319

You visited us 319 times! Enjoying our articles? Unlock Full Access!

Molecular Speeds - Vrms, Vavg, Vmps

At what tempe...

Question

At what temperature the RMS velocity of $S O_{2}$ be same as that of $O_{2}$ at $303 K$ ?

273 K

No worries! We‘ve got your back. Try BYJU‘S free classes today!

606 K

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

303 K

No worries! We‘ve got your back. Try BYJU‘S free classes today!

403 K

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $606 K$
At constant temperature, $V_{r m s} = \sqrt{\frac{3 R T}{M}}$

According to question, $(V_{r m s})_{O_{2}} = (V_{r m s})_{S O_{2}}$

$∴$ $\sqrt{\frac{3 R T_{O_{2}}}{M_{O_{2}}}}$ = $\sqrt{\frac{3 R T_{S O_{2}}}{M_{S O_{2}}}}$

$⟹ T_{S O_{2}} = \frac{T_{O_{2}} \times M_{S O_{2}}}{M_{O_{2}}}$

$∴$ $T_{S O_{2}} = \frac{303 \times 64}{32}$

$∴$ $T_{S O_{2}} = 606 K$

Suggest Corrections

Similar questions

S O_{2}

O_{2}

303 K

At what temperature the RMS velocity of SO2 be same as that of O2 at 303 K

S O_{2}

O_{2}

r m s

O_{2}

r m s

S O_{2}

127^{o} C

S O_{2}

O_{2}

Join BYJU'S Learning Program