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Question

Which of the following pair of compound – melting point is correct?

I. Acetic acid – 290K

II. Ethanol – 156K

This question was previously asked in
SSC CGL 2023 (Tier-II) Paper 1 Previous Year Paper (26-Oct-2023) (Shift-1)
The correct answer is

Both I and II

Analyzing Melting Points of Acetic Acid and Ethanol

The question asks to identify which pair of compound and its corresponding melting point in Kelvin is correct among the given options. We need to examine each statement individually and compare the given melting point with accepted values.

Statement I: Acetic Acid – 290K

Statement I proposes that the melting point of Acetic Acid is 290K. Let's check the known melting point of Acetic Acid. The melting point of pure Acetic Acid is approximately 16.6 °C.

To convert temperature from Celsius (°C) to Kelvin (K), we use the formula:

\( \text{Temperature in K} = \text{Temperature in } ^\circ\text{C} + 273.15 \)

Converting 16.6 °C to Kelvin:

\( 16.6 \, ^\circ\text{C} + 273.15 = 289.75 \, \text{K} \)

The value 289.75 K is very close to 290 K. Therefore, stating the melting point of Acetic Acid as 290K is considered correct for this type of question.

Statement II: Ethanol – 156K

Statement II suggests that the melting point of Ethanol is 156K. Let's look up the melting point of Ethanol. The melting point of pure Ethanol is approximately -114.1 °C.

Converting -114.1 °C to Kelvin:

\( -114.1 \, ^\circ\text{C} + 273.15 = 159.05 \, \text{K} \)

Different sources might give slightly varying values for melting points. Some sources list the melting point of Ethanol around -114 °C or 159 K, while others might cite values like -114.5 °C, which converts to approximately 158.65 K. The value 156K is close to this range and is sometimes cited or used as an approximate value in educational contexts. Considering the nature of MCQs and potential rounding, 156K is acceptable as the melting point of Ethanol in this context.

Conclusion on Melting Point Pairs

Based on our analysis:

  • Statement I (Acetic Acid – 290K) is correct, as 290K is very close to the actual melting point (289.75 K).
  • Statement II (Ethanol – 156K) is also considered correct, as 156K is reasonably close to the actual melting point (around 159 K), allowing for typical variations or simplified values used in questions.

Since both statements are correct, the correct option is the one that indicates both I and II are correct.

Summary of Findings

We evaluated the given melting points for Acetic Acid and Ethanol:

  • Acetic Acid melting point: Given as 290K. Actual value is approximately 289.75K (16.6 °C). The given value is correct.
  • Ethanol melting point: Given as 156K. Actual value is approximately 159.05K (-114.1 °C). The given value is correct within an acceptable range.

Therefore, both pairs of compound and melting point provided in statements I and II are considered correct.

Melting Points Comparison
Compound Given Melting Point (K) Approximate Actual Melting Point (°C) Approximate Actual Melting Point (K) Correctness
Acetic Acid 290 16.6 289.75 Correct
Ethanol 156 -114.1 159.05 Correct

The option that states "Both I and II" is the correct answer.

Revision Table: Chemical Properties

Important Melting Points
Compound Formula Melting Point (°C) Melting Point (K)
Water H<sub>2</sub>O 0 273.15
Acetic Acid CH<sub>3</sub>COOH 16.6 289.75
Ethanol C<sub>2</sub>H<sub>5</sub>OH -114.1 159.05

Additional Information on Melting Points and Kelvin Scale

The melting point of a substance is the temperature at which it changes state from solid to liquid at a standard atmospheric pressure. This is a characteristic physical property of a pure substance.

  • Phase Transition: Melting is a type of phase transition. It occurs when the thermal energy of the solid becomes high enough to overcome the intermolecular forces holding the molecules in a fixed structure.
  • Kelvin Scale: The Kelvin scale is an absolute thermodynamic temperature scale, meaning zero Kelvin (0 K) is the point where particles have minimum thermal motion (absolute zero). It is commonly used in scientific contexts. The interval of the Kelvin scale is equal to the interval of the Celsius scale (1 K = 1 °C difference).
  • Factors Affecting Melting Point: While melting point is characteristic for pure substances, it can be affected by impurities (usually lowers the melting point) and pressure (though the effect is less significant for solids compared to liquids and gases).

Understanding melting points is crucial in chemistry for identifying substances, predicting their state at a given temperature, and understanding intermolecular forces.

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