An insulated rigid tank with a volume of 0.57 m3, contains 4 kg of Argon gas at 450 kPa and 30 C. A valve is now opened, and the Argon is slowly allowed to escape until the pressure inside drops to 200 kPa. Assuming the Argon remaining inside the tank has undergone a reversible, adiabatic process, determine the final mass in the tank,

The value is

Explanation:

From the question we are told that

    The volume of the tank  is  

    The mass of the Argon it contains is  

     The initial pressure on of the gas is  

     The initial  temperature is  

     The  new pressure inside the tank is  

Gnerally given that the  Argon remaining inside the tank has undergone a reversible, adiabatic process, then the final temperature of the Argon gas is mathematically represented as

Here k is the specific heat ratio of Argon with value

So

=>      

Generally from the ideal gas equation

 So

Here R is the gas constant with value  

=>    

=>    

=>    

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