A glass cylinder filled with n = 0.91 mol of air is capped with amoveable piston that can slide frictionlessly inside the cylinder.The gas is adiabatically compressed by rapidly slamming thepiston down into the cylinder with a constant force F = 190 Nover a distance of d = 14 cm. What is the change in temper-ature ∆T of the gas? Draw a P V diagram of this process aspart of your representation; make sure it includes the adiabaticprocess, isothermal lines corresponding to the initial and finaltemperatures, and shading that corresponds to the work doneon/by the gas. For the limit check, investigate what happensto ∆T if the piston is pushed only a very short distance intothe cylinder (d →0).a) Please draw an appropriate representation of the problem.b) Write initial equations used, and display them. (There should be 2)c) Solve symbolically through algebraic work and show a symbolic answer.d)Perform a units check.e) As d→0, what limit does ∆T approach?Why does the result make physical sense?f) Plug-in numbers into a symbolic answer and obtain a numerical answer.