The ionisation enthalpy of Cs is $ 375.6KJmol^{–1} $ what is the energy required to convert [at mass of Cs = 133] 2.66mg of gaseous Cs completely to $ Cs^+ $
First, we need to convert the mass of Cs to moles: \[ \text{Moles of Cs} = \frac{\text{mass}}{\text{molar mass}} = \frac{2.66 \text{ mg}}{133 \text{ g/mol}} \] Since 1 mg = 0.001 g, \[ \text{Moles of Cs} = \frac{2.66 \times 10^{-3} \text{ g}}{133 \text{ g/mol}} \approx 2 \times 10^{-5} \text{mol} \] The ionization enthalpy of Cs is given as 375.6 kJ/mol. Therefore, the energy required to convert 2.66 mg of Cs to \( Cs^+ \) is: \[ \text{Energy} = \text{moles} \times \text{ionization enthalpy} = 2 \times 10^{-5} \text{ mol} \times 375.6 \text{ kJ/mol} \] \[ \text{Energy} = 7.512 \text{ J} \] Thus, the correct option is 7.512 J.