The Lucas Numbers are a sequence very similar to the Fibonacci Sequence discussed in class, the only difference being that the Lucas Numbers start with L0=2L0=2 and L1=1L1=1 as opposed to Fibonacci’s F0=0F0=0 and F1=1F1=1. Concretely, they are defined byL0=2,L1=1 and Ln:=Ln−1+Ln−2 for n>1L0=2,L1=1 and Ln:=Ln−1+Ln−2 for n>1Write a Python function called first_D_digit_Lucas that takes an integer argument D less than 30 and returns the first D-digit Lucas number.

1kg of water contained in a piston-cylinder assembly undergoes two processes in series from an initial state where the pressure is 3.0 bar and the temperature is 150°c process 1-2: the water is compressed isothermally to a volume of 0.25 m^3 with 120 kj of work being done to the system. process 2-3: the water is heated at constant volume to a final pressure of 10 bar. a. find the change in internal energy for the system. b. calculate the amount of heat transferred, in kj. c. sketch both processes on a t-v diagram. (196.33 kj/kg, 76.33 kj)