JEE Main & Advanced Chemistry States of Matter Question Bank Ideal gas equation and Related gas laws

  • question_answer Pressure remaining the same, the volume of a given mass of an ideal gas increases for every degree centigrade rise in temperature by definite fraction of its volume at [CBSE PMT 1989]

    A)                 \[{{0}^{o}}C\]   

    B)                 Its critical temperature

    C)                 Absolute zero   

    D)                 Its Boyle temperature

    Correct Answer: A

    Solution :

               \[{{V}_{t}}={{V}_{o}}(1+{{\alpha }_{v}}t)\]                    \[\because ({{V}_{2}}-{{V}_{1}})=\Delta V={{V}_{o}}\alpha ({{t}_{2}}-{{t}_{1}})\]                    if \[{{t}_{2}}-{{t}_{1}}={{1}^{o}}\]then \[\Delta V=\alpha {{V}_{o}}\]                                 For every \[{{1}^{o}}C\]increase in temperature, the volume of a given mass of an ideal gas increases by a definite fraction \[\frac{1}{273.15}\]of \[{{V}_{o}}\]. Here \[{{V}_{o}}\] is volume at \[{{0}^{o}}C\] temperature.


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