What is the warm-up load in kg/h for warming up 50 m of 203.2 mm, Schedule 40 steel pipe to a working pressure of 1737 kPa?

To determine the warm-up load in kg/h for heating a length of steel pipe, you need to know the specific heat of the pipe material, the temperature change required, and the mass of the pipe.

In this case, the pipe length is given as 50 meters with a diameter of 203.2 mm and a Schedule 40 rating. Schedule 40 steel pipe has a specific weight and thermal properties that enable us to calculate its mass efficiently.

First, calculate the mass of the pipe using its volume and the density of steel. The pipe can be treated as a cylinder – the volume can be calculated using the formula for the volume of a cylinder (V = π × r² × h), where r is the radius and h is the height (or length in this case). After finding the volume, multiply that by the density of steel (approximately 7850 kg/m³) to obtain the mass of the pipe in kilograms.

Next, to find the warm-up load, we factor in the specific heat capacity of the steel and the desired temperature rise to achieve the working pressure of 1737 kPa. The required energy to raise the temperature is determined by the formula Q = mcΔT, where 'Q' is