Liquid and Gaseous States

In the following statements, a statement of assertion is followed by a statement of reason. Select a suitable answer from the following option:

Assertion | : | At low pressure, Van der Waal's equation is reduced to $\left[\mathrm{P}+\frac{\mathrm{a}}{{\mathrm{V}}^{2}}\right]V=\mathrm{RT}$ . |

Reason | : | The compressibility factor corresponding to low pressure is given by $\left(1-\frac{\mathrm{RT}\mathrm{V}}{\mathrm{a}}\right)$. |

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AIIMS 0

Match the column I with column II with the appropriate parameters.

Column I |
Column II |
||

A | Critical Pressure | p | $\frac{a}{27{b}^{2}}$ |

B | Boyles temperature | q | $\frac{2a}{Rb}$ |

C | Inversion temperature | r | $\frac{a}{Rb}$ |

D | critical temperature | s | $\frac{8a}{27Rb}$ |

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JEE Mains 0

Read the following statements. There is an assertion followed by a reason. Choose the correct answer from the following option:

Assertion | : | The value of P_{c}, V_{c} and T_{c }are $\frac{\mathrm{a}}{27{\mathrm{b}}^{2}},3\mathrm{b}\mathrm{and}\frac{{\displaystyle 8\mathrm{a}}}{{\displaystyle 27\mathrm{Rb}}}$ respectively. |

Reason | : | At critical conditions, the compressibility factor Z is $\raisebox{1ex}{$8$}\!\left/ \!\raisebox{-1ex}{$3$}\right.$ . |

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AIIMS 0

For 3 moles of a gas at a constant pressure of 0.124 atm, a graph is plotted between logV and logT, where 'V' and 'T' are in litre and Kelvin, respectively. Which of the following statements is correct ?

(I) | The intercept of Y-axis is equal to log 1.98. |

(II) | Straight line with a slope of +1 is obtained. |

(III) | Straight line with a slope of –1 is obtained. |

(IV) | The intercept of Y-axis is equal to 2.303. |

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AIIMS 0