Assertion : The pressure of a fixed amount of an ideal gas is proportional to its temp.
Reason : Frequency of collisions and their impact both increase in proportion to the square root of the temperature.
1RON... I M VERY SURE....BUT THE FREQUENCY IS DIRECTLY PROP..TO THE KINECTIC ENERGY OF A MOLECULE ...ie 3RT/M* 0.5*M......PROP...TO ITS TEMP.....IF THIS LOGIC IR RITE THEN....REASON IS FALSE
1assertion is false becuase the above would happen if volume was also constant.
reason.
collision frequency = root mean velocity/mean free path.
propotional to root of temp.
and impact= Δp/Δt= 2mv/Δt which is also propotional to root of temp.
1AT CONSTANT VOLUME
P directly proportional to T .........................(1)
Urms = √(3RTM)
that is Urms is directly proportional to √T..
Collision frequency is directly proportional to Urms hence to √T.
So on increasing collision pressure frequency increases,[increaing pressure means increasing temp. from 1]
HENCE ANS IS (A)
11even i thought it would be (A) Manmay..
i guess fiitjee has given the ans wrong.