200 mg of a radioactive sample reduces to 180 mg in 1000 days calculate the decay constant and half Life Share with your friends Share 0 Aarushi Mishra answered this We knowN=N0e-λtIn terms of weightw=w0e-λtGiven:w0=200mgw=180mgt=1000 days180=200e-1000λ9=10e-1000λTaking log e both sideslog e9=log e10e-1000λlog e9=log e10+log ee-1000λUsinglog aab=blog e9=log e10-1000λUse log eb=2.303 log 10b2.303 log 1032=2.303 log 1010-1000λ4.606 log 103 =2.303 log 1010-1000λ4.606 ×0.477 =2.303-1000λ1000λ =2.303-4.606 ×0.477=0.106 days-1λ=1.06×10-5 days-1T1/2=0.693λ=0.6931.06×10-5 days-1=6.54×104 days -1 View Full Answer
