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Which of the following statements are in...

Which of the following statements are incorrect?

A

Molar volume of every gas at STP is 22.4 L

B

Under critical states compressibility factor is 1

C

All gases will have equal value of average KE at a given temperature

D

At absolute zero, KE is `3//2` R

Text Solution

AI Generated Solution

The correct Answer is:
To determine which statements are incorrect regarding the properties of gases, we will analyze each statement one by one. ### Step-by-step Solution: 1. **Statement 1: "The molar volume of every gas at STP is 22.4 liters."** - At Standard Temperature and Pressure (STP), the molar volume of an ideal gas is indeed 22.4 liters. However, this statement is incorrect because real gases do not always conform to this value due to intermolecular forces and non-ideal behavior. Therefore, this statement is **incorrect**. 2. **Statement 2: "Under critical state, the compressibility factor is 1."** - The compressibility factor (Z) is defined as Z = PV/RT. For ideal gases, Z = 1. However, at the critical point, real gases do not behave ideally, and Z can be greater or less than 1. Thus, this statement is also **incorrect**. 3. **Statement 3: "For all gases, the average kinetic energy at a given temperature is equal."** - The average kinetic energy of a gas is given by the equation \( KE = \frac{3}{2}RT \) for ideal gases. However, for real gases, the average kinetic energy can vary depending on the degrees of freedom and the interactions between molecules. Therefore, this statement is **incorrect**. 4. **Statement 4: "At absolute zero, the kinetic energy is \( \frac{3}{2}R \)."** - According to the kinetic molecular theory, the kinetic energy of an ideal gas approaches zero as the temperature approaches absolute zero (0 K). Thus, stating that the kinetic energy is \( \frac{3}{2}R \) at absolute zero is incorrect. Therefore, this statement is also **incorrect**. ### Conclusion: All four statements provided are incorrect.

To determine which statements are incorrect regarding the properties of gases, we will analyze each statement one by one. ### Step-by-step Solution: 1. **Statement 1: "The molar volume of every gas at STP is 22.4 liters."** - At Standard Temperature and Pressure (STP), the molar volume of an ideal gas is indeed 22.4 liters. However, this statement is incorrect because real gases do not always conform to this value due to intermolecular forces and non-ideal behavior. Therefore, this statement is **incorrect**. 2. **Statement 2: "Under critical state, the compressibility factor is 1."** ...
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