1. How does the Henry’s Law constant (KH) relate to the solubility of a gas in a liquid?
1. हेनरी के नियम नियतांक (KH) का किसी द्रव में गैस की विलेयता से क्या संबंध है?
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Detailed Answer
The Henry’s Law constant (KH) expresses the relationship
between the partial pressure of a gas above a liquid and the amount of that
gas dissolved in the liquid at a particular temperature.
P = KHx
Where:
P = partial pressure of the gas
KH = Henry’s Law constant
x = mole fraction of the dissolved gas
P = partial pressure of the gas
KH = Henry’s Law constant
x = mole fraction of the dissolved gas
Relation with Solubility
From the equation:
P = KHx
we get:
P = KHx
we get:
x = P / KH
At constant pressure, the solubility of the gas is inversely proportional to
KH.
Therefore:
Higher KH → Lower solubility
Lower KH → Higher solubility
Therefore:
Higher KH → Lower solubility
Lower KH → Higher solubility
KH ↑ → Solubility ↓
KH ↓ → Solubility ↑
KH ↓ → Solubility ↑
Why?
If KH is large, a greater gas pressure is required to maintain the
same dissolved concentration. Hence, the gas has a lower tendency to remain
dissolved in the liquid.
If KH is small, a relatively small pressure can maintain a larger amount of dissolved gas. Thus, the gas is more soluble.
If KH is small, a relatively small pressure can maintain a larger amount of dissolved gas. Thus, the gas is more soluble.
Example
Consider two gases at the same temperature:
Gas A: KH = 20 atm
Gas B: KH = 50 atm
At the same pressure, Gas A will have greater solubility because its KH value is smaller.
Gas A: KH = 20 atm
Gas B: KH = 50 atm
At the same pressure, Gas A will have greater solubility because its KH value is smaller.
Effect of Temperature
For most gases, solubility decreases as temperature increases. In the
convention P = KHx, KH generally increases with
temperature.
Temperature ↑ → KH ↑ → Solubility ↓
Important Note
Different textbooks may use different definitions of Henry’s Law constant.
For example, if the equation is written as:
C = kP
then a larger value of k means greater solubility. Therefore, always check the equation used to define the constant before interpreting its numerical value.
C = kP
then a larger value of k means greater solubility. Therefore, always check the equation used to define the constant before interpreting its numerical value.
Final Answer
For the convention P = KHx, Henry’s Law constant is inversely
related to the solubility of a gas. At constant pressure,
x = P/KH. Therefore, a higher KH means lower gas
solubility, while a lower KH means higher gas solubility.
विस्तृत उत्तर
Henry’s Law constant (KH) गैस के आंशिक दाब और द्रव में
घुली हुई गैस की मात्रा के बीच संबंध बताता है। यह संबंध एक निश्चित तापमान पर
लागू होता है।
P = KHx
जहाँ:
P = गैस का आंशिक दाब
KH = Henry’s Law constant
x = द्रव में घुली गैस का mole fraction
P = गैस का आंशिक दाब
KH = Henry’s Law constant
x = द्रव में घुली गैस का mole fraction
विलेयता से संबंध
समीकरण:
P = KHx
से:
P = KHx
से:
x = P / KH
स्थिर दाब पर गैस की विलेयता KH के व्युत्क्रमानुपाती होती है।
अर्थात:
अधिक KH → कम विलेयता
कम KH → अधिक विलेयता
अर्थात:
अधिक KH → कम विलेयता
कम KH → अधिक विलेयता
KH ↑ → विलेयता ↓
KH ↓ → विलेयता ↑
KH ↓ → विलेयता ↑
ऐसा क्यों होता है?
यदि KH का मान अधिक है, तो समान मात्रा में गैस को द्रव में घुलाए
रखने के लिए अधिक गैस दाब की आवश्यकता होती है। इसलिए गैस की द्रव में
विलेयता कम होती है।
यदि KH का मान कम है, तो कम दाब पर भी अधिक गैस द्रव में घुली रह सकती है। इसलिए गैस अधिक soluble होती है।
यदि KH का मान कम है, तो कम दाब पर भी अधिक गैस द्रव में घुली रह सकती है। इसलिए गैस अधिक soluble होती है।
उदाहरण
समान तापमान पर:
Gas A: KH = 20 atm
Gas B: KH = 50 atm
समान pressure पर Gas A की विलेयता अधिक होगी क्योंकि उसका KH कम है।
Gas A: KH = 20 atm
Gas B: KH = 50 atm
समान pressure पर Gas A की विलेयता अधिक होगी क्योंकि उसका KH कम है।
तापमान का प्रभाव
अधिकांश गैसों की विलेयता तापमान बढ़ने पर कम होती है। P = KHx
वाले convention में तापमान बढ़ने पर सामान्यतः KH बढ़ता है।
तापमान ↑ → KH ↑ → गैस की विलेयता ↓
महत्वपूर्ण नोट
अलग-अलग पुस्तकों में Henry’s Law constant को अलग-अलग तरीके से define किया
जा सकता है।
उदाहरण:
C = kP
इस convention में k का अधिक मान अधिक gas solubility को दर्शाता है। इसलिए numerical question में पहले यह देखना आवश्यक है कि KH किस equation द्वारा define किया गया है।
उदाहरण:
C = kP
इस convention में k का अधिक मान अधिक gas solubility को दर्शाता है। इसलिए numerical question में पहले यह देखना आवश्यक है कि KH किस equation द्वारा define किया गया है।
अंतिम उत्तर
P = KHx वाले convention में Henry’s Law constant गैस की
विलेयता के व्युत्क्रमानुपाती होता है। स्थिर दाब पर
x = P/KH होता है। इसलिए अधिक KH का अर्थ कम गैस
विलेयता तथा कम KH का अर्थ अधिक गैस विलेयता है।
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30 Related MCQs
30 संबंधित MCQs
1. Henry’s Law constant is represented by:
A. KH
B. Ka
C. Kb
D. Kw
Answer: A. KH
2. In P = KHx, x represents:
A. Pressure
B. Mole fraction of dissolved gas
C. Temperature
D. Volume
Answer: B. Mole fraction of dissolved gas
3. From P = KHx, x is:
A. P/KH
B. PKH
C. KH/P
D. P + KH
Answer: A. P/KH
4. At constant pressure, increasing KH causes solubility to:
A. Increase
B. Decrease
C. Remain constant
D. Become infinite
Answer: B. Decrease
5. At constant pressure, decreasing KH causes solubility to:
A. Increase
B. Decrease
C. Become zero
D. Remain unchanged
Answer: A. Increase
6. In P = KHx, KH and solubility are:
A. Directly related
B. Inversely related
C. Always equal
D. Unrelated
Answer: B. Inversely related
7. A gas with lower KH is generally:
A. More soluble
B. Less soluble
C. Insoluble
D. Solid
Answer: A. More soluble
8. A gas with higher KH requires what for the same dissolved concentration?
A. Higher pressure
B. Lower pressure
C. Zero pressure
D. No pressure
Answer: A. Higher pressure
9. Henry’s Law connects gas solubility with:
A. Partial pressure
B. Atomic radius
C. Ionisation energy
D. Electronegativity
Answer: A. Partial pressure
10. The solubility of most gases with increasing temperature:
A. Increases
B. Decreases
C. Remains unchanged
D. Becomes infinite
Answer: B. Decreases
11. In P = KHx convention, temperature increase generally causes KH to:
A. Increase
B. Decrease
C. Become zero
D. Become independent of temperature
Answer: A. Increase
12. Which gas is commonly used as an example in carbonated drinks?
A. CO2
B. NaCl
C. CaO
D. Fe
Answer: A. CO2
13. If P is doubled and KH remains constant, x will:
A. Double
B. Halve
C. Become zero
D. Remain unchanged
Answer: A. Double
14. If KH is doubled at constant P, x will:
A. Double
B. Become half
C. Become four times
D. Remain unchanged
Answer: B. Become half
15. Henry’s Law is generally considered at:
A. Constant temperature
B. Constant atomic number
C. Constant neutron number
D. Zero pressure
Answer: A. Constant temperature
16. Which equation is the mole-fraction form of Henry’s Law?
A. P = KHx
B. P = x/KH
C. x = PKH
D. P = x²
Answer: A. P = KHx
17. At constant pressure, x is proportional to:
A. KH
B. 1/KH
C. KH²
D. Zero
Answer: B. 1/KH
18. Henry’s Law constant depends on:
A. Temperature
B. Nature of gas
C. Nature of solvent
D. All of these
Answer: D. All of these
19. A lower KH generally indicates:
A. Greater gas solubility
B. Lower gas solubility
C. No dissolution
D. Gas solidification
Answer: A. Greater gas solubility
20. In P = KHx, P represents:
A. Partial pressure
B. Mole fraction
C. Temperature
D. Mass
Answer: A. Partial pressure
21. If Gas A has KH = 10 and Gas B has KH = 40, which is more soluble?
A. Gas A
B. Gas B
C. Both equally
D. Cannot ever dissolve
Answer: A. Gas A
22. Which change generally increases gas solubility?
A. Increase pressure
B. Increase temperature
C. Decrease pressure
D. Boil the solution
Answer: A. Increase pressure
23. In the convention P = KHx, KH is best described as:
A. Pressure required per unit mole fraction
B. Temperature per mole
C. Mass per volume
D. Density constant
Answer: A. Pressure required per unit mole fraction
24. Which statement is correct?
A. Higher KH means higher solubility in every convention
B. The equation defining KH must be checked
C. KH is always dimensionless
D. KH is independent of temperature
Answer: B. The equation defining KH must be checked
25. In C = kP convention, a larger k means:
A. Higher solubility
B. Lower solubility
C. No solubility
D. Zero concentration
Answer: A. Higher solubility
26. Gas solubility is generally higher when temperature is:
A. Lower
B. Higher
C. Infinite
D. Always irrelevant
Answer: A. Lower
27. A high KH gas has:
A. Greater tendency to dissolve
B. Lower solubility under P = KHx convention
C. Infinite solubility
D. No pressure requirement
Answer: B. Lower solubility under P = KHx convention
28. Which statement follows from x = P/KH?
A. Increasing pressure increases solubility
B. Increasing KH increases solubility
C. Pressure has no effect
D. KH is equal to x
Answer: A. Increasing pressure increases solubility
29. The value of KH can change when:
A. Temperature changes
B. The gas changes
C. The solvent changes
D. All of these
Answer: D. All of these
30. For P = KHx, the correct relationship is:
A. KH ↑ → Solubility ↑
B. KH ↑ → Solubility ↓
C. KH has no effect
D. Solubility is always zero
Answer: B. KH ↑ → Solubility ↓
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