FEN 202: ENGINEERING MATHEMATICS III TEST (CARRY-OVER) 2021

 

FEN 202: ENGINEERING MATHS III (TEST)

1.     1   The velocity of a chemical reaction is given by dx/dt = k(a – k) where x is the amount transferred in time t, K is a constant and a is the concentration at time t=0 when x=0. Solve the equation and determine x in terms of t

 

2.     2.    The current drawn in the electric circuit as shown below is given by the equation “Ri + L dl/dt = 0” where L and R are Inductance and Resistance respectively as constants respectively, prove that         I = Ie – Rl/L

 

 

3.    3.     For an adiabatic expansion of  a gas Cv dp/p + Cp dv/v = 0

Where Cp and Cv are thermodynamic constants given. N^x Cp/Cv

Show that PVⁿ = constant