ଏକକ 2 ସମାଧାନ (ଅନ୍ତର୍ଗତ ପ୍ରଶ୍ନ-3)

ଅନ୍ତର୍ଗତ ପ୍ରଶ୍ନ

2.8 ଶୁଦ୍ଧ ତରଳ A ଏବଂ B ର ବାଷ୍ପ ଚାପ ଯଥାକ୍ରମେ 450 ଏବଂ $700 {~mm} \hspace{0.5mm} {Hg}$ ଅଟେ, $350 {~K}$ ରେ। ତରଳ ମିଶ୍ରଣର ସଂଘଟନ ନିର୍ଣ୍ଣୟ କର ଯଦି ସମୁଦାୟ ବାଷ୍ପ ଚାପ $600 {~mm} \hspace{0.5mm} {Hg}$ ଅଟେ। ଏବଂ ବାଷ୍ପ ପ୍ରାବସ୍ଥାର ସଂଘଟନ ମଧ୍ୟ ନିର୍ଣ୍ଣୟ କର।

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ଉତ୍ତର

ଏହା ଦିଆଯାଇଛି:

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

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

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

ରାଉଲ୍ଟଙ୍କ ନିୟମ ଅନୁଯାୟୀ, ଆମର ଅଛି: $ \quad p_{{A}}=p_{{A}}^{0} \hspace{0.8mm} \chi_{{A}}$

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

ତେଣୁ, ସମୁଦାୟ ଚାପ $p_{\text {total }}=p_{{A}}+p_{{B}}$

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

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

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

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

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

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

ତେଣୁ, $\chi_{{B}}=1-\chi_{{A}}$

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

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

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

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

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

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

$\quad=700 \times 0.6$

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

ବର୍ତ୍ତମାନ, ବାଷ୍ପ ପ୍ରାବସ୍ଥାରେ:

ତରଳ ${A}=\dfrac{p_{{A}}}{p_{{A}}+p_{{B}}}$ ର ମୋଲ ଅଂଶ

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

ଏବଂ, ତରଳ $B=1-0.30$ ର ମୋଲ ଅଂଶ $=0.70$



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