Definition : Limiting reagent is the substance in a chemical reaction that is consumed when chemical reaction is complete.
step 1 : first write the chemical reaction and then balanced the chemical equation
[tex]C_{2}H_{4} + H_{2} \rightarrow C_{2}H_{6}[/tex]
step 2 : convert given masses into moles.
[tex]\text{ moles of } C_{2}H_{4}=10.5 (g)/ 28 (\text{ g/mole)} = 0.375 \text{ moles}[/tex]
[tex]\text{moles of }H_{2}= 0.40 (g)/ 2 (g/mole) = 0.20 moles[/tex]
step 3 : Now find the limiting reagent.
[tex]\text{ moles of }C_{2}H_{4} \text{ in excess}= 0.375-0.20 = 0.175 \text{moles}[/tex]
Now we conclude that [tex]C_{2}H_{4}[/tex] is the limiting reagent.
step 4 : Amount of the excess reactant i.e [tex]C_{2}H_{4}[/tex]
[tex]\text{ mass of }C_{2}H_{4}= 0.175 (moles) \ast 28 (g/mole) = 4.9 g[/tex]