What is the mole fraction of solute in a 3.63 m aqueous solution? -g?

3.63 m (molal) aqueous solution means that 3.63 moles of particular solute is dissolved in 1 Kg (1000 g) of water (solvent).

So,
     The concentration of Solute  =  3.63 moles

Moles of water are calculated by using following formula,

                                    Moles  =  mass / M.mass

                                        mass of water = 1000g
                                   M.mass of water  =  18.01 g/mol
Putting the values,
                                    Moles  =  1000 g / 18.01 g/mol
 
                                    Moles  =  55.524 mol

Now, having both, moles of solute and moles of solvent we can calculate mole fraction by applying following formula,

    Mole Fraction  =  Moles of Solute ÷ ( moles of solute + moles of solvent)

Putting values,

    Mole Fraction  =  3.63 mol ÷ (3.63 mol + 55.524 mol)

    Mole Fraction  =  3.63 mol ÷ 59.154 mol

    Mole Fraction  =  0.0614