The behaviour of gases has been experessed in terms of various gas laws obtained experimentally Boyle s law Charles law Pressure temperature law Dalton s law of partial pressure Graham's law of diffusion and Avogadro's hypothesis Later on Maxwell derived Kinetic equation `PV = (1)/(3) mnu^(2)` theoretically by assuming the concept of molecules and their motion The term u reprsents root mean square speed of molecule For one mole of an ideal gas `((deltaP)/(deltaT))_(V).((deltaV)/(deltaT))_(P).((deltaV)/(deltaP))_(T)` equal to .
A
`(-R^(2))/(P^(2))`
B
`(-R^(2))/(P^(2))`
C
`+1`
D
`-1`
Text Solution
Verified by Experts
`PV =RT` for 1 mole gas `T:((deltaV)/(deltaP))_(T) =(V)/(P),` At constant `V:((deltaV)/(deltaP))_(V) =(R)/(V),` At contant `P : P:((deltaV)/(deltaT))_(P) =(R)/(P),` `:.((PV)/(deltaP))_(T).((deltaP)/(deltaT))_(P)=(-2R^(2)V)/(P^(2)V)=(-R^(2))/(P^(2))` .
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