In a particular country, the separation between adjacent train rails must be 2 cm so that they can expand without touching in case the temperature rises (see figure). The rails are made of a metal with a linear thermal expansion coefficient of 4.8 x 10-5 (°C-1). a) If the temperature at which the rails are mounted is 20°C and the maximum temperature on a very hot day is 42°C, what is the maximum total length of the installed rails to prevent them from touching the next rail on a hot day? b) If the area of a rail section (area of the rectangle when viewed longitudinally) measures 10 cm x 4 cm, calculate the increase in the volume of the rail when the temperature rises from 20°C to 42°C.

In a particular country, the separation between adjacent train rails must be 2 cm so that they can expand without touching in case the temperature rises (see figure). The rails are made of a metal with a linear thermal expansion coefficient of 4.8 x 10-5 (°C-1). a) If the temperature at which the rails are mounted is 20°C and the maximum temperature on a very hot day is 42°C, what is the maximum total length of the installed rails to prevent them from touching the next rail on a hot day? b) If the area of a rail section (area of the rectangle when viewed longitudinally) measures 10 cm x 4 cm, calculate the increase in the volume of the rail when the temperature rises from 20°C to 42°C.