Specific heat of `Li(s),Na(s),K(s),Rb(s)` and `Cs(s)` at `398K` are `3.57,1.23,0.756,0.363` and `0.242 J g^(-1)K^(-1)` respectively. Compute the molar heat capacity of these elements and identify any periodic trend. If there is trend, use it to predict the molar heat capacity of `Fr`.

Explanation

To solve the problem, we need to calculate the molar heat capacity for each of the alkali metals given their specific heat capacities and atomic weights. The molar heat capacity (C_m) can be calculated using the formula:

\[ C_m = \text{Specific Heat} \times \text{Molar Mass} \]

Where:
- Specific Heat is given in \( J \, g^{-1} \, K^{-1} \)
- Molar Mass is given in \( g \, mol^{-1} \)

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