Question

${\left(IE\right)}_1$ of Cs is 376 kJ ${mol}^{-1}$. The maximum number of ${Cs}^{+}$ ions that can be produced per joule of energy absorbed by a sample of gaseous Cs atoms are $x\times {10}^{17}$. Then, the value of x is:

Answer 1

The energy required to ionize 1 mole of Cs atoms is $376KJ$.
The energy required to form 1 $C{s}^{+}$ ion $=\frac{376\times {10}^3}{6.02\times {10}^{23}}$

$=6.24\times {10}^{-19}$

Total energy $=1J$

Number of $C{s}^{+}$ ions produced by 1 J energy = $\frac{1}{6.24\times {10}^{-19}}$

$=1.6\times {10}^{18}=x\times {10}^{17}$

$=x=16$

Hence, the value of x is 16.