Following statements are given: (1) The average kinetic energy of a gas molecule decreases when the temperature is reduced. (2) The average kinetic energy of a gas molecule increases with increase in pressure at constant temperature. (3) The average kinetic energy of a gas molecule decreases with increases in volume (4) Pressure of a gas increases with increase in temperature at constant pressure. (5) The volume of gas decreases with increase in temperature. Choose the correct answer from the options given below :

Question

Following statements are given: (1) The average kinetic energy of a gas molecule decreases when the temperature is reduced. (2) The average kinetic energy of a gas molecule increases with increase in pressure at constant temperature. (3) The average kinetic energy of a gas molecule decreases with increases in volume (4) Pressure of a gas increases with increase in temperature at constant pressure. (5) The volume of gas decreases with increase in temperature. Choose the correct answer from the options given below : (A) (1) and (4) only (B) (1), (2) and (4) only (C) (2) and (4) only (D) (1), (2) and (5) only

Tardigrade Admin · Accepted Answer

KE text avg =(3/2) KT P =(1/3) ρ V rms 2 Note: Statement (4) is correct only if we consider it at constant volume and not constant pressure. Ideally, this question must be bonus but most appropriate answer is option (A)

(1) and (4) only

(1), (2) and (4) only

(2) and (4) only

(1), (2) and (5) only

KEavg ​=23​KT P=31​ρVrms2​ Note : Statement (4) is correct only if we consider it at constant volume and not constant pressure. Ideally, this question must be bonus but most appropriate answer is option (A)

$K E_{avg} = \frac{3}{2} K T$
$P = \frac{1}{3} ρ V_{r m s}^{2}$
Note : Statement (4) is correct only if we consider it at constant volume and not constant pressure. Ideally, this question must be bonus but most appropriate answer is option (A)