An ice cube of mass 0.1kg at 0∘C is placed in an isolated container which is at 227∘C. The specific heat S of the container varies with temperature T according to the empirical relation S=A+BT, where A=100cal/kg−K and B=2×10−2cal/kg−K2. If the final temperature of the container is 27∘C, determine the mass of the container. (Latent heat of fusion of water =8×104cal/kg−K, Specific heat of water =103cal/kg−K).
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Heat received by ice is Q1=mL+mC△T=10700cal Heat given by the container is Q2 =−∫300500mC(A+BT)dT=−mC[AT+BT22]300500=+21600mC By principle of calorimetry, Q1=Q2 ⇒mC=0.495kg.
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An ice cube of mass 0.1kg at 0∘C is placed in an isolated container which is at 227∘C. The specific heat S of the container varies with temperature T according to the empirical relation S=A+BT, where A=100cal/kg−K and B=2×10−2cal/kg−K2. If the final temperature of the container is 27∘C, determine the mass of the container. (Latent heat of fusion of water =8×104cal/kg−K, Specific heat of water =103cal/kg−K).
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