Discuss the below:
Thermodynamics & Newton's law of cooling
Q: Distinguish between reversible and irreversible processes in thermodynamics. Describe the circumstances under which a) dQ = Tds and dW = -PdV.
A long cylinderical rod of radius R is attached to a source of heat at one end and its surroundings are at temperature Ro. Show that at time t, temperature of the rod T(x,t) obeys the given equation (see attachment).
![514_eqq.JPG](https://secure.tutorsglobe.com/CMSImages/514_eqq.JPG)
Assuming from Newton's law of cooling that R(T) = A(T - To) where A is a constant,
a) Obtain an expression for steady state temperature distribution T(x) when hot end of the bar is at temperature T1.
b) Given that A is independent of r, show that in steady state the heat transported away from the hot end is proportional to r^(3/2).
c) Given that the heat loss is negligible (A = 0), show that a solution of the equation is as given
find an expression for a constant γ![1157_eqq1.JPG](https://secure.tutorsglobe.com/CMSImages/1157_eqq1.JPG)