Home
Class 12
CHEMISTRY
Critical constants are related with van ...

Critical constants are related with van der waals' constant as follows:
`V_( c) = 3b, P_( c) =a/(27b^(2)), T_( c) =(8a)/(27 Rb)`
The pressure required to liquefy a gas at the critical temperature is called :

A

reduced pressure

B

critical pressure

C

vapour pressure

D

atmospheric pressure

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the pressure required to liquefy a gas at the critical temperature, we can follow these steps: ### Step-by-Step Solution: 1. **Understand Critical Constants**: - The critical constants are defined as: - \( V_c = 3b \) (Critical Volume) - \( P_c = \frac{a}{27b^2} \) (Critical Pressure) - \( T_c = \frac{8a}{27Rb} \) (Critical Temperature) 2. **Define Critical Temperature**: - The critical temperature (\( T_c \)) is the temperature above which a gas cannot be liquefied, regardless of the pressure applied. 3. **Identify the Pressure at Critical Temperature**: - At the critical temperature, the pressure required to liquefy a gas is known as the critical pressure (\( P_c \)). This is the maximum pressure that can be applied to a gas at its critical temperature to achieve liquefaction. 4. **Conclusion**: - Therefore, the pressure required to liquefy a gas at the critical temperature is referred to as the **critical pressure**. ### Final Answer: The pressure required to liquefy a gas at the critical temperature is called **critical pressure**. ---
Promotional Banner

Similar Questions

Explore conceptually related problems

The essential conditions for liquefaction of gases were discovered by Andrews in 1869 as a result of his study of pressure-volume-temperature relationship for CO_(2) . It was found that above a certain temperature, it was impossible to liquefy a gas whatever the pressure was applied. The temperature below which the gas can be liquefied by the application of pressure alone is called critical temperature (Tc). The pressure required to liquefy a gas at this temperature is called the critical pressure (Pc). The volume occupied by one mole of the substance at the critical temperature and pressure is called critical volume. Critical constants are related with van der waals' constant as follows: V_( c) = 3b, P_( c) =a/(27b^(2)), T_( c) =(8a)/(27 Rb) The values of critical volumes of four gases A, B, C and D are 0.025L, 0.312L, 0.245L and 0.432L respectively. The gas with larger molecular diameter will be :

The value of critical temperature in terms of van der Waals' constants a and b is given by

The value of critical temperature in terms of van der Waals' constants a and b is given by

The values of the van der Waals constants for a gas a = 4.10 dm^(6) "bar" mol^(-2) and b = 0.035 dm^(3) mol^(-1) . Calculate the values of the critical temperature and critical pressure for the gas.

Which gas will liquefy easily ( a and b are van der Waals constants)?

A scientist proposed the following equation of state P = (RT)/(V_(m)) - (B)/(V_(m)^(2)) +(C )/(V_(m)^(3)) . If this equation leads to the critical behavior then critical temperature is:

The van der Waal's equation of state for some gases can be expressed as : (P + (a)/( V^(2))) ( V - b) = RT Where P is the pressure , V is the molar volume , and T is the absolute temperature of the given sample of gas and a, b , and R are constants. Which of the following does not have the same dimensional formula as that for RT?

The van der Waal's equation of state for some gases can be expressed as : (P + (a)/( V^(2))) ( V - b) = RT Where P is the pressure , V is the molar volume , and T is the absolute temperature of the given sample of gas and a, b , and R are constants. The dimensions of a are

The van der Waal's equation of state for some gases can be expressed as : (P + (a)/( V^(2))) ( V - b) = RT Where P is the pressure , V is the molar volume , and T is the absolute temperature of the given sample of gas and a, b , and R are constants. In the above problem , the dimensional formula for RT is same as that of

Boyle's temperature (T_(B)) : It is the temperature at which a real gas exhibits ideal behavior in low pressure range. Different gases have different value of T_(B) , which is related to the van der Wall's constant a and ab as follows: T_(B) = (a)/(Rb) The compressiblity factor for a real gas is given as Z = 1 + 0.35 P - (168)/(T)P . Where P is in bar and T is in Kelvin. What is the Boyle's temperature of the gas?