The average molar heat capacities of ice and water are 37.6 and 75.2 J mol -1 K -1 respectively and its enthalpy of fusion is 6.02 kJ mol -1 . The amount of heat required to raise the temperature of 10 g of water from -10° C to 10° C is equal to

Question

The average molar heat capacities of ice and water are 37.6 and 75.2 J mol -1 K -1 respectively and its enthalpy of fusion is 6.02 kJ mol -1 . The amount of heat required to raise the temperature of 10 g of water from -10° C to 10° C is equal to (A) 2376 J (B) 4752 J (C) 1128 J (D) 3971 J

Tardigrade Admin · Accepted Answer

10 g ice at -10° C stackrel I longrightarrow 10 g ice at 0° C stackrel II longrightarrow 10 g water at 0° C stackrel III longrightarrow 10 g water at 10° C Heat required =(37.6/18) undersetI× 10 × 10+ undersetII(6020 × 10/18)+(75.2/18) undersetIII × 10 × 10 =209+3344+418=3971 J

Q. The average molar heat capacities of ice and water are $37.6$ and $75.2 J m o l^{- 1} K^{- 1}$ respectively and its enthalpy of fusion is $6.02 k J m o l^{- 1} .$ The amount of heat required to raise the temperature of $10 g$ of water from $- 1 0^{\circ} C$ to $1 0^{\circ} C$ is equal to

2376 J

4752 J

1128 J

3971 J

$10 g$ ice at $- 1 0^{\circ} C ⟶ I 10 g$ ice at $0^{\circ} C ⟶ II$

$10 g$ water at $0^{\circ} C ⟶ III 10 g$ water at $1 0^{\circ} C$

Heat required $= \frac{37.6}{18} I \times 10 \times 10 + II \frac{6020 \times 10}{18} + \frac{75.2}{18} III \times 10 \times 10$

$= 209 + 3344 + 418 = 3971 J$

Q. The average molar heat capacities of ice and water are 37.6 and 75.2Jmol−1K−1 respectively and its enthalpy of fusion is 6.02kJmol−1. The amount of heat required to raise the temperature of 10g of water from −10∘C to 10∘C is equal to

2376 J

4752 J

1128 J

3971 J

10g ice at −10∘C⟶I​10g ice at 0∘C⟶II​ 10g water at 0∘C⟶III​10g water at 10∘C Heat required =1837.6​I×10×10​+II186020×10​​+1875.2​III×10×10​ =209+3344+418=3971J

Q. The average molar heat capacities of ice and water are $37.6$ and $75.2 J m o l^{- 1} K^{- 1}$ respectively and its enthalpy of fusion is $6.02 k J m o l^{- 1} .$ The amount of heat required to raise the temperature of $10 g$ of water from $- 1 0^{\circ} C$ to $1 0^{\circ} C$ is equal to