The moles of hydrogen required for the synthesis of 13.78 mol ethane has been 27.56 mol. Thus, option C is correct.
The balanced chemical equation for the synthesis of ethane has been:
[tex]\rm C_2H_2\;+\;2\;H_2\;\rightarrow\;C_2H_6[/tex]
In a balanced chemical equation for the synthesis of 1 mole of ethane, 2 moles of hydrogen is required.
The moles of hydrogen required for the synthesis of 13.78 mol of ethane has been:
[tex]\rm 1\;mol\;C_2H_6=2\;mol\;H_2\\13.78\;mol\;C_2H_6=13.78\;\times\;2\;mol\;H_2\\13.78\;mol\;C_2H_6=27.56\;mol\;H_2[/tex]
The moles of hydrogen required for the synthesis of 13.78 mol ethane has been 27.56 mol. Thus, option C is correct.
For more information about balanced equation, refer to the link:
https://brainly.com/question/7181548