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When a 2.00g (0.0200 mol) KHCO3 was mixed with 30.0 mL of approximately 2M HCl, the...

When a 2.00g (0.0200 mol) KHCO3 was mixed with 30.0 mL of approximately 2M HCl, the temperature fall by 3.7oC

Calculate the enthalpy change of this reaction per mole of KHCO3.

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Answer #1

Solution-
The equation can be written as
K2CO3 + 2HCl → 2KCl + H2O + CO2
As we know that
Q = msΔT
we know that
Mass = Volume*Density
Putting the values in the equation
= 30ml*1.00g/ml
= 30g
Given
Mass = 30g
Specific heat of mixture = 4.184 J/goC
ΔT = 3.70C
substute these value we get
Q = (30g)(4.184J/goC)(3.70C)
= 464.424 J
This is for 0.02 mol of K2CO3 .
The amount of heat liberated per one mole of K2CO3= 464.424 J * 1 mol / 0.02 mol
  

= 23221.2J
As the temperature of mixture falls it indicates that the heat is decrease, Therefore the ΔH must have +vesign.


=>ΔH = 23221.2 J

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