Problem 3 - Consider a long carbon steel bar 2 cm x 2 cm x 1.5 m. It is initially at 300 C. It is dipped in a large bath at 25 C, with a convective heat transfer coefficient of 50 W/m2.K. A- Can we apply lump capacity method for analysis of cooling time of the bar, why? B- Using lump capacity method, determine the time to bring the bar to an average temperature of 50 C. C- Calculate the total heat transferred to the bath during this period. Take the properties at ambient temperature.