114k views
5 votes
The latent heat of fusion of alcohol is 25 kcal/kg and its melting point is -114 o C. It has a specific heat of 0.60 in its liquid state. Calculate the energy needed to melt 2.0 kg of solid alcohol at -114 o C and raise it to a temperature of -14 o C.

A) 70 kcal
B) 120 kcal
C) 170 kcal
D) 220 kcal

User Arnaud P
by
7.8k points

2 Answers

0 votes

Answer:

C) 170 kcal

Step-by-step explanation:

User Thurstan
by
8.0k points
1 vote

Answer:

Total energy is 170 kJ

Step-by-step explanation:

Given data:

latent heat of fusion of alcohol is 25 kcal/kg

melting point of alcohol is -114 degree c

specific heat us 0.60 k cal/kg degree c

energy need for 2 kg solid alcohol is

for Melting:

Energy Q is calculated as

Energy, Q = 25 \times 2.0 kg = 50 kJ

Energy required for Heating liquid:

Energy, ΔH = 2.0 kg \times 0.60 \times (100°C) = 120 kJ

Total energy = (50 kJ + 120 kJ) = 170 kJ

User Daniel Corona
by
8.5k points