Calculate the temperature at whivh the RMS velocity of S O 2 becomes equal to that of O 2 at 303 K

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Question: Answered & Verified by Expert

Calculate the temperature at whivh the RMS velocity of

S O_{2}

becomes equal to that of

O_{2}

at 303 K

ChemistryStates of MatterNEET

Options:

A 273 K
B 606 K
C 303 K
D 403 K

Solution:

2581 Upvotes Verified Answer

The correct answer is: 606 K

\frac{U_{{SO}_{2}}}{U_{O_{2}}} = \sqrt{\frac{M_{O_{2}} T_{{SO}_{2}}}{M_{{SO}_{2}} T_{O_{2}}}} = \sqrt{\frac{32 \times}{64 \times} \frac{T_{{SO}_{2}}}{303}} = 1

1 = \frac{32 \times}{64} \frac{T_{{SO}_{2}}}{303} \Rightarrow T_{{SO}_{2}} = 606 K

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