Statement I : The pressure of a fixed amount of an ideal gas is proportional to its temperature.

Question

Read the following questions and answer as per the direction given below :

(a) Statement I is true; Statement II is also true; Statement II is a correct explanation of Statement I.

(b) Statement I is true; Statement II is'true; Statement II is not the correct explanation of Statement I.

(c) Statement I is true; Statement II is false.

(d) Statement I is false; Statement II is true. I.

Statement I : The pressure of a fixed amount of an ideal gas is proportional to its temperature. 

Statement II : Frequency of collisions and their impact . both increase in proportion to the square root of temperature.

Answer 1

Correct option  (b) Statement I is true; Statement II is'true; Statement II is not the correct explanation of Statement I.

 Explanation: 

 At constant volume

Collision frequency is directly proportional to U_rms i,.e 

Collision frequency  ∝ U_rms   ...(ii)

From Eqs (i) and (ii)

Collision frequency  ∝√T

Hence, on increasing the collision frequency, pressure increases.