The decomposition \[N{{H}_{3}}\] gas on a heated tungsten surface gave the following results: | ||||||||||
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Calculate approximately the values of x and y. |
A) \[x=410\,\,\sec \]
B) \[x=467\text{ }sec\]
C) \[x=490\text{ }sec\]
D) \[x=430\text{ }sec\]
Correct Answer: B
Solution :
[B]Y=115 mm | Y=150 mm | Y=120 mm | Y=105 mm | |
Initial pressure | 65 | 105 | Y | 185 |
Half life | 290 | X | 670 | 820 |
Initial pressure of gas \[\alpha \] Initial moles of gas in above question. |
Half-life \[\alpha \] Initial pressure |
So, it must be zero order reaction |
\[{{t}_{1/2}}=\frac{{{C}_{0}}}{2k}=\frac{{{P}_{0}}}{2k}\] \[290=\frac{65}{2k}\] |
\[\Rightarrow k=\frac{65}{2\times 290}=0.112\,\,mm\,\,of\,\,Hg/\sec \] |
\[x=\frac{105\times 2\times 290}{2\times 65}=468\,\sec \] |
\[670=\frac{y\times 2\times 290}{2\times 64}\] |
\[\Rightarrow y=150\,\,mm\,\,of\,\,Hg\] |
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