For accuracy of gas thermometer, the gas should be filled at

Options

A. low pressure and high temperature
B. high pressure and low temperature
C. low pressure
D. high temperature

Answer

To determine the conditions under which a gas thermometer should be filled for maximum accuracy, we can analyze the behavior of gases under different conditions.

### Step-by-Step Solution:

1. **Understanding the Gas Laws**:
- We start with the real gas equation:
\[ P + \frac{a n^2}{V^2} (V - nB) = nRT \]
- In this equation, \(P\) is the pressure, \(n\) is the number of moles, \(V\) is the volume, \(R\) is the universal gas constant, and \(T\) is the temperature.

2. **Ideal Gas Behavior**:
- Real gases behave like ideal gases under certain conditions, specifically at low pressures and high temperatures.
- The ideal gas equation is given by:
\[ PV = nRT \]

3. **Conditions for Accuracy**:
- For a gas thermometer to provide accurate measurements, the gas must behave ideally. This occurs when:
- The pressure is low enough to minimize intermolecular forces.
- The temperature is high enough to ensure that the gas particles have sufficient energy to overcome these forces.

4. **Conclusion**:
- Therefore, for maximum accuracy in a gas thermometer, the gas should be filled at **low pressure and high temperature**.

### Final Answer:
The gas should be filled at low pressure and high temperature for accuracy in a gas thermometer.

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