Question

For any monoatomic gas the quantities independent of the nature of the gas at the same temperature is/are

1) the number of molecules in one mole.
2) the number of molecules in equal volume and pressure
3) the translation kinetic energy of one mole
4) the kinetic energy of unit mass
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Answer 1

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Answer 2

Answer:

1) the number of molecules in one mole.

2) the number of molecules in equal volume and pressure

3) the translation kinetic energy of one mole

Explanation:

For a monoatomic gas it is given,

T = constant

(A) The number of molecules in one mole is equal to avogadro’s number

NA=6.023×$10^{23}$

(B) Number of moles

PV=nRT

n=$\frac{PV}{RT}$

For same P,V and T

n is same

(C) For monoatomic gas KE is only the function of temperature

K.E. = f(T)

For monatomic gas

Translational kinetic energy of n moles

KE=$\frac{3nRT}{2}$

(D) mole [n]=$\frac{m}{M}$

Unit mass contains different no. of moles

KE=$\frac{3}{2}$nRT

Therefore option 1,2,3 are correct.