A block of ice at 0°C was being heated at a constant rate. The volume of sample as a function of time is shown in the graph below. Take ρ ice = 0.9 gm / cc , ρ water = 1 gm / cc , γ water = 1 0

Question

A block of ice at 0°C was being heated at a constant rate. The volume of sample as a function of time is shown in the graph below. Take $ρ_{ice} = 0.9 gm / cc, ρ_{water} = 1 gm / cc, γ_{water} = 1 0^{- 3} /^{\circ} C$ . Specific heat capacity of water $= 1 cal / gm^{\circ} C$ , latent heat of fusion of ice = 80 cal/gm :-

TestHub · Accepted Answer

m = 100 × 0.9 = 90 gm ​ Δ t Δ H ​ = 5 × 60 90 × 80 ​ = 24 cal / sec ​ v 1 ​ = 1 90 ​ = 90 cc ​ 24 = ms dt dT ​ ​ 24 = 90 × 1 × dt dT ​ ​ dt dT ​ = 30 8 ​ ∘ C / sec . ​ dt dV ​ = 3 V ​ r dt dT ​ ​ tan θ = 90 × 1 0 − 3 × 30 8 ​ = 24 × 1 0 − 3 cc / sec = 24 × 1 0 − 3 × 60 min . ​ = 1.44 cc / min . ​

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