Chemical $"A"$ reacts to form $"R"$ and $"R"$ reacts away to form $"S".$ In

addition $"R"$ slowly decomposes to form $"T".$ if a solution containing $1\mathrm{.}0$

mole$/$liter of $"A"$ is introduced into a batch reactor, how long will it take to

reach $C_{R,\text{m}\text{a}\text{x}},$ and what would be $C_{R,\text{m}\text{a}\text{x}}?$

Additional Data :

$k_1=\frac{6}{h}r$

$k_2=\frac{3}{h}r$

$k_3=\frac{1}{h}r$