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To a 2-kg sample of wood, 10kcal of heat is added, and its temperature is found to rise from 220C to 440C. What is the specific heat capacity of wood?

A. 0.21kCa (l)/(K)goC
B. 0.42kCa (l)/(K)goC
C. 0.63kCa (l)/(K)goc
D. 0.84kCa (l)/(K)goC

1 Answer

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The specific heat capacity of wood, when 10 kcal of heat raises its temperature from 220C to 440C, is approximately 0.23 cal/g°C, which is not listed in the provided options.

To find the specific heat capacity of wood when 10 kcal of heat is added, and its temperature rises from 22°C to 44°C, we use the formula q = mcΔT, where q is the heat added, m is the mass, c is the specific heat capacity, and ΔT is the temperature change. Here, m = 2 kg (2000 g), ΔT = 44°C - 22°C = 22°C, and q = 10 kcal = 10,000 cal. Substituting the values in, we get 10,000 cal = 2000 g * c * 22°C. Solving for c gives c = 10,000 cal / (2000 g * 22°C) = 0.2273 cal/g°C, which we can round to approximately 0.23 cal/g°C. The options provided in the question do not include this value, indicating there may have been an error in the options presented or in the calculation.

User Girish Hegde
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