[tex]N_0=10\text{ g}\\t=54\text{ min}\\N(t)=1,25\text{ g}\\T_{1/2}=?\\\\N(t)=N_0\cdot\left(\dfrac{1}{2}\right)^{\frac{t}{T_{1/2}}}\\\\1,25=10\cdot\left(\dfrac{1}{2}\right)^{\frac{54}{T_{1/2}}}\\\\\left(\dfrac{1}{2}\right)^{\frac{54}{T_{1/2}}}=0,125\\\left(\dfrac{1}{2}\right)^{\frac{54}{T_{1/2}}}=\left(\dfrac{1}{2}\right)^{3}\\\\\dfrac{54}{T_{1/2}}=3\\T_{1/2}=18[/tex]
Zatem jest to 18 minut.
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[tex]N_0=10\text{ g}\\t=54\text{ min}\\N(t)=1,25\text{ g}\\T_{1/2}=?\\\\N(t)=N_0\cdot\left(\dfrac{1}{2}\right)^{\frac{t}{T_{1/2}}}\\\\1,25=10\cdot\left(\dfrac{1}{2}\right)^{\frac{54}{T_{1/2}}}\\\\\left(\dfrac{1}{2}\right)^{\frac{54}{T_{1/2}}}=0,125\\\left(\dfrac{1}{2}\right)^{\frac{54}{T_{1/2}}}=\left(\dfrac{1}{2}\right)^{3}\\\\\dfrac{54}{T_{1/2}}=3\\T_{1/2}=18[/tex]
Zatem jest to 18 minut.