please solve it correctly and add assumptions here are the answers just show me how pleae very fast

a.4*10^-3

b.5*10^-4s

C.9*10^-4 s

You will necd three plote 1) Tr (x-etis) ws deme for part (a) at different T;2)T1 vi time for p Question 2 (Preblem in 5.21 Teutbook modificed) (30 poinis) Plasza spery-ceating processes are eften ased to provide surfise proection for materials exposed to harsh ervironment, which induce degradation through fictors such as wear, corrosion, or outrigh thermal fallure. Ceramic coutings are commosly aiod for this perpere. In this precess, oeramis powdet injecied theopgh a novale (anode) of a plaza botch where the particles are carried by the plaama jet. During this process, the ceramie particles are acceleniod and heated at the same time by the plasma During their time-in-tight, the ceramic particles meat be beited to their melting point and expericese complete conversion to the fiquid icase (phave change). The coating a formed as the molter droplets irrpinge (eplat) on the surface and experience rapif solbififation. A pietiorial reprewntation of plasima coating of sobstrate surfaces is peovided belea: For A1,0, particles: initial iemperafure =T1=3003 Melting temperature T2=Tr=2311k For Plasma: Tk=10,000Kh=30,000H/m2L applinahsity af this avodel. Based on this information, please calculate the followings: a. Time required to heat alumina particles from 300K to their melting point ( 2318K ) b. Once particles reach at their melting point, heat must be absorbed (accumulated) for complete melting. During this process, the temperature does not change. How much time will be required for complete melting of alumina particles at their melting point? c. What is the total time required for heating and melting alumina particles? d. If =0.4 and Tsur=300K, in your opinion, neglecting radiation heat transfer during this plasma spray coating negligible or important