AP EAPCET 25-Aug-2021 Shift 2 Paper

According to first order kinetics

A(g)→B(g)
at‌t=0	‌	a0	‌	−
at‌t=t	‌	a0−x	‌	x

Formula for first order reaction, At=A0e−kt
Here, At= concentration at time 't'
A0= initial concentration
∴ A0−x=A0e−kt
A0(1−e−kt)=x
∴ For[B]t=x
[B]t=A0(1−e−kt)
[B]t=A0−A0e−kt ...(i)
On comparing the above equation with
y=c+mx
y=rate(R),x=time(t)
Slope, m=1−e−kt (i.e. exponentially decrease)
∴ Graph is