A stink bomb is used to inject small amount of hydrogen sulphide into a long tun

Question

A stink bomb is used to inject small amount of hydrogen sulphide into a long tunnel. The number of H2S molecules per unit volume is given by N(x, t ). The dependence of N and time and on position x within the tunnel is given by the one-dimensional diffusion equation: K 2N/ x2 = N/ t, in which K is a constant. Use the method of separation of variables to show that a solution of this equation is of the form: , in which lambda is the separation constant. In the example given above, assume that the two ends of the tunnel are at x = 0 and x = L and at some time in the future the distribution of H2S molecules in the tunnel has the form N(x) = L - x for 0

Explanation / Answer

MYLIST[0]= 3.0 MYLIST[1]=4.0 MYLIST[2]=12.0 MYLIST[3]=12.0 MYLIST[4]=36.0

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