If lithium has a first ionisation energy of $520$ $520$ $k J$ $kJ$ $m o l^{- 1}$ $mol^(-1)$ , estimate the energy required to form 1 $L i^{+}$ $Li^+$ ion from 1 Li atom?

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If lithium has a first ionisation energy of $520$ $520$ $k J$ $kJ$ $m o l^{- 1}$ $mol^(-1)$ , estimate the energy required to form 1 $L i^{+}$ $Li^+$ ion from 1 Li atom?

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Answer 1 · 2017-11-15T08:33:18

Around $8.64 \cdot 10^{- 19} J = 5.40 e V$ $8.64*10^(-19)J=5.40eV$

Explanation:

The ionization energy tells us that for 1 mole of gaseous lithium, $520 k J$ $520kJ$ of energy is needed to ionise each atom.

We also know that 1 mole contains $6.02 \cdot 10^{23}$ $6.02*10^23$ atoms (to $3$ $3$ s.f.)

So, 1 atom = $\frac{1}{6.02 \cdot 10^{23}} = 6.02 \cdot 10^{- 23} m o l$ $1/(6.02*10^23)=6.02*10^(-23) mol$

$520 k J = 520000 J = 5.2 \cdot 10^{5} J$ $520kJ=520000J=5.2*10^5J$

$(5.2 \cdot 10^{5}) (6.02 \cdot 10^{- 23}) = 8.64 \cdot 10^{- 19} J$ $(5.2*10^5)(6.02*10^(-23))=8.64*10^(-19)J$

$\frac{8.64 \cdot 10^{- 19}}{1.60 \cdot 10^{- 19}} = 5.40 e V$ $(8.64*10^(-19))/(1.60*10^(-19))=5.40eV$

Answer 2 · 2017-11-15T08:39:10

We are given the first ionization energy of the lithium atom....

Explanation:

That is we are given data for the reaction:

$Li(g) +Delta rarr Li^+(g)+e^(-)$ ...

Where $Delta=520*kJ*mol^-1$ , and when we write $kJ*mol^-1$ we mean PER MOLE of reaction as written.....

And given the equation we need $520*kJ$ to produce a mole of gaseous lithium cations....

To produce a SINGLE LITHIUM CATION, we divide the molar quantity by the Avocado number....the number of avocadoes in a mole, $N_A=6.022xx10^23*mol^-1$ .

$(520*kJ*mol^-1)/(6.022xx10^23*mol^-1)=8.64xx10^-22*kJ=8.64xx10^-19*J$ . We could convert this value to $"ergs"$ or $cm^-1$ or $eV$ if we are real masochists.

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If lithium has a first ionisation energy of $520$ $520$ $k J$ $kJ$ $m o l^{- 1}$ $mol^(-1)$ , estimate the energy required to form 1 $L i^{+}$ $Li^+$ ion from 1 Li atom?

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Explanation:

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If lithium has a first ionisation energy of 520520520 kJkJkJ mol^(-1)mol−1mol^(-1), estimate the energy required to form 1 Li^+Li+Li^+ ion from 1 Li atom?

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Explanation:

Explanation:

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If lithium has a first ionisation energy of $520$ $520$ $k J$ $kJ$ $m o l^{- 1}$ $mol^(-1)$ , estimate the energy required to form 1 $L i^{+}$ $Li^+$ ion from 1 Li atom?