Verified Solution • 2025–26 Session moderate

QJEEM17Ch6295: JEE Main 2017 Chemistry - Class 11 JEEM17Ch6295 Solution: The enthalpy change on freezing of 1 mol of water at 5 o C to…

The enthalpy change on freezing of 1 mol of water at 5oC to ice at −5oC is :

(Given Δ\Delta fusH = 6 kJ mol −- 1 at 0oC,
Cp(H2O, ℓ\ell = 75.3J mol −- 1 K −- 1)
Cp(H2O s) =36.8 J mol −- 1 K −- 1)

Multiple Choice Options

  • A 5.44 kJ mol −- 1
  • B 5.81 kJ mol −- 1
  • C 6.56 kJ mol −- 1
  • D 6.00 kJ mol −- 1

Step-by-Step Verified Solution

(1) From 5 ∘^\circ C to 0 ∘^\circ C :

H1=CP×(ΔT){H_1} = {C_P} \times (\Delta T)

=75.3×(278−273)= 75.3 \times (278 - 273)

= 377 J/mol

= 0.377 KJ/mol

(2) Phase change (0 ∘^\circ C to 0 ∘^\circ C) :

H2=−ΔHfusion{H_2} = - \Delta {H_{fusion}}

= −- 6 KJ/mol

(3) 0 ∘^\circ C to −- 5 ∘^\circ C (Ice phase) :

H3=−CP(s)×ΔT{H_3} = - {C_{P(s)}} \times \Delta T

=−36.8×(273−268)= - 36.8 \times (273 - 268)

= −- 0.184 KJ/mol

∴\therefore HTotal=H1+H2+H3{H_{Total}} = {H_1} + {H_2} + {H_3}

=0.377−6−0.184= 0.377 - 6 - 0.184

= −- 5.837 KJ/mol

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