Question
Which of the following statement(s) (are) correct regarding the root mean square speed U r m s and average translational kinetic energy ε a v of a molecule in a gas at equilibrium?
JEE Advanced
Chemistry
States of Matter
2019
JEE Advanced 2019 (Paper 1)
JEE Advanced Chemistry Question (2019) — Solution
Options
- A. U r m s is doubled when its temperature is increased four times
- B. ε a v at a given temperature does not depend on its molecular mass
- C. U r m s is inversely proportional to the square root of its molecular mass
- D. ε a v is doubled when its temperature is increased four times
Answer
C. U r m s is inversely proportional to the square root of its molecular mass
Step-by-step solution
U rms = 3RT M , E av = 3 2 RT If temperature is made 4 times, U rms between twice. Avg. kinetic energy ( F av ) is independent of molecular man at a given temperature, U rms inversely proportional to the square not of molecular mass.
Related: Chemistry — States of Matter · All PYQ Banks