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JEE Main & Advanced Sample Paper JEE Main Sample Paper-29

  • question_answer
    \[20\,ml\] of gas A at \[1\,atm\] is added to \[40\,ml\]l flask and \[40\,ml\] of gas B at \[2\,\,atm\] is added to \[40\,ml\] flask. Find K if \[10\,ml\] of C is formed and equilibrium pressure is \[2.25\,\,atm\]. (Assume A, B and C are ideal gases) \[A(g)+B(g)\overset{{}}{leftrightarrows}C(g)\]

    A) \[0.57\]     

    B) \[2\times {{10}^{-4}}\]

    C) \[1.75\]                               

    D) \[4\times {{10}^{-2}}\]

    Correct Answer: A

    Solution :

     \[f(-2)\ge \,\underset{x\to -2}{\mathop{Lim}}\,f(x)\] Initial partial P   0.5           2              0 At equilibrium   0.05-x    2-x          x \[\Rightarrow \,\,{{b}^{2}}+1\ge \underset{x\to -2}{\mathop{Lim}}\,(2-|{{x}^{2}}+5x+6|)\] \[\Rightarrow \,{{b}^{2}}\ge 1\Rightarrow \,|b|\ge 1\]                 \[\int_{{}}^{{}}{\frac{\cos \,ec\,x\,+\cot \,x-(\cos e{{c}^{2}}x-{{\cot }^{2}}x)}{1+\cot \,x-\cos \,ec\,x}\,dx}\]                     


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