How much heat is required to convert solid ice with a mass of 930 g at a temperature of -10.0 °C to liquid water at a temperature of 59.0 °C? The specific heat of ice is cice = 2100 J/kgK, the specific heat of water is cwater = 4186.8 J/kgK, and the heat of fusion for water is Lf = 334 kJ/kg.

Question
Asked Nov 1, 2019

How much heat is required to convert solid ice with a mass of 930 g at a temperature of -10.0 °C to liquid water at a temperature of 59.0 °C? The specific heat of ice is cice = 2100 J/kgK, the specific heat of water is cwater = 4186.8 J/kgK, and the heat of fusion for water is Lf = 334 kJ/kg.

check_circle

Expert Answer

Step 1

The specific heat capacity for a given chemical substance or a solution refers to the amount of the heat that is required to increase the temperature of a given substance or system per unit of its mass. The mathematical relationship between specific heat capacity, mass, change in temperature and the heat of the solution is given by the following equation:

q=mxcxAT
q is the amount of heat or energy released or absorbed during the reaction
m is the mass of the given substance
c is the specific heat capacity
AT is the change in the temperature of the system
help_outline

Image Transcriptionclose

q=mxcxAT q is the amount of heat or energy released or absorbed during the reaction m is the mass of the given substance c is the specific heat capacity AT is the change in the temperature of the system

fullscreen
Step 2

The initial temperature is given to be -10.0 oC = -283.15 K.

The final temperature is given to be 59 oC =332.15 K.

The specific heat capacity of water is given to 4186.8 J kg-1 K-1.

The specific heat capacity of ice is given to 2100 J kg-1 K-1.

The mass of ice is given to be 930 g=0.93 kg.

This conversion takes place by three steps. In first step, the temperature of the ice raises from -10oC to 0.0oC.

In the first step the heat absorbed during the reaction can be calculated as follows:

mxcxAT
ice
q=0.93 kgx2100 J/kg Kx(273.15 K-263.15 K)
= 19530 J
19.53 kJ
help_outline

Image Transcriptionclose

mxcxAT ice q=0.93 kgx2100 J/kg Kx(273.15 K-263.15 K) = 19530 J 19.53 kJ

fullscreen
Step 3

The heat which is absorbed during the melting...

92mxL
q20.93 kgx334 kJ/kg
310.62 kJ
help_outline

Image Transcriptionclose

92mxL q20.93 kgx334 kJ/kg 310.62 kJ

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Chemistry

Physical Chemistry

Related Chemistry Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Aluminum reacts with chlorine gas to form aluminum chloride via the following reaction: 8. 2AI 3C12 ...

A: (a)Number of moles of reactants is calculated.

question_answer

Q: Calculate the solubility at 25°C of CaF2 in pure water and in a 0.0060M  NaF solution. You'll find K...

A: The equation can be written as follows,

question_answer

Q: A mole of photons in the ultra-violet region of the electromagnetic spectrum has an energy of 3.71 ×...

A: Given that,Energy of photon is

question_answer

Q: The % m/m of a solution made by dissolving 6.00 g NaCl to make 200. g of solution is _______% m/m.

A: The term molarity is used to express the number of moles of solution which are dissolved in one lite...

question_answer

Q: Question 6

A: The specific heat capacity for a given chemical substance or a solution refers to the amount of heat...

question_answer

Q: Question:a.There are many ionic compounds that dissolve in water to a very small extent. One example...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

question_answer

Q: Use standard enthalpies of formation to determine ΔHºrxn  (kJ) for : 2NO2(g) -> N2O4 (g)

A: The enthalpy of the reaction, ΔH is calculated as,

question_answer

Q: A female patient has blood hemoglobin of 9.5% (m/V). The normal level is between 12 and 16 g/dL. Doe...

A: The molarity or the concentration can be defined as the ratio of number of moles of solute which are...

question_answer

Q: Chemistry Question

A: Hi there! We can answer only one question in a go as per the guidelines. So, the first question is b...