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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

Text Solution

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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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Knowledge Check

  • The pressure of an ideal gas is directly proportional to

    A
    total kinetic energy
    B
    translational kinetic energy
    C
    rotational kinetic energy
    D
    vibrational kinetic energy
  • Pressure is directly proportional to

    A
    Force
    B
    Thrust
    C
    Area
    D
    Velocity
  • Pressure is directly proportional to

    A
    Force
    B
    Thrust
    C
    Area
    D
    Velocity
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