Thermodynamics: 222 PHYS
Thermodynamics: 222 PHYS
Thermodynamics: 222 PHYS
222 PHYS
Part-1
Thermodynamics is the study of the effects of work, heat, and energy on a system
Thermodynamics is only concerned with macroscopic (large-scale) changes and
observations
Liquid - intermolecular
forces bind closest neighbours
low
temp
Solid - strong
high
intermolecular forces pressure
Property Definition Symbol S.I.Unit
It is a scalar quantity.
T [ K ] = T [ O C ] + 273.15 5
T [ O C ] = (T [ F ] − 32)
9
Heat always flow from an object with excess energy to an object with an absence of energy.
T,K
P
273.16
T 273.16 K - for an ideal gas constant-
PTP volume thermoscope
Q dQ Heat capacity
C lim = dT
T →0 T
1 dQ dq m – mass [kg]
c = Specific heat capacity C – Heat capacity [J/oC]
m dT dT c – Specific heat [J/kgoC]
Because the differential dQ is inexact, we have to specify under what
conditions heat is added.
Or, more precisely, which parameters are held constant. This leads to two
important cases:
• the heat capacity at constant volume, CV
• the heat capacity at constant pressure, Cp
dQ dQ
CV and CP
dT V dT P
Monatomic: c = 3R ;c = 5R
( isothermic, C = , V
2 P 2
adiabatic, C = 0 )
Diatomic: c = ;c =
5R 7R
;
V
2 P
2
A common use of the heat equation is to determine the final temperature of
a mixture of two different objects at different initial temperatures.
Qhot = −Qcold This is necessary to
compensate for the different
c1m1T1 = −c2m2T2 directions of heat flow.
c1m1(Tf − T1 ) = −c2m2 (Tf − T2 )
c1m1Tf − c1m1T1 = −c2m2Tf + c2m2T2
c1m1Tf + c2m2Tf = c1m1T1 + c2m2T2
Tf (c1m1 + c2m2 ) = c1m1T1 + c2m2T2
Latent heat fusion is the heat absorbed when a solid melt at constant
temperature
Qcold = −Qhot
mice Lf +cH2O mH2O Twater = −M steam Lv
mice Lf +cH2O mH2O Twater
M steam = −
Lv
Msteam = −3.3kg
The negative sign on the mass is acceptable here since it
represents the mass of steam that was lost (converted to water).
Heat and Latent Heat
• Latent heat of transformation L is the energy required for 1 kg
of substance to undergo a phase change. (J / kg)
Q = ±ML
• Specific heat c of a substance is the energy required to raise
the temperature of 1 kg by 1 K. (Units: J / K kg )
Q = M c ΔT
• Molar specific heat C of a gas at constant volume is the
energy required to raise the temperature of 1 mol by 1 K.
Q = n CV ΔT
If a phase transition involved then the heat transferred is
Q = ±ML+M c ΔT
Latent heat and specific heat