NTA Abhyas 2020
- Exam
- NTA Abhyas
- Year
- 2020
- Subject
- Chemistry
- Chapter
- States of Matter
NTA Abhyas 2020 · Chemistry · States of Matter
The root mean square of gas molecules at 25 K and 1.5 bar is 100...
The root mean square of gas molecules at 25 K and 1.5 bar is 100 . If the temperature is raised to 100 K and the pressure to 6.0 bar, the root mean square speed becomes
Options
- A200\text{m}{\texts^{- 1}
- B100\text{m}{\texts^{- 1}
- C400\text{m}{\texts^{- 1}
- D1600\text{m}{\texts^{- 1}
Correct answer
A. 200\text{m}{\texts^{- 1}
Step-by-step solution
\dfrac{{u}_{\text{rms}}}{{u}_{\text{rms}^{′}} = \sqrt{\dfrac{\dfrac{3\text{RT}}{M}}{\dfrac{3\text{RT'}}{M}}} = \sqrt{\dfrac{T}{\text{T'}}}
So
or {u}_{rms}^{′} = 2 \times 100\text{m}{\texts^{- 1}
= 200\text{m}{\texts^{- 1} .
So
or {u}_{rms}^{′} = 2 \times 100\text{m}{\texts^{- 1}
= 200\text{m}{\texts^{- 1} .