Question 18.1.2: 0.002 moles of a substance X reacted in 18 min and 5 s. The ......

0.002 moles of a substance X reacted in 18 min and 5 s. The number of photons absorbed per second is 2.0 × 10⁶. Calculate the quantum yield of the reaction (Avogadro’s number =6.02×1023= 6.02 ×10^{23}).

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Number of molecules of X reacting=0.002 moles=0.002×6.02×1023\begin{aligned}\text{Number of molecules of X reacting} & = 0.002  \text{moles}\\ &= 0.002 × 6.02 × 10^{23}\end{aligned}

Number of photons absorbed per second = 2.0 × 10⁶

Number of photons absorbed in 18 min and 5 s = 2.0 × 10⁶ × 1085

Quantum yield= Number of molecules reactedNumber of photons absorbed\text{Quantum yield} =\frac{\text{ Number of molecules reacted}}{\text{Number of photons absorbed}}\\ =0.002×6.02×10232.0×106×1085=5.548×1011=\frac{0.002 ×6.02 ×10^{23}}{2.0×10^6 ×1085} = 5.548×10^{11}

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