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In a gas equation, PV = RT, V refers to ...

In a gas equation, `PV = RT, V` refers to the volume of

A

any amount of gas

B

one gram of gas

C

one gram mole of gas

D

one litre of the gas

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The correct Answer is:
To solve the question regarding the ideal gas equation \( PV = RT \) and what the volume \( V \) refers to, we can break it down step by step: ### Step-by-Step Solution: 1. **Understanding the Ideal Gas Law**: The ideal gas law is given by the equation \( PV = nRT \), where: - \( P \) = pressure of the gas, - \( V \) = volume of the gas, - \( n \) = number of moles of the gas, - \( R \) = universal gas constant, - \( T \) = temperature of the gas in Kelvin. 2. **Identifying the Variables**: In the equation \( PV = RT \), we can see that \( V \) is the volume of the gas. However, we need to clarify what kind of volume this refers to. 3. **Relating to Moles**: From the ideal gas equation \( PV = nRT \), if we set \( n = 1 \) mole, we can simplify the equation to \( PV = RT \). This indicates that the volume \( V \) corresponds to the volume occupied by 1 mole of gas at the specified conditions of pressure and temperature. 4. **Conclusion**: Therefore, in the context of the question, the volume \( V \) in the equation \( PV = RT \) refers specifically to the volume of **1 mole of gas**. ### Final Answer: The volume \( V \) in the equation \( PV = RT \) refers to the volume of **1 mole of gas**.

To solve the question regarding the ideal gas equation \( PV = RT \) and what the volume \( V \) refers to, we can break it down step by step: ### Step-by-Step Solution: 1. **Understanding the Ideal Gas Law**: The ideal gas law is given by the equation \( PV = nRT \), where: - \( P \) = pressure of the gas, - \( V \) = volume of the gas, ...
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DC PANDEY ENGLISH-THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES-Check point 14.4
  1. The adjoining fgure shows graph of pressure and volume of a gas at two...

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  2. In a gas equation, PV = RT, V refers to the volume of

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  3. What is the degree of freedom in case of a monoatomic gas?

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  4. Calculate the total number of degree of freedom for a mole of diatomic...

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  5. The degrees of freedom of a molecul of a non-linear triatomic gas is (...

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  6. The mean kinetic energy of one mole of gas per degree of

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  7. The average translational kinetic energy of O(2) (molar mass 32) molec...

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  8. A perfect gas at 27^(@)C is heated at constant pressure so as to tripl...

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  9. 16 gram of oxygen, 14 gram of nitrogen and 11 gram of carbon dioxide a...

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  10. A balloon is filled at 27^(@)C and 1 atm pressure by 500 m^(3) He. At-...

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  11. Aperfect gas at 27^(@) C is heated at constant pressure soas to duuble...

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  12. Figure shows graphs of pressure versus density for an ideal gas at two...

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  13. From the p-T graph what conclusion can be drawn?

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  14. A cylinder containe 20 kg of N(2) gas (M= 28 kg K^(-1) mol^(-1)) at a ...

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  15. Two different isotherms representing the relationship between pressure...

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  16. A gas is found to obey the law P^(2)V = constant. The initial temperat...

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  17. A gas has volume V and pressure p. The total translational kinetic ene...

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  18. A vessel contains a mixture of one mole of Oxygen and two moles of Nit...

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  19. Two monoatomic gases are at absolute temperatures 300 K and 350 K res...

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  20. At 27^(@)C temperature, the kinetic energy of an ideal gas is E(1^.) I...

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