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Boyle temperature of vaiour gases are gi...

Boyle temperature of vaiour gases are given below :
`{:("Gas",T_(B)(K),),(H_(2),117,),(He,23,),(CH_(4),498,),(O_(2),406,):}`
Which gas can be liquefied most easily ?

A

`H_(2)`

B

`CH_(4)`

C

`He`

D

`O_(2)`

Text Solution

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The correct Answer is:
To determine which gas can be liquefied most easily from the given data, we will analyze the boiling temperatures of the gases provided. ### Step-by-Step Solution: 1. **Understanding Boyle Temperature**: - The Boyle temperature (Tb) is the temperature at which a gas behaves ideally at a given pressure. It is also related to the critical temperature of the gas, which indicates how easily a gas can be liquefied. 2. **Given Data**: - The boiling temperatures of the gases are as follows: - Hydrogen (H₂): 117 K - Helium (He): 23 K - Methane (CH₄): 498 K - Oxygen (O₂): 406 K 3. **Identifying the Highest Boiling Temperature**: - From the given data, we can see the boiling temperatures: - H₂: 117 K - He: 23 K - CH₄: 498 K - O₂: 406 K - The highest boiling temperature is for Methane (CH₄) at 498 K. 4. **Conclusion**: - Since the gas with the highest boiling temperature is more likely to have a higher critical temperature, it can be liquefied more easily. Therefore, Methane (CH₄) can be liquefied most easily among the given gases. ### Final Answer: - The gas that can be liquefied most easily is **Methane (CH₄)**.

To determine which gas can be liquefied most easily from the given data, we will analyze the boiling temperatures of the gases provided. ### Step-by-Step Solution: 1. **Understanding Boyle Temperature**: - The Boyle temperature (Tb) is the temperature at which a gas behaves ideally at a given pressure. It is also related to the critical temperature of the gas, which indicates how easily a gas can be liquefied. 2. **Given Data**: ...
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