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For a real gas 'G' Z gt1 as STP Then for...

For a real gas `'G' Z gt1` as `STP` Then for `'G' :`
Which of the following is true `:`

A

1 mole of the gas occupies `22.4 L` at `NTP`

B

1 mole of the gas occupies `22.4L` at pressure higher than that at STP ( keeping temperature constant )

C

1 mole of the gas occupies `22.4 L` at pressure lower than that at STP ( keeping temperature constant )

D

None of above

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The correct Answer is:
To solve the question regarding the real gas 'G' with a compressibility factor \( Z > 1 \) at STP, we need to analyze the implications of this condition on the behavior of the gas. ### Step-by-Step Solution: 1. **Understanding the Compressibility Factor (Z)**: - The compressibility factor \( Z \) is defined as: \[ Z = \frac{V_m}{V_{real}} \] where \( V_m \) is the molar volume of an ideal gas (22.4 L at STP) and \( V_{real} \) is the molar volume of the real gas. 2. **Given Condition**: - We are given that \( Z > 1 \). This implies: \[ \frac{V_m}{V_{real}} > 1 \implies V_m > V_{real} \] - Rearranging gives us: \[ V_{real} < V_m \] - Since \( V_m = 22.4 \, \text{L} \), we conclude: \[ V_{real} < 22.4 \, \text{L} \] 3. **Analyzing the Options**: - The options provided are: 1. One mole of gas occupies 22.4 L at NTP. 2. One mole of gas occupies 22.4 L at pressure higher than that at STP. 3. One mole of gas occupies 22.4 L at pressure lower than that at STP. 4. **Relation Between Pressure and Volume**: - According to Boyle's law, at constant temperature, pressure and volume are inversely related: \[ P \propto \frac{1}{V} \] - If the volume of the gas is less than 22.4 L (as we found), to achieve a volume of 22.4 L, the pressure must be increased. 5. **Conclusion**: - Therefore, the correct statement is: - **Option 2**: One mole of gas occupies 22.4 L at pressure higher than that at STP. ### Final Answer: The correct option is **Option 2**: One mole of gas occupies 22.4 L at pressure higher than that at STP.

To solve the question regarding the real gas 'G' with a compressibility factor \( Z > 1 \) at STP, we need to analyze the implications of this condition on the behavior of the gas. ### Step-by-Step Solution: 1. **Understanding the Compressibility Factor (Z)**: - The compressibility factor \( Z \) is defined as: \[ Z = \frac{V_m}{V_{real}} ...
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