JEE MAIN - Chemistry (2002 - No. 37)
Units of rate constant of first and zero order reactions in terms of molarity M unit are respectively
sec-1, Msec-1
sec-1, M
Msec-1, sec-1
M, sec-1
Explanation
For a zero order reaction.
rate $$ = k{\left[ A \right]^ \circ }\,\,\,$$ i.e. rate $$=k$$
hence unit of $$k = M.{\sec ^{ - 1}}$$
For a first order reaction.
rate $$ = k\left[ A \right]$$
$$k=M.$$ $${\sec ^{ - 1}}/M = {\sec ^{ - 1}}$$
rate $$ = k{\left[ A \right]^ \circ }\,\,\,$$ i.e. rate $$=k$$
hence unit of $$k = M.{\sec ^{ - 1}}$$
For a first order reaction.
rate $$ = k\left[ A \right]$$
$$k=M.$$ $${\sec ^{ - 1}}/M = {\sec ^{ - 1}}$$
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