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The virial equation for 1mole of a real ...

The virial equation for 1mole of a real gas is written as `:`
`PV=RT`
`[1+(A)/(V)+(B)/(V^(2))+(C)/(V^(3))+` ........ To higher power of `n]`
Where `A,B,` and `C` are known as virial coefficients . If Vander wall's equation is written in virial form, then what will be value of `B :`

A

`a-(b)/(RT)`

B

`b^(3)`

C

`b-(a)/(RT)`

D

`b^(2)`

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  • The van der Waal's equation of state for 1 mole real gas is (P + (a)/(V^(2))) (v - b) = RT ....(i) The Virial equation for 1 mole real gas is PV = RT [1 + (x)/(V) + (y)/(V^(2)) + (z)/(V^(3))+....." To higher power of " V] ....(ii) when x, y and z are constants which are known as 2nd, 3rd adn 4th co-efficients respectively. The temperature at which real gas obeys ideal gas equation i.e., (PV = nRT) is known as Boyle's temperature. Answer the following questions on the basis of the above write up : The third virial coefficient of He gas is 4 xx 10^(-2) ("litre/mole")^(2) , then what will be volume of 2 mole He gas at NTP

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    B
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  • The van der Waal's equation of state for 1 mole real gas is (P + (a)/(V^(2))) (v - b) = RT ....(i) The Virial equation for 1 mole real gas is PV = RT [1 + (x)/(V) + (y)/(V^(2)) + (z)/(V^(3))+....." To higher power of " V] ....(ii) when x, y and z are constants which are known as 2nd, 3rd adn 4th co-efficients respectively. The temperature at which real gas obeys ideal gas equation i.e., (PV = nRT) is known as Boyle's temperature. Answer the following questions on the basis of the above write up : Which of the following is the incorrect statement about the Boyle's temperature ?

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  • The van der Waal's equation of state for 1 mole real gas is (P + (a)/(V^(2))) (v - b) = RT ....(i) The Virial equation for 1 mole real gas is PV = RT [1 + (x)/(V) + (y)/(V^(2)) + (z)/(V^(3))+....." To higher power of " V] ....(ii) when x, y and z are constants which are known as 2nd, 3rd adn 4th co-efficients respectively. The temperature at which real gas obeys ideal gas equation i.e., (PV = nRT) is known as Boyle's temperature. Answer the following questions on the basis of the above write up : If the critical temperature of the gas be T_(C) = (8a)/(27 Rb) and T_(B) is the Boyle's temperature, then which of the following is the correct relation between T_(C) " and " T_(B) ?

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