2. Solved Papers
  3. JCECE Engineering

JCECE Engineering JCECE Engineering Solved Paper-2015

  • question_answer
    A partition divides a container having insulated walls into two compartments. The same gas fills the two compartments (see figure). The ratio of the number of molecules is compartments I and II is

    A) \[6:1\]

    B) \[1:6\]

    C) \[4:1\]

    D)  \[1:4\]

    Correct Answer: B

    Solution :

    Using\[pV=nRT\], We can write,                 \[{{p}_{I}}{{V}_{I}}={{n}_{I}}R{{T}_{I}}\] \[\Rightarrow \]               \[pV={{n}_{I}}RT\]                                           ... (i) Similarly, for compartment II                 \[{{p}_{II}}{{V}_{II}}={{n}_{II}}R{{T}_{II}}\] \[\Rightarrow \]               \[(2p)(3V)={{n}_{II}}R(T)\]                           ... (ii) From Eqs. (i) and (ii), we have                 \[{{n}_{I}}RT=\frac{{{n}_{II}}RT}{6}\] \[\Rightarrow \]               \[\frac{{{n}_{I}}}{{{n}_{II}}}=\frac{1}{6}\] or            \[{{n}_{I}}:{{n}_{II}}=1:6\]


You need to login to perform this action.
You will be redirected in 3 sec spinner