Arigid, well-insulated tank is filled initially with 5.0 kg of air at a pressure of 5 bars and a temperature of 500k. a leak develops, and air slowly escapes until the pressure of the air remaining in the tank is 1 bar. employing the ideal gas model, determine the amount of mass remaining in the tank and its temperature.

Explanation:

In an isotropic process, the equation is as follows.

As the given data is as follows.

        = 500 K,     m = 5 kg

        = 5 bar,       = 1 bar

Now, putting the given values into the above formula as follows.

                     = 315.7 K

As according to the ideal gas equation, PV = mRT

So, calculate the volume as follows.

                      V =

                          =        (as 1 bar = 10^{5} Pa[/tex])

                          =  

Now, we will calculate the value of as follows.

                       =

                       = 1.58 kg

Thus, we can conclude that the amount of mass remaining in the tank is 1.58 kg and its temperature is 315.7 K.

the answer is:  

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