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Introduction to rate of reaction - class-X
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For a chemical reaction, $A \rightarrow products$, the rate of reaction doubles when the concentration of A is increased by a factor of 4, the order of reaction is :
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A
0.5
💡 Explanation:
let x be order of reaction and K be rate of constant.
* A$\rightarrow $ products.
$ \cfrac { K\cfrac { { \left( A \right) }^{ x } }{ time } }{ K\cfrac { { \left( 4A \right) }^{ x } }{ time } } or,\quad \cfrac { 1 }{ 2 } = { \left( \cfrac { A }{ 4A } \right) }^{ x }\\ or,\quad \cfrac { 1 }{ 2 } ={ \left( \cfrac { 1 }{ 4 } \right) }^{ x }$ (reciprocating)$\\ or,\quad 2={ \left( 4 \right) }^{ x }\\ or,\quad 2={ { 2 }^{ 2 } }^{ x }\\ or,\quad 2x=1\\ or,\quad x=\cfrac { 1 }{ 2 } \\ x=0.5$