Protective Equipment for this laboratory: 1. Charles\' Law suggests that an idea

Question

Protective Equipment for this laboratory: 1. Charles' Law suggests that an ideal gas would have zero volume at absolute zero temperature (0 Kelvin). If a real gas could be cooled to absolute zero, would its volume actually become zero? Explain why or why not. (Hint: Remember the ways in which real gases differ from ideal gases.) The volume of a sample of methane (CH4) collected over water at 50.0°C and 711 torr is measured to be 441 mL. Since it was collected over water, the gas sample is a mixture of methane and water vapor. 2· a. Look up and record the vapor pressure of water at this temperature: b. What is the partial pressure of methane in the gas mixture? c. What is the mole fraction of methane in the gas mixture? d. How many total moles are in the gas mixture? How many moles of methane are in the gas mixture? e.

Explanation / Answer

Answer 1

Let us understand it in this way:

Theoretical state of gas at absolute zero:

At the absolute zero the gases no longer remain as gas, but rather a solid

If we coll the gas then there is phase transition from Gas to liquid and then solid, but at even this stage the atoms are not motionless as being very tiny in nature and are explained by the Heisenberg Uncertainty Principle (HUP).

For example Helium it remains a liquid even at absolute zero

2. Practical state of gases at Low temperature:

firstly the absolute zero is not possible to attain as entropy in the system can never be equal to zero

now, as per the ideal gas equation,

PV=nRT

that means T=0

so n and R product will also be zero

Therefore the product PV must be zero or the volume of the gas must be zero

Hence above conditions will not be possible for a real gas.

Thanks :)

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