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4. A glass container is filled with 1 L of alcohol at 20 °CIf the temperature increases to 50 °C, calculate the apparent expansion of the alcoholThe coefficient of volumetric expansion for alcohol is 1.12 * 10 ^ - 4 * C ^ - 1 and for glassit is 9x10 °C?
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4. A glass container is filled with 1 L of alcohol at 20 °CIf the temp...
Understanding Apparent Expansion
When a liquid is heated, it expands. However, the container holding the liquid also expands. The concept of apparent expansion takes into account both the expansion of the liquid and the expansion of the container.
Given Data
- Volume of alcohol (V) = 1 L = 1000 cm³
- Initial temperature (T1) = 20 °C
- Final temperature (T2) = 50 °C
- Coefficient of volumetric expansion for alcohol (β_alcohol) = 1.12 x 10^-4 °C^-1
- Coefficient of volumetric expansion for glass (β_glass) = 9 x 10^-6 °C^-1
Calculating the Expansion of Alcohol
- Temperature change (ΔT) = T2 - T1 = 50 °C - 20 °C = 30 °C
- Volume expansion of alcohol (ΔV_alcohol) = V * β_alcohol * ΔT
= 1000 cm³ * (1.12 x 10^-4 °C^-1) * 30 °C
= 3.36 cm³
Calculating the Expansion of Glass
- Volume expansion of glass (ΔV_glass) = V * β_glass * ΔT
= 1000 cm³ * (9 x 10^-6 °C^-1) * 30 °C
= 0.27 cm³
Apparent Expansion of Alcohol
- Apparent expansion of the alcohol is calculated by subtracting the expansion of the glass from the expansion of the alcohol:
Apparent Expansion = ΔV_alcohol - ΔV_glass
= 3.36 cm³ - 0.27 cm³
= 3.09 cm³
Conclusion
The apparent expansion of the alcohol when heated from 20 °C to 50 °C is 3.09 cm³. This value indicates how much more the alcohol expands in comparison to the expansion of the glass container.
When a liquid is heated, it expands. However, the container holding the liquid also expands. The concept of apparent expansion takes into account both the expansion of the liquid and the expansion of the container.
Given Data
- Volume of alcohol (V) = 1 L = 1000 cm³
- Initial temperature (T1) = 20 °C
- Final temperature (T2) = 50 °C
- Coefficient of volumetric expansion for alcohol (β_alcohol) = 1.12 x 10^-4 °C^-1
- Coefficient of volumetric expansion for glass (β_glass) = 9 x 10^-6 °C^-1
Calculating the Expansion of Alcohol
- Temperature change (ΔT) = T2 - T1 = 50 °C - 20 °C = 30 °C
- Volume expansion of alcohol (ΔV_alcohol) = V * β_alcohol * ΔT
= 1000 cm³ * (1.12 x 10^-4 °C^-1) * 30 °C
= 3.36 cm³
Calculating the Expansion of Glass
- Volume expansion of glass (ΔV_glass) = V * β_glass * ΔT
= 1000 cm³ * (9 x 10^-6 °C^-1) * 30 °C
= 0.27 cm³
Apparent Expansion of Alcohol
- Apparent expansion of the alcohol is calculated by subtracting the expansion of the glass from the expansion of the alcohol:
Apparent Expansion = ΔV_alcohol - ΔV_glass
= 3.36 cm³ - 0.27 cm³
= 3.09 cm³
Conclusion
The apparent expansion of the alcohol when heated from 20 °C to 50 °C is 3.09 cm³. This value indicates how much more the alcohol expands in comparison to the expansion of the glass container.
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4. A glass container is filled with 1 L of alcohol at 20 °CIf the temperature increases to 50 °C, calculate the apparent expansion of the alcoholThe coefficient of volumetric expansion for alcohol is 1.12 * 10 ^ - 4 * C ^ - 1 and for glassit is 9x10 °C?
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4. A glass container is filled with 1 L of alcohol at 20 °CIf the temperature increases to 50 °C, calculate the apparent expansion of the alcoholThe coefficient of volumetric expansion for alcohol is 1.12 * 10 ^ - 4 * C ^ - 1 and for glassit is 9x10 °C? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 4. A glass container is filled with 1 L of alcohol at 20 °CIf the temperature increases to 50 °C, calculate the apparent expansion of the alcoholThe coefficient of volumetric expansion for alcohol is 1.12 * 10 ^ - 4 * C ^ - 1 and for glassit is 9x10 °C? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4. A glass container is filled with 1 L of alcohol at 20 °CIf the temperature increases to 50 °C, calculate the apparent expansion of the alcoholThe coefficient of volumetric expansion for alcohol is 1.12 * 10 ^ - 4 * C ^ - 1 and for glassit is 9x10 °C?.
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