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The temperature difference between two s...

The temperature difference between two sides of an iron plate, 2 cm thick, is `10^@ C`. Heat is transmitted through the plate at the rate of 600 kcal per minute per square metre at steady state. Find the thermal conductivity of iron.

Text Solution

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Given
` (Q)/( A t) = 600 "kcal /min "m^2 = ( 600 )/(60) = 10 `kcal /` s m^2`
` x= 2 cm = 2 xx 10^(-2) m`
` T_1 -T_2 = 10^@ C `
From Eq ( 7.34 ), we have
` Q=(KA (T_1 -T_2)t)/( x)`
`therefore K=(Q)/( A t) (x )/(T_1 -T_2)`
`= ( 10 " kcal " // s m^2 xx 2 xx10^(-2) m )/( 10^@ C )`
`= 0.02 `kcal `// ms^@ C`
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