Virat Batch 2027
Champion Batch 2028
Divine JEE 1-on-1
K=20 min−1K=20 \mathrm{~min}^{-1}K=20 min−1
t1 / 2=0.693220=ln 220 \mathrm{t}_{1 / 2}=\frac{0.6932}{20}=\frac{\ln 2}{20}\\ t1 / 2=200.6932=20ln 2
Required time =n × t1 / 2=\mathrm{n} \times \mathrm{t}_{1 / 2}\\=n × t1 / 2
C = C0 2n = C0 32C = {{{C_0}} \over {{2^n}}} = {{{C_0}} \over {32}}\\C = 2nC0 = 32C0
⇒ \Rightarrow ⇒ 2n = 32{2^n} = 322n = 32 = 25{2^5}\\25
⇒ \Rightarrow ⇒ n = 5
Required time =5 × 0.693220 =0.173 min =17.3 × 10−2 min =\frac{5 \times 0.6932}{20} \\ =0.173 \mathrm{~min} \\ =17.3 \times 10^{-2} \mathrm{~min} =205 × 0.6932 =0.173 min =17.3 × 10−2 min
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