One end of a uniform rod of length `1m` is placed in boilling water while its other end 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 `800^(@)C` mass of stam produced per second is equal to the mass of ice melted per second. is equal to mass of ice melted per second If specific latent heat of steam is 7 times the specific latent heat of ice, then the distance of `P` from the steam chamber is `n//18` m Find the value of n ? .

Answer

2

Explanation

`Let (dm_(steam))/(dt) = (d)/(dt) m_(ice) = m`
`rArr Q_(steam) =7mL` and `Q_(ice) =mL`
`i.e Q_(steam) =7Q_(ice)`
`rArr RA (800 -100)/(x) =7RA(800-0)/(1-x)`
`rArr x = (1)/(9)m`
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