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Heat and Thermodynamics question

2010 · Shift 1 · Q62
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  5. /2010 · Shift 1 · Q62

Heat and Thermodynamics question

2010 · Shift 1 · Q62

JEE AdvancedPhysicsHeat and ThermodynamicsMCQ+2 / −0.5
A real gas behaves like an ideal gas if its
  1. A
    pressure and temperature are both high
  2. B
    pressure and temperature are both low
  3. C
    pressure is high and temperature is low
  4. D
    pressure is low and temperature is high
View written solutionFree

Correct answer: D

  1. Condition for a real gas to behave ideally

    A real gas approaches ideal gas behavior when the effect of:

    • intermolecular forces becomes negligible, and
    • molecular volume becomes negligible compared to the container volume.

  2. Effect of pressure

    At low pressure, gas molecules are far apart. Hence:

    • intermolecular attraction is very small,
    • volume occupied by molecules is negligible compared to total volume.

    So, low pressure favors ideal behavior.

  3. Effect of temperature

    At high temperature, molecules have large kinetic energy. Therefore, intermolecular attractive forces become relatively unimportant.

    So, high temperature also favors ideal behavior.

  4. Conclusion

    A real gas behaves most like an ideal gas at: low pressure and high temperature\boxed{\text{low pressure and high temperature}}low pressure and high temperature​

  5. Checking options

    • A: pressure high, temperature high →\rightarrow→ high pressure does not favor ideality.
    • B: pressure low, temperature low →\rightarrow→ low temperature does not favor ideality.
    • C: pressure high, temperature low →\rightarrow→ worst case for ideal behavior.
    • D: pressure low, temperature high →\rightarrow→ correct.

Therefore, the correct option is: D\boxed{D}D​

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