A sample of gas contains N1 molecules and the total kinetic energy at -123 oC is E1 ergs, Another sample - Chemistry - States of Matter

Question

A sample of gas contains N1 molecules and the total
kinetic energy at -123 oC is E1 ergs, Another sample of
gas at 27 oC has total kinetic energy as 2E1
Assuming gases to be ideal, the number of gas molecules in the
second sample will be:- Kindly answer sir/mam

a) N1
b) N1/2
c) 2N1
d) 4N1

Vartika Jain · Accepted Answer

Average kinetic energy per molecule=3RT2NFor the first sample of gasKinetic energy for N1 molcules= 3RTN12NK
E
= E1 ergs and T=(-123+273)=150 Kor, N1= 2E1N3RTFor the second gasK
E
 = 2E1 and T= 27+273=300 KKinetic energy for N2 molecules=3RTN22Nor, N2=4E1N3RT= 2(2E1N3RT)=2N1
Hence the correct option is (c)

A sample of gas contains N1 molecules and the total kinetic energy at -123 oC is E1 ergs, Another sample of gas at 27 oC has total kinetic energy as 2E1. Assuming gases to be ideal, the number of gas molecules in the second sample will be:- Kindly answer sir/mam. a) N1 b) N1/2 c) 2N1 d) 4N1