Chemistry - Ideal Gas Question with Solution | TestHub
One mole of is taken in 1 litre empty container fitted with a movable piston at 300 K . If it is heated to 1200 K at constant pressure then match the change (List-II) in parameters (List-I) of gas as compared to initial state & select the correct code.
List - I (Parameter) | List - II (Change)
|
|---|---|
(P) (number of collision made by a molecule per unit time) | (1) 1/8 |
(Q) (collision frequency) per unit volume per unit time | (2) 2 |
(R) (mean free path) | (3) 1/2 |
(S) (root mean square speed) | (4) 4 |
Options:
Answer:
Solution:
At constant pressure, raising T from 300 K to 1200 K makes T2/T1=4.
The number density n=P/(kT) becomes one quarter; molecular speed is proportional to sqrt(T) and doubles.
(P) Z1 is proportional to n times molecular speed: its final-to-initial ratio is (1/4)(2)=1/2. P matches 3
(Q) Z11, collisions per unit volume per unit time, is proportional to n^2 times speed.
Its ratio is (1/4)^2 times 2=1/8. Q matches 1.
(R) Mean free path is inversely proportional to n; it becomes 4 times larger. R matches 4.
(S) RMS speed is proportional to sqrt(T); it doubles. S matches 2.
Hence P-3, Q-1, R-4, S-2: option A.
