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  • In the diagram shown in figure, what is the relation between <img alt="\mathrm{P_1 \: and\: \: P_

In the \mathrm{V-T} diagram shown in figure, what is the relation between \mathrm{P_1 \: and\: \: P_2} ?


 

Option: 1

\mathrm{P}_2=\mathrm{P}_1

 


Option: 2

\mathrm{P}_2>\mathrm{P}_1
 


Option: 3

\mathrm{P}_2<\mathrm{P}_1
 


Option: 4

Can't be predicted


Answers (1)

best_answer

By the ideal gas equation,

\mathrm{ \mathrm{PV}=\mathrm{nRT} }

The slope of \mathrm{ V-T } graph,

\mathrm{ \frac{\mathrm{V}}{\mathrm{T}}=\frac{\mathrm{nRT}}{\mathrm{P}} \propto \frac{1}{\mathrm{P}} }

So, if the slope is more then the pressure is low.

Here, \mathrm{ \theta_1<\theta_2 }

\mathrm{ \Rightarrow \tan \theta_1<\tan \theta_2 }

\mathrm{ \therefore \mathrm{P}_2<\mathrm{P}_1}



 

 

Posted by

manish

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