One end of a uniform rod of length 10m is placed in boiling water while its other end is placed in melting ice. A point P on the rod is maintained at a constant temperature of `450^@C`. The mass of steam produced per second is equal to the mass of ice melted per second. If specific latent heat of steam is 7 times the specific latent heat of ice, the distance of P from the steam chamber must be___________(in m)

Answer

1

Explanation

`(dH_(1))/(dt)=(kA(450-0))/((10-x)) =(dm)/(dt) L_(f)`
`(dH_(2))/(dt)=(kA)/x(450-100) =6 (dm)/(dt) L_(f)`

`(kA)/x(350)=7(kAxx450)/(10-x)`
10-x =9x
x=1m