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One end of metal rod of 1 m length and cross-sectional area 1.0 cm2 is immersed in boiling water and other end in an ice chamber. If the thermal conductivity of the metal is 900 cal/ms°C and the latent heat of fusion of ice is 80 cal/g, find the amount of ice (in g) which will melt in one minute.

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answer is 6.75.

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Detailed Solution

Rate of heat conduction through rod, ΔQΔt=KAΔθLΔQΔt=kAL(100)=900×10−4(1)×100=9.0cal/sIf m gram ice melts per second we usedQdt=mL9.0=m×80⇒m=9.080g/sHence the mass of ice melts in one minute, m′=9.080×60=6.75g

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One end of metal rod of 1 m length and cross-sectional area 1.0 cm2 is immersed in boiling water and other end in an ice chamber. If the thermal conductivity of the metal is 900 cal/ms°C and the latent heat of fusion of ice is 80 cal/g, find the amount of ice (in g) which will melt in one minute.