SATHEE: Kinetic Theory - Result Question 24

Kinetic Theory - Result Question 24

24. A gas mixture consists of 2 moles of $O_{2}$ and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is :-

(a) $15 R T$

(b) $9 R T$

(c) $11 R T$

(d) $4 R T$

[2017]

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Answer:

Correct Answer: 24. (c)

Solution:

(c) Internal energy of the system is given by $U = \frac{f}{2} n R T$ Degree of freedom

$F_{diatomic} = 5$

$f_{monoatomic} = 3$

and, number of moles

$n (O_{2}) = 2$

$n (A r) = 4$

$U_{total} = \frac{5}{2} (2) R T + \frac{3}{2} (4) R T = 11 R T$

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Kinetic Theory - Result Question 24

24. A gas mixture consists of 2 moles of O2 and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is :-

Answer:

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24. A gas mixture consists of 2 moles of $O_{2}$ and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is :-