Kinetic Theory - Result Question 13

13. The molecules of a given mass of a gas have r.m.s. velocity of 200ms1 at 27C and 1.0×105 Nm2 pressure. When the temperature and pressure of the gas are respectively, 127C and 0.05×105Nm2, the r.m.s. velocity of its molecules in ms1 is :

(a) 1002

(b) 4003

(c) 10023

(d) 1003

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Answer:

Correct Answer: 13. (b)

Solution:

  1. (b) Here v1=200m/s;

temperature T1=27C=27+273=300k

temperature T2=127C=127+273=400k,v2= ?

R.M.S. Velocity, vT

v2200=400300

v2=200×23m/sv2=4003m/s



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