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)?

The van der Waal's equation of state for 1 mole real gas is (P + (a)/(

1.	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)?
Answer» `T_(C) = (8)/(28) T_(B)` `T_(C) = (27)/(8) T_(B)` `T_(C) = (8)/(27) T_(B)` `T_(C) = (27)/(4) T_(B)` Solution :`T_(B) = (a)/(Rb) " and " T_(C) = (8A)/(27 Rb)` `:. (T_(C))/(T_(B)) = (8)/(27)`