Please answer it perfectly, answer each part in detail, show all the calculations , please don't miss anything,

I will upvote your efforts , please answer it correctly

Natural gas is becoming an increasingly more important source of fuel. Unfortunately, many of the planet's natural gas reserves are located far away from the areas where the gas is burnt. In order for it to be transported as safely and efficiently as possible, the gas must be liquefied. Liquefied Natural Gas (LNG) can be considered to be pure, liquid methane. One method of liquefying the gas is to cool it below its boiling point at the pressure required. For methane, the normal boiling point is 161.48C. (a) Outline briefly why it would not be feasible to cool methane below its normal boiling point with a simple vapour compression refrigeration cycle. How could such cooling be performed in practice? [3 marks] An alternative process exists in which the gas is first compressed to high pressure, and then cooled at this constant high pressure. The cooled high pressure gas is passed to a flash drum through a throttle valve. Flowing from the flash drum are streams of pure gas, which is vented to the atmosphere, and the desired LNG product stream. The feed to such a process is pure methane gas at 1 bara and 263K. This stream is passed through a two-stage compressor with an intercooler. The first stage of this compressor has an isentropic efficiency of 90% and raises the pressure of the gas to 10 bara. Between the stages, the gas is cooled isobarically to 263K. The second stage can be assumed to be reversible and adiabatic, and raises the pressure to 100 bara. Upon exiting the cooler, the gas is 100 bara and 193K. The flash drum is adiabatic and operates at 1 bar. (b) What are the advantages and disadvantages of using a multi-stage compressor over a single stage? [2 marks] (c) Calculate the total work required for each kilogram of methane that passes through the compressor. [ 6 marks] (d) Calculate the fraction of the methane fed to the flash drum which exits as (i) vapour and (ii) liquid. Find the compressor work required to produce 1kg of LNG. [5 marks] (e) Why is the process outlined in (b) - (d) not particularly satisfactory? What steps would you recommend to improve this process? [4 marks] [Total 20 marks]