mol\] Thus, 0.0355 g chlorine will exert the least pressure.


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