One mole of an ideal gas passes through a process where pressure and volume obey the relation${\rm{P}} = {{\rm{P}}_0}\left[ {1 - \frac{1}{2}{{\left( {\frac{{{{\rm{V}}_0}}}{{\rm{V}}}} \right)}^2}} \right]$ Here P0 and V0 are constants. Calculate the change in the temperature of the gas if its volume changes from V0 to 2V0

Question

One mole of an ideal gas passes through a process where pressure and volume obey the relation${\rm{P}} = {{\rm{P}}_0}\left[ {1 - \frac{1}{2}{{\left( {\frac{{{{\rm{V}}_0}}}{{\rm{V}}}} \right)}^2}} \right]$ Here P0 and V0 are constants. Calculate the change in the temperature of the gas if its volume changes from V0 to 2V0

TuteeHUB · Accepted Answer

$\frac{3}{4}\frac{{{{\rm{P}}_0}{{\rm{V}}_0}}}{{\rm{R}}}$

TuteeHUB · Answer

$\frac{1}{2}\frac{{{{\rm{P}}_0}{{\rm{V}}_0}}}{{\rm{R}}}{\rm{\;}}$

TuteeHUB · Answer

$\frac{5}{4}\frac{{{{\rm{P}}_0}{{\rm{V}}_0}}}{{\rm{R}}}$

TuteeHUB · Answer

$\frac{1}{4}\frac{{{{\rm{P}}_0}{{\rm{V}}_0}}}{{\rm{R}}}$

1.	One mole of an ideal gas passes through a process where pressure and volume obey the relation\({\rm{P}} = {{\rm{P}}_0}\left[ {1 - \frac{1}{2}{{\left( {\frac{{{{\rm{V}}_0}}}{{\rm{V}}}} \right)}^2}} \right]\) Here P0 and V0 are constants. Calculate the change in the temperature of the gas if its volume changes from V0 to 2V0
A.	\(\frac{1}{2}\frac{{{{\rm{P}}_0}{{\rm{V}}_0}}}{{\rm{R}}}{\rm{\;}}\)
B.	\(\frac{5}{4}\frac{{{{\rm{P}}_0}{{\rm{V}}_0}}}{{\rm{R}}}\)
C.	\(\frac{3}{4}\frac{{{{\rm{P}}_0}{{\rm{V}}_0}}}{{\rm{R}}}\)
D.	\(\frac{1}{4}\frac{{{{\rm{P}}_0}{{\rm{V}}_0}}}{{\rm{R}}}\)
Answer» C. \(\frac{3}{4}\frac{{{{\rm{P}}_0}{{\rm{V}}_0}}}{{\rm{R}}}\)

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