Answer :
Answer:
q = 1.6 x 10⁴ kJ/ mol NH₄CI
Explanation:
In this question we are given the change in temperature for the dissolution of 14.6 g NH₄Cl. We know from calorimetry that the change in temperature for a mass, m , of water is given by the expression:
q = m x c x Δt
where q is the heat absorbed or released upon dissolution, and c is the specific heat of water.
We have all that is needed to compute q for the dissolution of ammonium chloride, but please note we are being asked the q for the reverse reaction. Thus we would compute q reverse its sign and divide it by the number of moles in 14.6 g NH₄Cl to give the answer this question.
c for H₂O = 4.186 J/g ºC
ΔT = T final - Tinicial = 15.1 ºC - 20.0 ºC = - 5.10 ºC
q = 200 g x 4.186 J/gºC x - 5.1 ºC
= -4270 J = - 4.3 x 10³ kJ
Thus for the reverse reaction:
NH₄+ (aq) + Cl- (aq) ----> NH₄CI(s)
q = - ( - 4.3 x 10³ kJ ) = 4.3 x 10³ kJ
The molecular weight of NH₄CI is 53.49 g /mol.
⇒ mol NH₄CI = 14.6 g /53.49 g/mol = 0.27 mol
and the heat absorbed per mol of NH₄CI , endothermic reaction, is
q = 4.3 x 10³ kJ / 0.27 mol = 1.6 x 10⁴ kJ/ mol NH₄CI
The heat energy that has been absorbed with the reaction of ammonia and chloride has been 15.36 kJ/mol.
The heat released with the dissolution of the ammonium chloride has been given by:
Heat = mass × specific heat × change in temperature
Mass = 14.6 g
Specific heat = 4.186 J/g[tex]\rm ^\circ C[/tex]
Change in temperature = 15.1 - 20[tex]\rm ^\circ C[/tex]
Change in temperature = -5.1[tex]\rm ^\circ C[/tex]
Heat = 14.6 × 4.186 × -5.1
Heat = -4270 J
Heat = - 4.27 kJ.
The given reaction has been the reversible reaction, thus the absorbed heat for the formation of ammonium chloride has been 4.27 kJ.
This has been the heat for 14.6 grams of ammonium chloride.
Heat per mole can be given by:
Mass of 1-mole ammonium chloride = 53.4 g/mol.
The heat per unit mole has been given as:
14.6 grams = 4.27 kJ
53.4 grams = [tex]\rm \dfrac{4.2}{14.6}\;\times\;53.4[/tex]
= 15.36 kJ
The heat energy that has been absorbed with the reaction of ammonia and chloride has been 15.36 kJ/mol.
For more information about the heat released, refer to the link:
https://brainly.com/question/8828503