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.

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