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    2.

    If C1,C2,C3{C_1},{C_2},{C_3}.... represent the speeds of n1,n2,n3,…{n_1},{n_2},{n_3}, \ldots molecules, then the root mean square speed is:

    A

    [n1C12+n2C22+n3C32+…n1+n2+n3+…]1/2{\left[ {\frac{{{n_1}C_1^2 + {n_2}C_2^2 + {n_3}C_3^2 + \ldots }}{{{n_1} + {n_2} + {n_3} + \ldots }}} \right]^{1/2}}

    B

    [n12C12+n22C22+n32C32+…n1+n2+n3+…]1/2{\left[ {\frac{{n_1^2C_1^2 + n_2^2C_2^2 + n_3^2C_3^2 + \ldots }}{{{n_1} + {n_2} + {n_3} + \ldots }}} \right]^{1/2}}

    C

    (n1C12)1/2n1+(n2C22)1/2n2+(n3C32)1/2n3+…\frac{{{{\left( {{n_1}C_1^2} \right)}^{1/2}}}}{{{n_1}}} + \frac{{{{\left( {{n_2}C_2^2} \right)}^{1/2}}}}{{{n_2}}} + \frac{{{{\left( {{n_3}C_3^2} \right)}^{1/2}}}}{{{n_3}}} + \ldots

    D

    [(n1C1+n2C2+n3C3+…)2(n1+n2+n3+…)]1/2{\left[ {\frac{{{{\left( {{n_1}{C_1} + {n_2}{C_2} + {n_3}{C_3} + \ldots } \right)}^2}}}{{\left( {{n_1} + {n_2} + {n_3} + \ldots } \right)}}} \right]^{1/2}}

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    6.

    The rms speed of hydrogen is 7\sqrt 7 times the rms speed of nitrogen. If TT is the temperature of the gas, then

    A

    TH2=TN2{T_{{H_2}}} = {T_{{N_2}}}

    B

    {T_{{H_2}}} > {T_{{N_2}}}

    C

    {T_{{H_2}}} < {T_{{N_2}}}

    D

    TH2=7TN2{T_{{H_2}}} = \sqrt {7{T_{{N_2}}}}

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