Question

A gas present in a container connected to frictionless, weightless piston operating always at the one-atmosphere pressure such that it permits flow of gas outside (with no adding of gas.) The graph of n Vs T (Kelvin) was plotted & was found to be a straight line with coordinates of extreme points as (300,2) & (200,3). Find out the (i) relationship between n & T (ii) relationship between V&T (iii)Maximum or minimum value of 'V':

• A. $n=\frac{-T}{100}+5,V=\frac{-R{T}^2}{100}+5RT,51.3125l$
• B. $n=\frac{T}{100}-5,V=\frac{-R{T}^2}{100}-5RT,71.3125l$
• C. $n=\frac{-T}{100}-5,V=\frac{R{T}^2}{100}+5RT,21.3125l$
• D. None of these

Answer 1

The correct option is A $n=\frac{-T}{100}+5,V=\frac{-R{T}^2}{100}+5RT,51.3125l$

(i) Relationship between n & T is $n=\frac{-T}{100}+5$

(ii) Relationship between V&T is $V=\frac{-R{T}^2}{100}+5RT$

(iii) Maximum or minimum value of 'V' is $51.3125l$