Notifications
Clear all
States of Matter
1
Posts
2
Users
0
Likes
381
Views
0
09/09/2021 9:40 pm
Topic starter
By how many folds the temperature of a gas would increase when the root mean square velocity of the gas molecules in a container of fixed volume is increased from 5 × 104 cm/s to 10 × 104 cm/s?
(a) Two
(b) Three
(c) Six
(d) Four
1 Answer
0
09/09/2021 9:44 pm
Correct answer: (d) Four
Explanation:
r.m.s. velocity Vrms = \(\sqrt{\frac{3RT}{M}}\)
i.e.,\(\frac{V_1}{V_2}\) = \(\sqrt{\frac{T_1}{T_2}}\)
= \(\frac{5 \times 10^4}{10 \times 10^4}\) = \(\frac{1}{2}\) = \(\sqrt{\frac{T_1}{T_2}}\)
∴ \(T_2\) = \(4T_1\)