Points I,II and III in the following plot respectively correspond to 

\left ( V_{mp}: most probable velocity )

  • Option 1)

    V_{mp} \; of\; N_{2}\left ( 300\; K \right );V_{mp} \; of\; O_{2}\left ( 400\; K \right );V\; _{mp}\; of \; H_{2}\; \left ( 300K \right )

     

     

     

  • Option 2)

    V_{mp} \; of\; O_{2}\left ( 400\; K \right );V_{mp} \; of\; N_{2}\left ( 300\; K \right );V\; _{mp}\; of \; H_{2}\; \left ( 300K \right )

  • Option 3)

    V_{mp} \; of\; N_{2}\left ( 300\; K \right );V_{mp} \; of\; H_{2}\left ( 300\; K \right );V\; _{mp}\; of \; O_{2}\; \left ( 400K \right )

  • Option 4)

     V_{mp} \; of\; H_{2}\left ( 300\; K \right );V_{mp} \; of\; N_{2}\left ( 300\; K \right );V\; _{mp}\; of \; O_{2}\; \left ( 400K \right )

Answers (1)

V_{mp}=\sqrt{\frac{2RT}{M}}

V_{mp}\propto \sqrt{\frac{T}{M}}

For N_{2},O_{2},H_{2}

V_{mp}\left ( N_{2}\; at\; 300\; K\right ) \propto \sqrt{\frac{300}{28}}

V_{mp}\left ( O_{2}\; at\; 400\; K\right ) \propto \sqrt{\frac{400}{32}}

V_{mp}\left ( H_{2}\; at\; 300\; K\right ) \propto \sqrt{\frac{300}{2}}

\sqrt{\frac{300}{28}}< \sqrt{\frac{400}{32}}< \sqrt{\frac{300}{2}}

V_{mp}\; of\; N_{2}\left ( 300K \right )< V_{mp}\; of\; O_{2}\left ( 400K \right )< V_{mp }\; of\; H_{2}\left ( 300K \right )


Option 1)

V_{mp} \; of\; N_{2}\left ( 300\; K \right );V_{mp} \; of\; O_{2}\left ( 400\; K \right );V\; _{mp}\; of \; H_{2}\; \left ( 300K \right )

 

 

 

Option 2)

V_{mp} \; of\; O_{2}\left ( 400\; K \right );V_{mp} \; of\; N_{2}\left ( 300\; K \right );V\; _{mp}\; of \; H_{2}\; \left ( 300K \right )

Option 3)

V_{mp} \; of\; N_{2}\left ( 300\; K \right );V_{mp} \; of\; H_{2}\left ( 300\; K \right );V\; _{mp}\; of \; O_{2}\; \left ( 400K \right )

Option 4)

 V_{mp} \; of\; H_{2}\left ( 300\; K \right );V_{mp} \; of\; N_{2}\left ( 300\; K \right );V\; _{mp}\; of \; O_{2}\; \left ( 400K \right )

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