SECTION - 2: COMPREHENSION BASED QUESTIONS (SINGLE CHOICE CORRECT QUESTION) Comprehension-1
The rate of change of pressure (p) of a gas at constant temperature and constant external pressure due to effusion of gas from a vessel of constant volume is related to rate of change of number of molecules present by dp kTdN dt V dt where k = Boltzmann constant, T temperature, V = volume of vessel & N= No. of molecules and dN -PA, where A. = area of orifice and m = mass of molecule. dt (2xmkT)1/2 11. --- Time required for pressure inside vessel to reduce to 1/e of its initial value in (In e = 1) 1/2 1/2 2πm V kТ V 2πmkT 2πm V (B) (C) kᎢ Ао 2πm, Ao Ao 1/2 (A) (D) KT AO 12. If the gas inside the vessel had molecular weight 9 times the gas in previous example and area of orifice was doubled and temperature maintained at 4T, time required for pressure to fall to 1/e times of its initial value would be (t = answer of previous option) (A) 1.33 t (B) 4.24 t (C) 0.75 t (D) 1.125 t 2020-21 13. The incorrect statement (s) is/are. [I] Pressure will not fall to zero in infinite time. [II] Time required for pressure to decrease to half its initial value is independent of initial pressure. [III] The relations given above are true for real gases also. (A) I (B) II (D) I and III 122 PRICOMP. 25110 Alor (ITEE Le 111
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C.) the relations given above are true for real gases also.
explanation:
the correct statement (s) is /are
- 1. pressure will fall to zero in infinite time as the entire gas will effuse out.
- 2. time required for pressure to decrease to half its initial value is dependent of initial pressure. when the initial pressure is high the time required for pressure to decrease to half its value will be less and vice versa.
- 3. the relations given above are true for real gases also.
thus, only option c is correct. options a and b are incorrect.
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