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  • The pressure versus temperature graph of an ideal gas of equal number of moles of different volumes are plotted as shown in figure. Choose the correct alternative : <img alt="" src="https

The pressure versus temperature graph of an ideal gas of equal number of moles of different volumes are plotted as shown in figure. Choose the correct alternative :

Option: 1

v_{1}=v_{2}=v_{3}=v_{4}


Option: 2

v_{4}>v_{3}>v_{2}>v_{1}


Option: 3

v_{1}=v_{2}, v_{3}=v_{4}


Option: 4

v_{2}<v_{3}


Answers (1)

best_answer

From ideal gas equation, P V=\mu R T

\therefore P=\frac{\mu R}{V} T

Comparing this equation with y=m x slope of line \tan \theta=m=\frac{\mu R}{v} i.e. v \alpha \frac{1}{\tan \theta}

It means a line of smaller slope represents a greater volume of  gas, For the given problem figure,

Point 1 and 2 are on the same line so they will represent the same volume i.e. v_{1}=v_{2}

Similarly,

point 3 and 4 are on the same line so they will represent the same volume ie v_{3}=v_{4}

Posted by

Gaurav

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