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At constant pressure , the volume of fix...

At constant pressure , the volume of fixed mass of an ideal gas is directly proportional to

A

Absolute temperature

B

Degree contigrade

C

Degree Fahrenheit

D

None

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The correct Answer is:
To solve the question, we need to understand the relationship between the volume of an ideal gas and its temperature at constant pressure. This relationship is described by Charles's Law. ### Step-by-Step Solution: 1. **Understand the Ideal Gas Law**: The ideal gas law is given by the equation: \[ PV = nRT \] where \( P \) is the pressure, \( V \) is the volume, \( n \) is the number of moles, \( R \) is the gas constant, and \( T \) is the temperature. 2. **Identify the Conditions**: The question states that the pressure is constant and we have a fixed mass of gas. This means that \( P \) and \( n \) are constant. 3. **Rearranging the Ideal Gas Law**: Since \( P \) and \( n \) are constant, we can rearrange the ideal gas law to focus on volume and temperature: \[ V = \frac{nRT}{P} \] Since \( n \), \( R \), and \( P \) are constants, we can see that volume \( V \) is directly proportional to temperature \( T \): \[ V \propto T \] 4. **Temperature in Kelvin**: It is important to note that temperature \( T \) must be measured in Kelvin for this relationship to hold true. The Kelvin scale is the absolute temperature scale, where 0 Kelvin is absolute zero. 5. **Conclusion**: Therefore, at constant pressure, the volume of a fixed mass of an ideal gas is directly proportional to the absolute temperature (in Kelvin). ### Final Answer: The volume of a fixed mass of an ideal gas at constant pressure is directly proportional to **absolute temperature**.

To solve the question, we need to understand the relationship between the volume of an ideal gas and its temperature at constant pressure. This relationship is described by Charles's Law. ### Step-by-Step Solution: 1. **Understand the Ideal Gas Law**: The ideal gas law is given by the equation: \[ PV = nRT \] ...
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NARAYNA-STATES OF MATTER-EXERCISE - 1
  1. At constant temperature, in a given mass of an ideal gas -

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  2. Which of the following graph represent Boyle's law ?

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  3. At constant pressure , the volume of fixed mass of an ideal gas is dir...

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  4. In a closed vessel of 5 litres capacity, 1 g of O(2) is heated from 3...

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  5. S.I. unit of gas constant R is

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  6. If three unreactive gases having partial pressures , P(A) , P(B) and P...

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  7. According to Graham's law, at a given temperature, the ratio of the ra...

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  8. A gas diffuse (1)/(5) times as fast as hydrogen at same pressure. Its ...

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  9. Which of the following pairs will effuse at the same rate through a po...

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  10. 4.4 g of a gas at STP occupies a volume of 2.24 L. The gas can be :

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  11. The rate of diffusion of hydrogen gas is

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  12. Hydrogen diffuses six times faster than gas A. The molar mass of gas A...

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  13. If the absolute temperature of a gas is doubled and the pressure is re...

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  14. The kinetic energy of 1 mole of gas is equal to -

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  15. Kinetic energy and pressure of a gas of unit volume are related as:

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  16. A helium atom is two times heavier than a hydrogen molecule. At 298 K,...

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  17. Which of the following expressions correctly represents the relationsh...

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  18. An ideal gas will have maximum density when

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  19. Absolute zero is defined as the temperture

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  20. The ratio among most probable velocity, mean velocity and root mean ve...

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