পাঠ ২ৰ সমাধান (অন্তঃপাঠ্য প্ৰশ্ন-৩)

অন্তঃপাঠ্য প্ৰশ্ন

২.৮ বিশুদ্ধ তৰল A আৰু B ৰ বাষ্প চাপ ক্ৰমে 450 আৰু $700 {~mm} \hspace{0.5mm} {Hg}$, $350 {~K}$ ত। তৰল মিশ্ৰণটোৰ সংযুতি নিৰ্ণয় কৰা যদি মুঠ বাষ্প চাপ $600 {~mm} \hspace{0.5mm} {Hg}$। বাষ্প অৱস্থাৰ সংযুতিও উলিওৱা।

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উত্তৰ

দিয়া আছে:

$p_{{A}}^{0}=450 {~mm}$ ${Hg}$

$p_{{B}}^{0}=700 {~mm}$ ${Hg}$

$p_{\text {total }}=600 {~mm}$ ${Hg}$

ৰাউল্টৰ সূত্ৰ অনুসৰি: $ \quad p_{{A}}=p_{{A}}^{0} \hspace{0.8mm} \chi_{{A}}$

$p_{{B}}=p_{{B}}^{0} \hspace{0.8mm} \chi_{{B}}=p_{{B}}^{0}\left(1-\chi_{{A}}\right)$

গতিকে, মুঠ চাপ $p_{\text {total }}=p_{{A}}+p_{{B}}$

$\Rightarrow p_{\text {total }}=p_{{A}}^{0} \hspace{0.8mm} \chi_{{A}}+p_{{B}}^{0}\left(1-\chi_{{A}}\right)$

$\Rightarrow p_{\text {total }}=p_{{A}}^{0} \hspace{0.8mm} \chi_{{A}}+p_{{B}}^{0}-p_{{B}}^{0} \chi_{{A}}$

$\Rightarrow p_{\text {total }}=\left(p_{{A}}^{0}-p_{{B}}^{0}\right) \chi_{{A}}+p_{{B}}^{0}$

$\Rightarrow 600=(450-700) \chi_{{A}}+700$

$\Rightarrow-100=-250 \chi_{{A}}$

$\Rightarrow \chi_{{A}}=0.4$

সেয়েহে, $\chi_{{B}}=1-\chi_{{A}}$

$\quad\quad\quad\quad\quad=1-0.4$

$\quad\quad\quad\quad\quad=0.6$

এতিয়া, $p_{{A}}=p_{{A}}^{0} \hspace{0.8mm} \chi_{{A}}$

$\quad\quad\quad=450 \times 0.4$

$\quad\quad\quad=180 {~mm}$ ${Hg}$

$p_{{B}}=p_{{B}}^{0} \hspace{0.8mm} \chi_{{B}}$

$\quad=700 \times 0.6$

$\quad=420 {~mm}$ ${Hg}$

এতিয়া, বাষ্প অৱস্থাত:

তৰল ${A}=\dfrac{p_{{A}}}{p_{{A}}+p_{{B}}}$ ৰ মোল ভগ্নাংশ

$ \quad\quad\quad\quad\quad\quad\quad\quad\quad \begin{aligned} & =\frac{180}{180+420} \\ & =\frac{180}{600} \\ & =0.30 \end{aligned} $

আৰু, তৰল $B=1-0.30$ ৰ মোল ভগ্নাংশ $=0.70$



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