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Identical containers A and B are both made of steel but A is completely filled with water while B is completely filled with mercury. Containers C and D, both identical to A and B, are also completely filled with water and mercury, respectively, but both are made of lead. When the containers are heated, some liquid spills out. Rank the following containers with least to most overflow. Use the values in Table 1 for the coefficients of A B C water in. lead mercury in lead D

Identical containers A and B are both made of steel but A is completely filled with water while B is completely filled with mercury. Containers C and D, both identical to A and B, are also completely filled with water and mercury, respectively, but both are made of lead. When the containers are heated, some liquid spills out. Rank the following containers with least to most overflow. Use the values in Table 1 for the coefficients of A B C water in. lead mercury in lead D

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Please solve the following and show the step by step SOLUTION considering the concepts in Linear and Volume Expansion:

Identical containers A and B are both made of steel but A is completely filled with water while B is completely filled with mercury. Containers C and D, both identical to A and B, are also completely filled with water and mercury, respectively, but both are A B C made of lead. When the containers are heated, some liquid spills out. Rank the following containers with least to most overflow. Use the values in Table 1 for the coefficients of volume expansion to justify your answer. water in lead mercury in lead D
Transcribed Image Text:Identical containers A and B are both made of steel but A is completely filled with water while B is completely filled with mercury. Containers C and D, both identical to A and B, are also completely filled with water and mercury, respectively, but both are A B C made of lead. When the containers are heated, some liquid spills out. Rank the following containers with least to most overflow. Use the values in Table 1 for the coefficients of volume expansion to justify your answer. water in lead mercury in lead D
Table 1. Average coefficients of linear and volume expansion of some common materials. The values listed below are measured at 20°C which means that at other temperatures, these values may change (Urone et al., 2012). Material Aluminum Brass Copper Gold Iron or steel Invar Lead Silver Glass (ordinary) Glass (Pyrex®) Quartz Concrete Marble (average) Ether Ethyl alcohol Petrol Glycerin Mercury Water Air & most gases at atmospheric pressure Coefficient of Linear Expansion, a (1/K) at 20 °C 25x10-6 19x10-6 17x10-6 14×106 12x10-6 0.9×10 29x10-6 18x10-6 9x10-6 3x10-6 0.4×106 12×106 7×106 Coefficient of Volume Expansion, B (1/K) at 20 °C 75x10-6 56×106 51×106 42x10-6 35×106 2.7×106 87×106 54×106 27×106 9x10-6 1×106 36×106 2.1×106 1650x106 1100×106 950×10-6 500x106 180x106 210×106 3400×106
Transcribed Image Text:Table 1. Average coefficients of linear and volume expansion of some common materials. The values listed below are measured at 20°C which means that at other temperatures, these values may change (Urone et al., 2012). Material Aluminum Brass Copper Gold Iron or steel Invar Lead Silver Glass (ordinary) Glass (Pyrex®) Quartz Concrete Marble (average) Ether Ethyl alcohol Petrol Glycerin Mercury Water Air & most gases at atmospheric pressure Coefficient of Linear Expansion, a (1/K) at 20 °C 25x10-6 19x10-6 17x10-6 14×106 12x10-6 0.9×10 29x10-6 18x10-6 9x10-6 3x10-6 0.4×106 12×106 7×106 Coefficient of Volume Expansion, B (1/K) at 20 °C 75x10-6 56×106 51×106 42x10-6 35×106 2.7×106 87×106 54×106 27×106 9x10-6 1×106 36×106 2.1×106 1650x106 1100×106 950×10-6 500x106 180x106 210×106 3400×106
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