Time (days) | % Reactant remaining |
0 | 100 |
2 | 50 |
4 | 39 |
6 | 25 |
8 | 21 |
10 | 18 |
12 | 15 |
14 | 12.5 |
15 | 10 |
A)
Reaction order Half-life (days) First 2
B)
Reaction order Half-life (days) First 6
C)
Reaction order Half-life (days) Second 2
D)
Reaction order Half-life (days) Zero 6
E)
Reaction order Half-life (days) Third 2
Correct Answer: C
Solution :
\[100\xrightarrow[{}]{2\,days}50\] \[50\xrightarrow[{}]{4\,days}25\] \[25\xrightarrow[{}]{8\,days}12.5\] Hence, the order of reaction is second. For second order reaction, \[k=\frac{1}{t}\left[ \frac{x}{a(a-x)} \right]=\frac{1}{2}\left[ \frac{50}{100\times 50} \right]\] \[=\frac{1}{200}\] \[{{t}_{1/2}}=\frac{1}{k.a}\] \[\Rightarrow \] \[=\frac{1}{1/200.100}\] \[=\frac{200}{100}=2\,days\]You need to login to perform this action.
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