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Define Railway Tanker?
A long, cylindrical tank is placed on a carriage that is able to slide without friction on. The mass of the empty tanker is M=180 kg at first the tank is filled with an ideal gas of mass m=120 kg at a pressure P0=150 atm at an ambient temperature T0=300k.
Then one end of the tank is heated to 335 K whereas the other end is kept fixed at 300 K. Find the new position of the center of mass of the tanker and the pressure in the tank when the system reaches equilibrium.
Invoke the boundary condition Φ '(0)=0 to obtain a power series where the powers of x are multiples of 3.
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