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Water has the following thermodynamic constants: (1) specific heat liquid = 4.18

ID: 1794166 • Letter: W

Question

Water has the following thermodynamic constants: (1) specific heat liquid = 4.18 J/g °C, solid = 2.09 J/g °C, gas = 1.89 J/g °C, (2) heat of fusion = 334 J/g, and (3) heat of vaporization = 2257 J/g. For a sample of water at 1.0 atm of pressure, mass = 145 g at an initial temperature of -43 °C and a final temperature of 330 °C, answer the following questions:

(1) how much heat is required to warm the solid sample to its melting point? J

(2) how much heat is required to melt the sample? J

(3) how much heat is required to warm the liquid sample to its boiling point? J

(4) how much heat is required to vaporize the sample? J

(5) how much heat is required to warm the gaseous sample to its final temperature? J and finally,

(6) how much heat is required for the entire process to occur? J

Explanation / Answer


1)

Q1=m*C_solid*dT


=145*2.09*(0-(-43))


=13031.15 J

2)

Q2=m*C_fusion


=145*(334)


=48430 J

3)

Q3=m*C_liquid*dT


=145*4.184*(100)


=60668 J


4)

Q4=m*C_vaporization


=145*2257


=327265 J

5)


Q5=m*C_gas*dT


=145*1.89*(330-100)


=63031.5 J

6)


Q=Q1+Q2+Q3+Q4+Q5


=512425.65 J