NTA Abhyas 2020
- Exam
- NTA Abhyas
- Year
- 2020
- Subject
- Chemistry
- Chapter
- States of Matter
NTA Abhyas 2020 · Chemistry · States of Matter
At what temperature (in kelvin) is the rms speed of hydrogen...
At what temperature (in kelvin) is the rms speed of hydrogen molecules the same as oxygen molecules at ?
Options
- A100
- B110
- C120
- D130
Correct answer
A. 100
Step-by-step solution
{{\text{v}_{\text{H}}}_{2} = {{\text{v}_{\text{O}}}_{2}
\sqrt{\dfrac{3{{\text{R}\text{T}_{\text{H}}}_{2}}{\text{M}{\text{H}_{2}}} = \sqrt{\dfrac{3\text{R}{{\text{T}_{\text{O}}}_{2}}{\text{M}{\text{O}_{2}}}
So,\sqrt{{{\text{M}_{\text{O}}}_{2}{{\text{T}_{\text{H}}}_{2}} = \sqrt{{{\text{M}_{\text{H}}}_{2}{{\text{T}_{\text{O}}}_{2}}
32 \times {{\text{T}_{\text{H}}}_{2} = 2 \times 1600
\sqrt{\dfrac{3{{\text{R}\text{T}_{\text{H}}}_{2}}{\text{M}{\text{H}_{2}}} = \sqrt{\dfrac{3\text{R}{{\text{T}_{\text{O}}}_{2}}{\text{M}{\text{O}_{2}}}
So,\sqrt{{{\text{M}_{\text{O}}}_{2}{{\text{T}_{\text{H}}}_{2}} = \sqrt{{{\text{M}_{\text{H}}}_{2}{{\text{T}_{\text{O}}}_{2}}
32 \times {{\text{T}_{\text{H}}}_{2} = 2 \times 1600