To calculate the heat transferred to the reactor per mole of entering 1-butene, we need to determine the enthalpy change for the reaction and then multiply it by the conversion of 1-butene to 1,3-butadiene.
The balanced equation for the reaction is
C4H8(g) + 3H2(g) → C4H6(g) + 3H2(g)
The enthalpy change for the reaction can be calculated using the standard enthalpies of formation for 1-butene and 1,3-butadiene.
The heat transferred to the reactor per mole of entering 1-butene can be calculated by multiplying the enthalpy change for the reaction with the conversion of 1-butene to 1,3-butadiene (33%).
As the enthalpy change of the reaction is not provided, it is not possible to calculate the heat transferred to the reactor per mole of entering 1-butene.