The magnetogyric ratio (γ) for 1H is 26.75 x 107 rad s-1 T-1. What frequency (in MHz) is required to flip a proton to its β- spin state in a magnetic field of 14 Tesla?

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.