How long would it take to obtain a temperature increase of 2000 degrees celcius, which could cause some metals holding the radioactive materials to melt?

Incomplete question.

Complete question given below

a) 2.7933 C/s

b) 714.45 s

Explanation:

Even when shut down after a period of normal use, a large commercial nuclear reactor transfers thermal energy at the rate of 150 MW by the radioactive decay of fission products. This heat transfer causes a rapid increase in temperature if the cooling system fails {1 watt = 1 joule/second or 1 W = 1 J/s and 1 MW = 1 megawatt.

(a) Calculate the rate of temperature increase in degrees Celsius per second  if the mass of the reactor core is  1.60105*10^6 kg and it has an average specific heat of  0.3349 kJ/kgº.

(b) How long would it take to obtain a temperature increase of  which could cause some metals holding the radioactive materials to melt?

Part a)

Part b)