please show all steps and answer clearly thanks Water enters

please show all steps and answer clearly, thanks!

Water enters a 2 cm diameter, 10 m long pipe at 10 degree C and at a mass flow rate of 0.5 kg/s. The pipe is exposed to hot air at 50 degree C with a heat transfer coefficient of 10 W/(m^2 K). The rate of heat transfer in to the pipe is measured to be 1000 W. The correct equation to determine the temperature of the water as it exits the pipe is Q = -kA dT/dx Q = sigma A_s (_s^4 - T_surr^4) Q = hA_S(T_s - T_infinity) Q = hA_S(T_s - T_infinity) Q = mc_p Delta T

Solution

Solution :

Here the problem is to identify the me of heat transfer properly which will make us to chose the equation in the answer accordingly.

When a pipe is exposed to hot air the heat transfer will be ahpening due to convenction.

Hence the correct equation for convenction should be selected as answer.

The equation 3 represents the heat transfer due to convection.

Hence answer is OPTION 3