Two large containers a and b of the same size are filled with different fluids. the fluids in containers a and b are maintained at 0° c and 100° c, respectively. a small metal bar, whose initial temperature is 100° c, is lowered into container a. after 1 minute the temperature of the bar is 90° c. after 2 minutes (since being lowered into container a) the bar is removed and instantly transferred into the other container. after 1 minute in container b the temperature of the bar rises 10°. how long, measured from the start of the entire process, will it take the bar to reach 99.9° c? (round your answer to two decimal places. assume the final temperature being asked for is reached while the bar is container b.)