When 36.5 mL of 0.605 M H2SO4 is added to 36.5 mL of 1.21 M KOH in a coffee-cup calorimeter at 23.50°C, the temperature rises to 30.17°C. Calculate H of this reaction per mole of H2SO4 and KOH reacted. (Assume that the total volume is the sum of the individual volumes and that the density and specific heat capacity of the solution are the same as for pure water: d = 1.00 g/mL and c = 4.184 J/g×K.)

H per mole of H2SO4 reacted:
H per mole of KOH reacted:

To calculate the enthalpy change per mole of H2SO4 and KOH reacted, we need to use the equation:

q = mcΔT

where q represents the heat transferred, m is the mass of the solution, c is the specific heat capacity, and ΔT is the change in temperature.

First, let's calculate the mass of the solution. Since the density of the solution is the same as pure water and the volume of both H2SO4 and KOH is 36.5 mL each, the total volume of the solution is 36.5 mL + 36.5 mL = 73 mL.

Mass = Volume x Density
Mass = 73 mL x 1.00 g/mL
Mass = 73 g

Next, we calculate the heat transferred for the reaction between H2SO4 and KOH. The heat transferred can be determined using the equation:

q = mcΔT

q = 73 g x 4.184 J/g×K x (30.17 - 23.50)°C
q = 73 g x 4.184 J/g×K x 6.67°C
q = 2314.06 J

Since the reaction involves equal volumes of acid and base, the heat transferred represents the heat of reaction for the neutralization of one mole of each reactant.

To calculate the enthalpy change per mole of H2SO4, we divide the total heat transferred (q) by the number of moles of H2SO4:

Number of moles of H2SO4 = Concentration x Volume
Number of moles of H2SO4 = 0.605 mol/L x 0.0365 L
Number of moles of H2SO4 = 0.0220735 mol

H per mole of H2SO4 reacted = q / Number of moles of H2SO4
H per mole of H2SO4 reacted = 2314.06 J / 0.0220735 mol

Similarly, we can calculate the enthalpy change per mole of KOH reacted:

Number of moles of KOH = Concentration x Volume
Number of moles of KOH = 1.21 mol/L x 0.0365 L
Number of moles of KOH = 0.044165 mol

H per mole of KOH reacted = q / Number of moles of KOH
H per mole of KOH reacted = 2314.06 J / 0.044165 mol

Now you can calculate H per mole of H2SO4 and KOH reacted using the given values.

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