Adiabatic Process - Practice Questions & MCQ

Adiabatic process - 

When a thermodynamic system undergoes a process, such that there is no exchange of heat takes place between the system and surroundings, this process is known as adiabatic process.

In this process P, V and T changes but  .

From first law of thermodynamics - 

             

Now in adiabatic - 

                 

      So,  for adiabatic process

Now, let us take two cases, first is for expansion in which the work done is positive and second one is compression in which the work done is negative - 

                    

 

Equations of Adiabatic process - 

1.     - - - - Relating Pressure and volume

2.   - - - - -Relating Temperature and volume

3.  

 

For the slope of adiabatic curve on PV curve, we have to differentiate the adiabatic relation - 

              As, 

             So,

                  

So we can say that in the given graph, the slope  =               

Also, we have studied that the slope of the isothermal curve on PV diagram is  =   

So, we can say that the - 

With the help of graph we can see that the adiabatic curve is more steeper than the isothermal curve- 

                                  or,        

Specific heat in the adiabatic process - Specific heat of gas during adiabatic change is zero. Mathematically  -

                                                             

Note- Even though heat is not supplied or taken out during the process but still, the temperature change is taking place. So we can say that Specific heat for an adiabatic process is zero.

 

Work done in the adiabatic process - 

                                    

So, if  is increasing then the work done will be decreasing. As we know that - 

                                  

 

Elasticity in the adiabatic process - As,  

 

                                                         

                                                         Where,