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 (kA xx 450)/(10 - x)`
`10 - x = 9x`
`x = 1 m`