Subjective Type

Calculate the volume occupied by $$0.2$$ mole of a Vander Waal gas at $$27^o$$C and $$0.0821$$ atm. $$[a=4.105L^2$$ atm $$mol^{-2}, b=\dfrac{1}{6}L mol^{-1}]$$.

Solution

$$n=0.2$$ mol, temp $$=T=298k$$ $$P=0.0821$$ atm $$a=4.105$$ and $$b=\dfrac { 1 }{ 6 } L{ mol }^{ -1 }$$ $$\left[ P+\dfrac { { n }^{ 2 } }{ { V }^{ 2 } } a \right] \left( V-nb \right) =nRT$$ $$\Rightarrow \left[ 0.0821+\dfrac { 0.04 }{ { V }^{ 2 } } \left( 4.105 \right) \right] \left( V-0.2\times \dfrac { 1 }{ 6 } \right) =0.2\times 0.082\times 298$$ $$\Rightarrow \left[ 0.0821+\dfrac { 0.1642 }{ { V }^{ 2 } } \right] \left( V-0.033 \right) =4.8872$$ $$\Rightarrow$$ Volume required $$V=59.5268$$ Litres.

SIMILAR QUESTIONS

States of Matter - Gas and Liquid

Which of the following expressions correctly represents the van der Waals equation of state?

States of Matter - Gas and Liquid

The term that corrects for the attractive forces present in a real gas in the Vander Waals' equation is:

States of Matter - Gas and Liquid

If Z is a compressibility factor, van der Waals equation at low pressure can be written as:

States of Matter - Gas and Liquid

A certain gas $$A$$ polymerizes to a small extent at a given temperature and pressure, $$nA \rightleftharpoons A_{n}$$. Show that the gas obeys the approx. equation $$\dfrac {PV}{RT} = \left [1 - \dfrac {(n - 1)K_{C}}{V^{n - 1}}\right ]$$ where $$K_{C} = \dfrac {[A_{n}]}{[A]^{n}}$$ and $$V$$ is the volume of the container. Assume that initially one mole of $$A$$ was taken in the container.

States of Matter - Gas and Liquid

The term that corrects for the attractive forces present in a real gas in the van der Waals equation is:

States of Matter - Gas and Liquid

In van der Waals equation for a non-ideal gas, the term that accounts for intermolecular force is :

States of Matter - Gas and Liquid

If volume occupied by $$CO_{2}$$ molecules is negligible, then what will be the pressure $$\left (\dfrac {P}{5.277}\right )$$ exerted by one mole of $$CO_{2}$$ gas at $$300\ K? (a = 3.592\ atm\ L^{2} mol^{-2})$$.

States of Matter - Gas and Liquid

What is the pressure of $$2$$ mole of $$NH_3$$ at $$27^oC$$ when its volume is $$5$$ litre in vander Waal's equation $$?(a = 4.17, b = 0.03711)$$

States of Matter - Gas and Liquid

Which of the following statements are false? Rewrite the false statement correctly. In the van der Waal's equation, $$\Bigg(P+\dfrac{n^2 a}{V^2}\Bigg)(V-nb)=n RT$$ the constant 'a' represents the actual volume of the gas molecules.

States of Matter - Gas and Liquid

When a sample of ideal gas is changed from an initial state to a final state, various curves can be plotted for the process like P-V curve, V-T curve,P-T curve etc. For example, P-V curve for a fixed amount of an ideal gas at constant temperature is a rectangular hyperbola, V-T curve for a fixed amount of an ideal gas at constant volume is again a straight line. However, the shapes may vary if the constant parameters are also changed. Now, answer the questions : Two Vander Waals gases have same value 'b' but different 'a' value thwn which of the following statement is correct under similar condition .

Contact Details