01 part6 properties pure substance more prob

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Properties of Pure Substances S.Gunabalan Associate Professor Mechanical Engineering Department Bharathiyar College of Engineering & Technology Karaikal - 609 609. e-Mail : [email protected]

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properties pure substance more prob

Transcript of 01 part6 properties pure substance more prob

Page 1: 01 part6 properties pure substance more prob

Properties of Pure Substances

S.GunabalanAssociate ProfessorMechanical Engineering DepartmentBharathiyar College of Engineering & TechnologyKaraikal - 609 609.e-Mail : [email protected]

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Properties of Pure Substances

fg – latent heat of vaporization

f – Fluid (Saturated liquid)

g – gas (saturated vapour- steam)

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Problem-2

Steam initially at 0.5 Mpa, 240 is cooled at constant volume to 75 , a) state the condition of the steam, b)find the temperature at which steam become saturated vapour, c)find the quality of steam at 75 , d)what is the heat transfer per Kg of steam from 240 to 7.

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Problem-2

Given data:Steam initially at p1 = 0.5 Mpa = 5 bar, T1 = 240 is cooled at constant volume to 75 V = constantT2 = 75

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a) state the condition of the steam

Super heated steam

151.9

p1 =5 bar, T1 = 240

Constant Volume Line

Steam initially at p1 = 0.5 Mpa =5 bar, T1 = 240

Refer Steam table At P1 = 5 bar T sat = 151.9 < T1Since the initial temperature (T1 = 240 )is above the saturation temperature (151.9 ) ,

a) Its is a Super heated steamSo Refer Super heated steam table for further information at point 1

T2 = 75

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b) Find the temperature at which steam become saturated vapour.

Super heated steam

151.9

p1 =5 bar, T1 = 240

Constant Volume Line

T2 = 75

Steam initially at p1 = 0.5 Mpa = 5 bar, T1 = 240 Super heated steamFrom table

This is a point on saturation lineSo refer saturation table Constant For thiset The actual saturation temperatureFrom saturated steam table

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b) Find the temperature at which steam become saturated vapour.

Super heated steam

151.9

p1 =5 bar, T1 = 240

Constant Volume Line

T2 = 75

For thiset The actual saturation temperatureFrom saturated steam table

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b) Find the temperature at which steam become saturated vapour.

Super heated steam

151.9

p1 =5 bar, T1 = 240

Constant Volume Line

T2 = 75 0.38 0.4 0.42 0.44 0.46 0.48 0.5 0.52

135

140

145

150

155

Series1; 140

150f(x) = − 86.2068965517241 x + 183.879310344828R² = 1

Linear Interpolation

Vg

Tem

pera

ture

Do this using calculator

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0.38 0.4 0.42 0.44 0.46 0.48 0.5 0.52135

140

145

150

155

Series1; 140

150f(x) = − 86.2068965517241 x + 183.879310344828R² = 1

Linear Interpolation

Vg

Tem

pera

ture

b) Find the temperature at which steam become saturated vapour.

Super heated steam

151.9

p1 =5 bar, T1 = 240

Constant Volume Line

T2 = 75 Tsat = 143.88

= 143.88

a) Tsat = 143.88

Do this using calculator

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c)find the quality of steam at 75

Super heated steam

151.9

p1 =5 bar, T1 = 240

Constant Volume Line

T2 = 75 = 143.88

At T2 = 75 Get data from table =

Constant Volume Line

f +Substitute and find =

You can also find Terms like h, s,u,q

𝒗 𝒈𝒗 𝒇

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c)find the quality of steam at 75

Super heated steam

151.9

p1 =5 bar, T1 = 240

Constant Volume Line

T2 = 75 = 143.88

At T2 = 75 Get data from table = 0.001026

Constant Volume Line

f +Substitute and find =

You can also find Terms like h, s,u,q

𝒗 𝒈𝒗 𝒇 𝒗

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c)find the quality of steam at 75 At T2 = 75 Get data from table = 0.001026

- - 0.001026

Constant Volume Line data from super heated region ( point 1)

f + = 0.001026 + 4.133074

find = 0.112113

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d)what is the heat transfer per Kg of steam from 240 to 7.

Super heated steam

151.9

p1 =5 bar, T1 = 240

Constant Volume Line

T2 = 75 = 143.88

Magnitude and sign Heat transfer (kJ) = + w

Constant volume V1 = V2

w = p(V2-V1) = 0 =

u = = (1) – ()

For Constant volume process = =

At T2 = 75 Get data from table

h = hP sat = p2= FROM STEAM TABLE

f +

𝒗 𝒈𝒗 𝒇

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d)what is the heat transfer per Kg of steam from 240 to 7.

Magnitude and sign Heat transfer (kJ) = = (1) 240 Super heated region– () 75

For Constant volume process = =

At T2 = 75 Get data from table

h = 2321.5 KJ/KghP sat = p2= 0.38549 barf + = 0.112113 from previous calculation+ 574.17 KJ/Kg

Steam initially at p1 = 0.5 Mpa = 5 bar, T1 = 240 Super heated steamFrom table

h1 = S1 =

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d)what is the heat transfer per Kg of steam from 240 to 7.

Super heated steam

151.9

p1 =5 bar, T1 = 240

Constant Volume Line

T2 = 75 = 143.88

Magnitude and sign Heat transfer (kJ) = = (1) – ()

Substitute Q

Result: a) Super heated steam

b) Tsat =c) X =d) Q =

𝒗 𝒈𝒗 𝒇

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Enthalpy (h) – show difference between h,u,Q

Enthalpy is a measure of the total energy of a thermodynamic system.

Enthalpy is a thermodynamic potential. It is a state function and an extensive quantity.

It includes the internal energy, which is the energy required to create a system, and the amount of energy required to make room for it by displacing its environment and establishing its volume and pressure.

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Heat transfer

Magnitude and sign Heat transfer (kJ) = + w

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Specific heat

• The specific heat - the amount of heat required to raise a unit mass of the substance through a unit rise in temperature.

• For gases– At constant pressure

• Cp

– At constant Volume• Cv

This classic relationship between the specific heats of an ideal gas is called Mayer’s equation

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Reference• Rajput, R. K. 2010. Engineering thermodynamics. Jones and Bartlett

Publishers, Sudbury, Mass.• Nag, P. K. 2002. Basic and applied thermodynamics. Tata McGraw-Hill,

New Delhi.