The longest trans-Canadian gas pipeline is 9099 km long. What is the pipe diameter

The longest trans-Canadian gas pipeline is 9099 km long. What is the pipe diameter if it also contains 639 tons of gas with an average density of 1.2 kg / m3?

Initial data: L (pipeline length) = 9099 km; m (gas mass in the pipeline) = 639 t.

Reference data: ρ (gas density) = 1.2 kg / m ^ 3.

SI system: L = 9099 km = 9099 * 10 ^ 3 m; m = 639 t = 639 * 10 ^ 3 kg.

1) The volume of the pipeline: V = m / ρ = 639 * 10 ^ 3 / 1.2 = 532.5 * 10 ^ 3 m ^ 3.

2) Cross-sectional area of the pipeline: V = S * L and S = V / L = 532.5 * 10 ^ 3/9099 * 10 ^ 3 = 0.0585 m ^ 2.

3) Pipeline diameter: S = 0.25 * Π * D ^ 2 and D = √ (S / 0.25Π) = √ (0.0585 / (0.25 * 3.14)) = 0.273 m.