Design an outside storage facility for methane gas (CH4). 110 kg is the maximum mass of methane to be stored at this facility. The container to be designed is spherical and is not insulated. The temperature range the tank must be able to withstand is -10oC and 30oC . the maximum pressure is set by a pressure relief valve at 5MPa. If a container costs $1000/M^2 installed. Determine the dimensions of the lowest cost container considering the provided environmental factors. Consider the following when making the determination: - ideal gas law -compressability Z chart - using the vanderwaals equation.