TG EAMCET 3 May 2025 Shift 1 Paper

The root mean square (rms) speed of argon gas is given as 20ms−1.
The molar mass of argon is 40gmol−1. This can also be written as 0.040kgmol−1 (because 1000g=1kg ).
The formula for average kinetic energy per mole of a gas is: E=‌

1

2

Mvrms2, where M is the molar mass in kg∕mol and vrms is the rms speed.
Substitute the values:

E=‌

1

2

×0.040×(20)2
Calculate (20)2=400, so:

‌E=‌

1

2

×0.040×400
‌‌

1

2

×0.040=0.020,so:
‌E=0.020×400=8
So, the average kinetic energy per mole of argon is 8Jmol−1 at this temperature.