At what temperature (in kelvin) is the rms speed of hydrogen molecules the same as oxygen molecules at \( 1327^{\circ} \mathrm{C} ? \)

Open MARKS Web Download App

Search any question & find its solution

Question: Answered & Verified by Expert

At what temperature (in kelvin) is the rms speed of hydrogen molecules the same as oxygen molecules at \( 1327^{\circ} \mathrm{C} ? \)

ChemistryStates of MatterJEE Main

Solution:

2222 Upvotes Verified Answer

The correct answer is: 100

{v_{H}}_{2} = {v_{O}}_{2}

\sqrt{\frac{3 {R T}_{H}_{2}}{M H_{2}}} = \sqrt{\frac{3 R {T_{O}}_{2}}{M O_{2}}}

So,

\sqrt{{M_{O}}_{2} {T_{H}}_{2}} = \sqrt{{M_{H}}_{2} {T_{O}}_{2}}

32 \times {T_{H}}_{2} = 2 \times 1600

T_{H_{2}} = 2 \times \frac{1600}{32} = 100

K

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.

Use on iOS or Desktop Download from Google Play