What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and oxygen molecule dissociates into atomic oxygen?

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(B) The velocity of atomic oxygen doubles

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\(V _{ mms }=\sqrt{\frac{3 RT }{ M }}\)

\(T \rightarrow 2 T\)

\(M \rightarrow \frac{ M }{2}\)

\(V _{ rms } \propto \sqrt{\frac{ T }{ M }}\)

\(\Rightarrow\left(V_{\text {rms }}\right)_{\text {atomic }}=\left(V_{\text {rms }}\right)_{\text {molecular }} \times \sqrt{\frac{2}{1 / 2}}=2\left(V_{\text {ms }}\right)_{\text {molecular }}\)

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