Consider the graph given in figure . Which of the following options does not show instantaneous rate of reaction at 40 ?

Options

A. `(V_(5)-V_(2))/(50-30)`
B. `(V_(4)-V_(2))/(50-30)`
C. `(V_(3)-V_(2))/(40-30)`
D. `(V_(3)-V_(1))/(40-20)`

Answer

B

Explanation

Reaction occurring at smallest time interval is known as instantaneous rate of reaction e.g., instantaneous rate of reaction at 40 s is rate of reaction durning a small interval of time close to 40 s . Volume change during a small time interval close to 40 s i.e.,
`40-30 s, 50-40 s, 50-30 s, 40-20 s `
`("Instantaneous rate of reaction")=("Change in volume")/("Time interval close to" 40 s)`
`r_("inst")(20s)=(V_(5)-V_(2))/(50-30)` correct
(b) `r_("inst")(20s)=(V_(4)-V_(3))/(50-30)` incorrect, correct is `(V_(5)-V_(3))/(50-40)`
(c ) `r_("inst")(10s)=(V_(3)-V_(2))/(40-30)` correct
(d) `r_("inst")(20s)=(V_(3)-V_(1))/(40-20)` correct