A mercury thermometer having a time constant of (180 s) is initially at (200°C), it is immersed in a bath of (80°C) at t=0 1. Derive a formula to determine the temperature indicated at (t=5min)? 2. If...

A mercury thermometer having a time constant of (180 s) is initially at (200°C), it is immersed in a bath of (80°C) at t=0 1. Derive a formula to determine the temperature indicated at (t=5min)? 2. If the thermometer read a temperature at (t=3min), and then is removed from the bath and put it in an another bath at (150°C), determine what will be the temperature reading at (t=5min)?