Large quantities of liquefied natural gas $($LNG$)$ are shipped by ocean tanker$.$ At the unloading port, provision is made for vaporization of

the LNG so that it may be delivered to pipelines as gas. The LNG arrives in the tanker at atmospheric pressure and $113\mathrm{.}7K,$ and

represents a possible heat sink for use as the cold reservoir of a heat engine. For unloading of LNG as a vapor at the rate of $9000$

$m^3*s^{-1},$ as measured at $25C$ and $\frac{1\mathrm{.}0133}{b}ar,$ and assuming the availability of an adequate heat source at $45C,$ what is the maximum

possible power obtainable and what is the rate of heat transfer from the heat source? Assume that LNG at $25C$ and $1\mathrm{.}0133$ bar is an

ideal gas with the molar mass of $17.$ Also assume that the LNG vaporizes only, absorbing only its latent heat of $512kJ*k{g}^{-1}$ at $113\mathrm{.}7K.$

The maximum possible power obtainable is

The rate of heat transfer from the heat source is

${10}^{6}kW.$

${10}^{6}kW.$