A) \[r=K{{\left[ sugar \right]}^{2}}{{\left[ {{H}^{+}} \right]}^{0}}\]
B) \[r=K{{\left[ sugar \right]}^{1}}{{\left[ {{H}^{+}} \right]}^{0}}\]
C) \[r=K{{\left[ sugar \right]}^{1}}{{\left[ {{H}^{+}} \right]}^{1}}\]
D) \[r=K{{\left[ sugar \right]}^{0}}{{\left[ {{H}^{+}} \right]}^{0}}\]
Correct Answer: C
Solution :
| \[pH=5\] | \[pH=6\] |
| \[\left[ {{H}^{+}} \right]={{10}^{-5}}\] | \[\left[ {{H}^{+}} \right]={{10}^{-6}}\] |
| \[\frac{\left( {{t}_{1/2}} \right)}{\left( {{t}_{1/2}} \right)}={{\left( \frac{{{10}^{-5}}}{{{10}^{-6}}} \right)}^{1-n}}\] | \[=\frac{1}{10}={{\left( 10 \right)}^{1-n}}\] |
| \[{{10}^{-1}}={{\left( 10 \right)}^{1-n}}\,\] | \[\Rightarrow \,1-n\,=-1\Rightarrow \,n=2\] |
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