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Using the values for the heat of fusion, specific heat of water. and/or heat of vaporization, calculate the amount of heat energy in each of the following:

a. joules released when 125gof steam at 100∘Ccondenses and cools to liquid at 15.0∘C

b. kilocalories needed to melt a 525-gice sculpture at 0∘Cand to warm the liquid to 15.0∘C

c. kilojoules released when 85.0gof steam condenses at 100∘C, cools, and freezes at 0∘C

Short Answer

Expert verified

(a) Joules released when 125gof steam at 100∘Cand cools at 15.0∘Cis 3.28×105J

(b) Kilocalories needed to melt 525gof ice at 0∘Cand warms at 15.0∘Cis 5.0×104cal

(c) Kilojoules released when 85gof steam condenses at 100∘Cand freezes at 0∘Cis 2.56×102KJ

Step by step solution

01

Given Information (part a).

The given information are used to find the joules:

Mass of steam=125g

Initial temperature=100∘C

Cooling temperature=0∘C

02

Find the joules when steam cooled (pat a).

Steam has a mass of 125gand a vaporization heat of 2260J/gAs a result, the formula for calculating the energy released to condense 125gof steam is:

Heat=mass×heatofvaporization=125g×2260Jg=2.83×105J

Calculate the Heat energy,

Heat=m×∆t×SH=125g×85∘C-0∘C×4.184Jg∘C=4.45×104J

The total energy is equal to the sum of the energy is released during condensation and the energy required to chill the liquid. The formula is as follows:

=2.83×105J+4.45×104J=3.28×105J

Then the Total amount of heat energy in Joule is3.28×105J

03

Given Information (part b).

The following are the information to find Kilocalories:

Mass of Ice=525g

Initial temperature=0∘C

Heating temperature=15∘C

04

Find the Kilocalories needed to melt and warm (part b).

The heat of fusion of water is 80cal/g, while the mass of ice is 525g. As a result, the calculation for calculating the amount of energy required to melt 525gof ice is as follows:

Heat=mass×heatoffusion=525g×80calg=4.20×104cal

Calculate the Heat energy to warm the liquid from 0∘Cto 15∘Cis

Heat=m×∆t×SH=525g×15.0∘C-0∘C×1calg∘C=7.88×103cal

The total energy is equal to the sum of the energy required to melt and warm the liquid. The formula is as follows:

=4.20×104cal+7.88×103cal=5.0×104cal

Therefore, the Total amount of heat in calories is5.0×104cal

05

Given Information (part c).

The following are the information to find Kilojoules is as:

Mass of steam=85.0g

Initial temperature=100∘C

Cooling temperature=0∘C

06

Find the Kilojoules released (part c).

Steam's mass is 85g. the formula to find the Heat released during condensation is as:

Heat=mass×heatofvaporization=85.0g×2260Jg=1.92×105J

Calculate the Heat energy to cool down the liquid from 100∘Cto 0∘Cis as follows:

Heat=m×∆t×SH=85.0g×100∘C-0∘C×4.184Jg∘C=3.56×104J

The following is the formula for calculating the amount of energy required to freeze the liquid:

Heat=mass×heatoffusion=85.0g×334Jg=2.84×104J

The Total Energy calculated as follows:

1.92×105J+3.56×104J+2.84×104J=2.56×105J×1KJ1000J=2.56×102KJ

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