The reaction A(aq)→B(aq)+C(aq) is monitored by measuring optical rotation of reaction mixture at different time interval. The species A, B and C are optically active with specific rotations 20∘,30∘ and −40∘ respectively. Starting with pure A if the value of optical rotation was found to be 2.5∘ after 6.93∘ minutes and optical rotation was −5∘ after infinite time. Find the rate constant for the first-order conversion into A into B and C: