A gas at and has molar volume 20 percent smaller than that for an ideal gas under the same conditions. The correct option about the gas and its compressibility factor () is:

Question

A gas at  and  has molar volume 20 percent smaller than that for an ideal gas under the same conditions. The correct option about the gas and its compressibility factor () is:

Canvas Classes · Accepted Answer

🧠 The Deviation Detective
Compressibility factor () is the ratio of how a real gas behaves compared to an ideal gas. 
.

🗺️ The Quantitative Route
1. Analyze : The problem states the molar volume of the gas is 20 percent smaller than the ideal gas.
   - If , then .
   - .
   - Since , we conclude .
2. Interpret the Forces: 
   - When , the gas occupies less volume than expected. This means the molecules are being pulled together more efficiently than they would be by thermal motion alone.
   -

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