Question

For the elementary reaction

\[\ce{2SO2(g) + O2(g) -> 2SO3(g)}\], identify the correct among the following relations.

विकल्प

• `(-"d"["SO"_2("g")])/"dt" = (-"d" ["O"_2("g")])/"dt"`

• `(+ 1)/2 ("d"["SO"_3("g")])/"dt" = ("d" ["SO"_2("g")])/"dt"`

• `(+ "d"["SO"_3("g")])/"dt" = (-"2d" ["O"_2("g")])/"dt"`

• `(+ "d"["SO"_2("g")])/"dt" = (-"d" ["O"_2("g")])/"dt"`

Answer 1

`(+ "d"["SO"_3("g")])/"dt" = (-"2d" ["O"_2("g")])/"dt"`

Explanation:

For an elementary reaction,

\[\ce{2SO2(g) + O2(g) -> 2SO3(g),}\] the instantaneous rate of reaction is expressed as,

`"r"_"inst" = (-1)/2 "d" (["SO"_2])/"dt" = - ("d"["O"_2])/"dt" = 1/2 ("d"["SO"_3])/"dt"`

Thus, `("d"["SO"_3])/"dt" = (- "2d" ["O"_2("g")])/"dt"`