For the elementary reaction 2SOX2(g)+OX2(g)2SOX3(g), identify the correct among the following relations.

Question

For the elementary reaction

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

• $(-"d"["SO"\_2("g")])/"dt" = (-"d" ["O"\_2("g")])/"dt"$
• $(+ 1)/2 ("d"["SO"\_3("g")])/"dt" = ("d" ["SO"\_2("g")])/"dt"$
• $(+ "d"["SO"\_3("g")])/"dt" = (-"2d" ["O"\_2("g")])/"dt"$
• $(+ "d"["SO"\_2("g")])/"dt" = (-"d" ["O"\_2("g")])/"dt"$

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