• question_answer A certain gas is taken to the five states represented by dots in the graph. The plotted lines are isotherms. Order of the most probable speed ${{V}_{p}}$of the molecules at these five states is - A) ${{V}_{P\text{ }at\text{ }3}}>{{V}_{P\text{ }at\text{ }1}}={{V}_{P\text{ }at\text{ }2}}>{{V}_{P\text{ }at\text{ }4}}={{V}_{P\text{ }at\text{ }5}}$ B) ${{V}_{P\text{ }at\text{ 1}}}>{{V}_{P\text{ }at\text{ 2}}}={{V}_{P\text{ }at\text{ 3}}}>{{V}_{P\text{ }at\text{ }4}}>{{V}_{P\text{ }at\text{ }5}}$ C) ${{V}_{P\text{ }at\text{ 3}}}>{{V}_{P\text{ }at\text{ 2}}}={{V}_{P\text{ }at\text{ 4}}}>{{V}_{P\text{ }at\text{ 1}}}>{{V}_{P\text{ }at\text{ }5}}$ D) Insufficient information to predict the result.

Stages 1 and 2 are at same temperature also stages 4 and 5 are at same temperature. As, ${{V}_{P}}$ is more at higher temperature and same at all stages at equal temperature. $\therefore {{V}_{P3}}>{{V}_{P1}}={{V}_{P2}}>{{V}_{P4}}={{V}_{P5}}$ Hence [A].