6. Water steadily enters an extremely thin 100 m stainless steelpipe with a diameter of 10 cm at a mass flow rate of 31.4 kg/s at80 °C at 100 kPa. The convection heat transfer coefficient betweenthe ambient air (20 °C) and water pipe is ℎ = 120 ?/(?^2)?. You canignore the heat loss by radiation and assume the temperature of thewater and pipe surface are almost same but the temperatureDifference is very small but enough for conduction heat transfer.Please find the variation of the water Temperature with length ofpipe (from entrance), the heat loss from water to ambient air whenpassing through this pipe. You can assume the specific heat ofwater is 4.2 kJ/(kg*Celsius). Please keep in mind that thetemperature of the pipe surface is a function of the length, sothat heat loss through convection is not constant but a function ofpipe surface temperature. In solving this question, you can assumethe water in this pipe consists of a series of small elements(discs). For each element (disc), the heat loss through side (pipe)surface by convection is equal to the change of thermal energy(temperature change noted as dT) of water flowing through thiselement (disc). This will lead to the development of a differentialequation: ?? ?? = ?? + ?. You can find the temperature as afunction of x noted as ? = ?(?), and heat transfer as a function of?(?) = ?(?).