Column II gives certain systems undergoing a process. Column I suggests changes in some of the parameters related to the system. Match the statements in Column I to the appropriate process(es) from Column II:

Column I | Column II | ||
---|---|---|---|

(A) | The energy of the system is increased. | (P) | System : A capacitor, initially uncharged. Process : It is connected to a battery. |

(B) | Mechanical energy is provided to the system, which is converted into energy of random motion of its parts. | (Q) | System : A gas in an adiabatic container filled with an adiabatic piston. Process : The gas is compressed by pushing the piston. |

(C) | Internal energy of the system is converted into its mechanical energy. | (R) | System : A gas in a rigid container. Process : The gas gets cooled due to colder atmosphere surrounding it. |

(D) | Mass of the system is decreased. | (S) | System : A heavy nucleus, initially at rest. Process : The nucleus fissions into two fragments of nearly equal masses and some neutrons are emitted. |

(T) | System : A resistive wire loop. Process : The loop is placed in a time varying magnetic field perpendicular to its plane. |

Column I contains a list of processes involving expansion of an ideal gas. Match this with Column II describing the thermodynamic change during this process. Indicate your answer by darkening the appropriate bubbles of the 4 $$\times$$ 4 matrix given in the ORS.

Column I | Column II | ||
---|---|---|---|

(A) | An insulated container has two chambers separated by a valve. Chamber I contains an ideal gas and the Chamber II has vacuum. The valve is opened. |
(P) | The temperature of the gas decreases |

(B) | An ideal monatomic gas expands to twice its original volume such that its pressure P $$\propto$$ $$\frac{1}{\mathrm{V}^2}$$, where V is the volume of the gas | (Q) | The temperature of the gas increase or remains constant. |

(C) | An ideal monoatomic gas expands to twice its original volume such that its pressure P $$\propto$$ $$\frac{1}{\mathrm{V}^{4/3}}$$, where V is its volume | (R) | The gas loses heat |

(D) | An ideal monoatomic gas expands such that its pressure P and volume V follows the behaviour shown in the graph |
(S) | The gas gains heat |

An ideal gas is expanding such that PT$$^2$$ = constant. The coefficient of volume expansion of the gas is

STATEMENT 1

The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and its volume.

Because

STATEMENT 2

The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.