answer the following considering the heat transfer from the steam to the pipe is convection and the heat transfer from the pipe to insulation is conduction and the heat transfer from the insulation to the atmosphere is convection.

Thermodynamics Formula Sheet First law of thermodynamics for a system: (Qin - Cout) + (Win - Wout) + (Emass,in - Emass,out) = AU + AKE + APEB Steady Flow Energy Equation (SFEE) for a single stream control volume: Qcv - Wev = m (hz - hy) + (52 20:) + g(zz -zz)) Rates of Conductive & Convectiont Transfer: Qcond = -kcond A ax Qconv = -hconvAAT Rate of Radiative Heat Transfer: Qrad = Azo (TB* - TA* ) where o = 5.67x10-8 W/m2.K4 Entropy balance for a system: at (Ssystem) = Sin - Sout + Sgen where Sinlout = Linjout Tinlout Gibbs equations: TdS = du + PdV = dH - Vdp Gibbs Energy: G =H -TS Boltzmann distribution: s = k In w where k = 1.38x 10-23 J/K For an ideal gas: PV = nRT where R = 8.314 J/(mol.K) and R = - Rspec where an over dot indicates rate and A area K Boltzmann's Cy, cp specific heat constant AU = mcvAT capacity at constant Kcond thermal conductivity V velocity V. P m mass V volume Emass energy associated n number of moles W work with mass transfer PE potential energy Z height above datum KE kinetic energy P pressure e emissivity g gravitational Q heat transfer Stefan Boltzmann constant Rspec gas constant, constant G Gibbs energy Rspec = Cp - CV w number of viable h, H specific enthalpy, s, S specific entropy, arrangements enthalpy, entropy AH = mcpAT time hconv heat transfer temperature coefficient internal energy,Q3 For a university building, steam at 150 C for heating is supplied from a remote boiler house through a 35m length of insulated pipe over the road at first floor level. The pipe has an inside diameter of 0. 15m with a wall thickness of 10mm and conductivity of 48 W/(m.K). The insulation is 50 mm thick with a conductivity of 0.87 W/(m.K). State Fourier's law of conduction for an infinitely long cylinder and define the terminology used. [5] Calculate the heat loss when the atmospheric temperature is -5C and the heat transfer coefficients between the steam and pipe and from the insulation to the atmosphere are 2.84 and 34.1 kW/(m2.K) respectively. [15]