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For a certain gas which deviates a little from ideal behaviour, the values of density, p were measured at different values of pressure, P. The plot of Pip on the Y-axis versus P on the X-axis was nonlinear and had an intercept on the Y-axis, which was equal      
 Where M = molar mass.
  • a)
    RT/M
  • b)
    M/RT
  • c)
    RT
  • d)
    RT/V
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
For a certain gas which deviates a little from ideal behaviour, the va...
For constant pressure V α T, hence linear dependence with the slope
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For a certain gas which deviates a little from ideal behaviour, the va...
Understanding the Nonlinear Behavior
In the context of real gases, deviations from ideal behavior can be analyzed through the relationship between pressure (P), density (p), and molar mass (M). The given problem highlights a plot of Pip versus P, which is critical for understanding these deviations.
Analyzing the Equation
1. Ideal Gas Law Recap: For an ideal gas, the equation can be expressed as:
P = (ρM)/(RT)
Where:
- P = Pressure
- ρ = Density
- M = Molar Mass
- R = Universal Gas Constant
- T = Temperature
2. Rearranging the Equation: By multiplying both sides by ρ, we obtain:
Pip = (M/RT) * P
Identifying the Y-Intercept
- When plotting Pip on the Y-axis against P on the X-axis, the intercept represents the value of Pip when P = 0.
- From the rearranged equation, if P approaches 0, the term (M/RT) indicates that the intercept on the Y-axis should equal RT/M.
Conclusion: Correct Answer
The intercept on the Y-axis is:
- RT/M, which corresponds to option (a).
This behavior highlights how real gases can deviate from ideal conditions, emphasizing the importance of molar mass, temperature, and the gas constant in understanding gas behavior under various pressures.
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For a certain gas which deviates a little from ideal behaviour, the values of density, p were measured at different values of pressure, P. The plot of Pip on the Y-axis versus P on the X-axis was nonlinear and had an intercept on the Y-axis, which was equal Where M = molar mass.a)RT/Mb)M/RTc)RTd)RT/VCorrect answer is option 'A'. Can you explain this answer?
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