ThermodynamicsHard
Question
If ᐃU and ᐃW represented the increases in internal energy and work done by the system respectively in a thermodynamical process, which of the following is true ?
Options
A.ᐃU = - ᐃW, in a adiabatic process
B.ᐃU = ᐃW, in a isothermal process
C.ᐃU = ᐃW, in a adiabatic process
D.ᐃU = - ᐃW, in a isothermal process
Solution
According to first law of thermodynamics
ᐃQ = ᐃU + ᐃW .... (i)
where,
ᐃQ = Heat supplied to the system
ᐃU = Increase in internal energy of the system
ᐃW = Work done by the system
For an adiabatic process
ᐃQ = 0
From equation (i), we get
ᐃU = - ᐃW
For an isothermal process
ᐃU = 0
From equation (i), we get
ᐃQ = ᐃW
Hence, option (a) is true.
ᐃQ = ᐃU + ᐃW .... (i)
where,
ᐃQ = Heat supplied to the system
ᐃU = Increase in internal energy of the system
ᐃW = Work done by the system
For an adiabatic process
ᐃQ = 0
From equation (i), we get
ᐃU = - ᐃW
For an isothermal process
ᐃU = 0
From equation (i), we get
ᐃQ = ᐃW
Hence, option (a) is true.
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