Respuesta :
Answer: Molar heat of solution for the salt is 2563 kJ/mol
Explanation:
Let the heat absorbed during reaction be q.
[tex]q=m\times c\times \Delta T[/tex]
q = Heat gained by solution = ?
m = Mass of water + mass of salt = 100.000 g + 5.556 g = 105.556 g
c = Heat capacity of solution = Heat capacity of water = 4.184 J/g°C
Change in temperature = ΔT = (80.000°C-11.517°C) = 68.483°C
[tex]q=105.556g\times 4.184J/g^0C\times 68.483^0C=30245.3J[/tex]
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}=\frac{5.556g}{470.659g/mol}=0.01180moles[/tex]
0.01180 moles of salt absorbs = 30245.3 J
1 mole of salt absorbs =[tex]\frac{30245.3J}{0.01180}\times 1=2563161.02J=2563kJ[/tex] of heat
Thus molar heat of solution for the salt in kJ/mol is 2563
Molar heat of solution for the salt is 2563 kJ/mol.
Specific heat capacity:
Specific heat is the amount of heat required to raise one gram of any substance one degree Celsius or Kelvin. The formula for specific heat is the amount of heat absorbed or released = mass x specific heat x change in temperature.
[tex]Q=m*c*\triangle T[/tex]
where,
Q = Heat gained by solution = ?
m = Mass of water + mass of salt = 100.000 g + 5.556 g = 105.556 g
c = Heat capacity of solution = Heat capacity of water = 4.184 J/g°C
ΔT= Change in temperature (80.000°C - 11.517°C) = 68.483°C
Substituting the values in the above formula:
[tex]Q=m*c*\triangle T\\\\Q=105.556 g*4.184 J/g^oC* 68.483^oC\\\\Q=30245.3J[/tex]
Calculation for number of moles:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}\\\\\text{Number of moles}=\frac{5.556g}{470.659g/mol} \\\\\text{Number of moles}=0.01180 \text{ moles}[/tex]
So, 0.01180 moles of salt absorbs = 30245.3 J
1 mole of salt absorbs= [tex]\frac{30245.3J}{0.01180} *1=2563kJ[/tex] of heat
Thus, molar heat of solution for the salt in kJ/mol is 2563.
Find more information about Specific heat here:
brainly.com/question/16559442
