CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2010

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

    A) 0.0355 g

    B) 0.071 g

    C) \[6.023\times {{20}^{21}}\]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, ie, n is least, it will exert least pressure. (a) \[n=\frac{wt}{mol.\,wt}=\frac{0.0355}{35.5}=1\times {{10}^{-3}}mol\]  (b)\[n=\frac{number\text{ }of\text{ }molecules}{{{N}_{A}}}\]          \[=\frac{6.023\times {{10}^{21}}}{6.023\times {{10}^{23}}}=0.01\,\,mol\] \[(d)\,\,n=0.02\,\,mol\] Thus, 0.0355 g chlorine will exert the least pressure.


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