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States of Matter
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09/09/2021 9:31 pm
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The temperature at which oxygen molecules have the same root mean square speed as helium atoms have at 300 K is
Atomic masses: He = 4 u, O = 16 u)
(a) 300 K
(b) 600 K
(c) 1200 K
(d) 2400 K
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09/09/2021 9:37 pm
Correct answer: (d) 2400 K
Explanation:
Vrms = \(\sqrt{\frac{3RT}{M}}\)
Vrms(O2) = Vrms(He)
\(\sqrt{\frac{3RT_{O_2}}{M_{O_2}}}\) = \(\sqrt{\frac{3RT_{He}}{M_{He}}}\)
or \(\frac{T_{O_2}}{M_{O_2}}\) = \(\frac{T_{He}}{M_{He}}\)
∴ TO2 = \(\frac{300 \times 32}{4}\)
= 2400K
This post was modified 3 years ago by Shivani siva