Which is correct graph for charle's law ,when the curve is plotted at .821 atm pressure for 10 mole idmolegas..sir plz do step by step

Asked by vishakhachandan026 | 4th Jul, 2019, 02:59: PM

Expert Answer:

 
Ideal gas equation 
PV=nRT
From space given space data
.821 cross times straight V equals 10 cross times 0.0821 cross times straight T
straight V over straight T equals 1

We space know space in space charle apostrophe straight s space law
VαT
So space straight V over straight T equals thin space Constant
Which space is space equal space to space 1 space in space our space case
Now space we space will space check space each space option space one space by space one
Option space left parenthesis 1 right parenthesis
We space know space equation space of space straight space line
straight y equals mx plus straight c
Here space straight m equals Tanθ
space space space space space space space straight m equals Tan space 45 to the power of straight o equals 1
straight V over straight T equals straight V plus straight C
1 equals straight V plus straight C
straight C equals straight V minus 1
straight V space is space variable space in space chale apostrophe straight s space law space so space straight C space will space also space vary space but space straight C space can space not space be space variable space It space is space already space defined space as space constant space so space this space is space wrong.

Option left parenthesis 2 right parenthesis

straight V squared over straight T equals straight V plus straight C
After space dividing space by space straight T space on space both space side

straight V squared over straight T squared equals straight V over straight T plus straight C over straight T
left parenthesis fraction numerator straight V space over denominator straight T end fraction right parenthesis squared equals straight V over straight T plus straight C
1 equals 1 plus straight C over straight T
straight C equals 0
Which space is space true space from space this space graph

left parenthesis 3 right parenthesis
straight V equals fraction numerator 1 over denominator square root of 3 end fraction straight T plus straight C
After space dividing space by space straight T space on space both space side
straight V over straight T equals fraction numerator 1 over denominator square root of 3 end fraction plus straight C over straight T
straight C equals straight T left parenthesis 1 minus fraction numerator 1 over denominator square root of 3 end fraction right parenthesis
Here space straight C space is space variable space but space we space defined space it space as space straight a space constant space so space it space is space not space possible.

left parenthesis 4 right parenthesis
logV equals negative logT space plus space straight C
log left parenthesis VT right parenthesis equals straight C
VT equals logC
straight V equals space logC over straight T
Here space straight V space is space inversly space proportional space to space straight T space which space is space not space possible space according space to space ideal space gas space equation
So Correct answer is option (2)

Answered by Ravi | 8th Jul, 2019, 06:41: PM

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