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Ideal Gas Equation from KTG

An experiment...

Question

An experiment is carried on a fixed amount of gas at different temperature and at high pressure such that it deviates from the ideal gas behaviour. The variation of $\frac{p V}{R T}$ with $p$ is shown in the diagram. The correct variation will correspond to :

A

Curve

A

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B

Curve

B

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C

Curve

C

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D

Curve

D

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Solution

The correct option is A Curve $B$
At lower pressure, we can assume that given gas behaves as ideal gas so $\frac{p V}{R T} =$ constant but when pressure increase, the decrease in volume will not take place in same proportion so $\frac{p V}{R T}$ will increase.

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Similar questions

Q. An experiment is carried on a fixed amount of gas at different temperatures and at high pressure such that it deviates from the ideal gas behaviour. The variation of

(\frac{P V}{R T})

with particle is shown in the figure. The correct variation will correspond to?

Q. The ideal gas law, although convenient, has limitations. Most gases tend to deviate from ideal behaviour. For 1 mole of gas, plotting a curve of

Z = \frac{P V}{R T}

v/s P gives us an idea of the deviation.

For curve C, find

Z

for 1 l of the gas at a pressure where

b

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a = 4.225 a t m l^{2} m o l^{2}

Q. When a sample of ideal gas is changed from an initial state to a final state, various curves can be plotted for the process like P-V curve, V-T curve,P-T curve etc.
For example, P-V curve for a fixed amount of an ideal gas at constant temperature is a rectangular hyperbola, V-T curve for a fixed amount of an ideal gas at constant volume is again a straight line. However, the shapes may vary if the constant parameters are also changed.
Now, answer the questions :
Which of the following statement(s) is/are correct regarding a fixed amount of ideal gas undergoing the following process?

Q. The ideal gas law, although convenient, has limitations. Most gases tend to deviate from ideal behaviour. For 1 mole of gas, plotting a curve of

Z = \frac{P V}{R T}

v/s P gives us an idea of the deviation.

Curve C could be ____.

Q. The sketch shows the plot of Z v/s P for a hypothetical gas for one mole at three distinct temperature . Boyle's temperature is the temperature at which a gas shows ideal behavior over a pressure range in the low-pressure region .Boyle's temperature

(T_{b})

\frac{a}{R b}

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C O_{2}

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H_{2}

O^{0}

C as shown above.At high pressure suppose all the constant temperature curve varies linearly with pressure according to the following equation

Z = 1 + \frac{P b}{R T} (R = 2 c a l m o l^{- 1} K^{- 1}

Which of the following is correct?

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