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  • Which of the following statements are not correct? (a) The expression of kinetic gas equation is <img alt="\mathrm{ P V=\frac{1}{3} m \sqrt{\mathrm{Nu}^2}}" src="https://entrancecorner.

Which of the following statements are not correct?
(a) The expression of kinetic gas equation is \mathrm{ P V=\frac{1}{3} m \sqrt{\mathrm{Nu}^2}}
(b) The symbols, \mathrm{\bar{u}_2~ and~ \bar{U}^2} represent one and the same physical quantity.
(c) The density of an ideal gas increase with increase in temperature provided its pressure is constant.
(d) The average kinetic energy of gaseous molecules depends on temperature and nature of gaseous molecules.
 

Option: 1

a and b only
 


Option: 2

 a and c only


Option: 3

b, c and d only

 


Option: 4

a, c and d only 
 


Answers (1)

best_answer

(a) The correct expression is  \mathrm{P V=\left(\frac{1}{3}\right) \mathrm{m} \sqrt{u^2}}that is, it involves treas square speed and not square of mean speed.
(b) \mathrm{\bar{u}_2} stands for mean square speed whereas \mathrm{\bar{v}^2} stands for square of mean speed.
(c) The expression of density is \mathrm{\rho=\frac{M P}{R T}}
Thus, density decreases with increase in temperature at constant pressure. The qualitative explanation is that increase in volume hence, decrease in density \mathrm{=\frac{\text { mass }}{\text { volume }}, }

(d) According to kinetic theory of gases :\mathrm{ \overline{k E}=\left(\frac{3}{2}\right) R T, }

 option (b), (c) and (d) are correct.

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