Write the First Law of Thermo- dynamics in terms of changes in specific volume and changes in temperature.

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choltas5j · Accepted Answer

To write:The first law of thermodynamics in terms of changes in specific volume and changed in temperature.First law of thermodynamics:  d  Q  =  d  u  +  p  d  VNow dW=pdVSpecific work:             d      W        M    =            p      d      V        M    =  p  αWhere,   α  = change in specific volume   =            d      V        M  Again,Heat capacity,   C  =            d      Q              d      T      specific heat capacity,   c  =      C    M    =            d      Q              M      d      T        =            d      h              d      T      where,   d  h  =            d      Q        M   energy added by heating per unit mass.Then,       c    p    =  (            d      h              d      T            )    P    ,         c    v    =  (            d      h              d      T            )    α  Now   d  u  =      c    v    d  T  d  h  =      c    v    d  T  +  p  d  αFurther,  d  h  =      c    p    d  TThen,      c    p    d  T  =      c    v    d  T  +  p  d  αThis is the required first law of thermodynamics.

Write the First Law of Thermo- dynamics in terms of changes in specific volume and changes in temperature.

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