The relation between pressure exerted by an ideal gas `(p_("ideal"))` and observed pressure `(p_("real"))` is given by the equation,
`p_("ideal")=p_("real")+ (an^(2))/V^(2)`
(i) If pressure is taken in `Nm^(-2)`, number of moles in mol and volume in `m^(3)`, calculate the unit of 'a'.
(ii) What will be the unit of 'a' when pressure is in atmosphere and volume in `dm^(3)`?

The relation between pressure exerted by an ideal gas (p_("ideal")) and observed pressure (p_("real")) is given by the equation " " p_("ideal")=p_("real")+(an^(2))/(V^(2)) If pressure is taken in N m^(-2) , number of moles in mol and volume in m^(3) , calculate the unit of 'a'. What will be the unit of 'a' when pressure is in atmosphere is in atmosphere and volume in dm^(3) ?

The relation between pressure exerted by an ideal gas (pideal) and observed pressure (preal) is given by the equation, p_("ideal") = p_("real") + (an^(2))/(V^(2)) If pressure is taken in Nm^(-2) , number of moles in mol and volume in m_(3) , calculate the unit of ' a '.

The relation between pressure exerted by an ideal gas (pideal) and observed pressure (preal) is given by the equation, p_("ideal") = p_("real") + (an^(2))/(V^(2)) What will be the unit of ' a ' when pressure is in atmosphere and volume in dm_(3) ?

The pressure p and volume V of an ideal gas both increase in a process.

The pressure P and volume V of an ideal gas both decreases in a process.

The pressure exerted by an ideal gas is numerically equal to ……………of…………………..per unit volume of the gas

The energy density u/V of an ideal gas is related to its pressure P as

The ratio of rms speed of an ideal gas molecules at pressure p to that at pressure 2p is

van der Waal's equation for calculating the pressure of a non ideal gas is (P+(an^(2))/(V^(2)))(V-nb)=nRT van der Waal's suggested that the pressure exerted by an ideal gas , P_("ideal") , is related to the experiventally measured pressure, P_("ideal") by the equation P_("ideal")=underset("observed pressure")(underset(uarr)(P_("real")))+underset("currection term")(underset(uarr)((an^(2))/(V^(2)))) Constant 'a' is measure of intermolecular interaction between gaseous molecules that gives rise to nonideal behavior. It depends upon how frequently any two molecules approach each other closely. Another correction concerns the volume occupied by the gas molecules. In the ideal gas equation, V represents the volume of the container. However, each molecule does occupy a finite, although small, intrinsic volume, so the effective volume of the gas vecomes (V-nb), where n is the number of moles of the gas and b is a constant. The term nb represents the volume occupied by gas particles present in n moles of the gas . Having taken into account the corrections for pressure and volume, we can rewrite the ideal gas equation as follows : underset("corrected pressure")((P+(an^(2))/(V^(2))))underset("corrected volume")((V-nb))=nRT For non-zero value of force of attraction between gas moleculer at large volume, gas equation will be :

van der Waal's equation for calculating the pressure of a non ideal gas is (P+(an^(2))/(V^(2)))(V-nb)=nRT van der Waal's suggested that the pressure exerted by an ideal gas , P_("ideal") , is related to the experiventally measured pressure, P_("ideal") by the equation P_("ideal")=underset("observed pressure")(underset(uarr)(P_("real")))+underset("currection term")(underset(uarr)((an^(2))/(V^(2)))) Constant 'a' is measure of intermolecular interaction between gaseous molecules that gives rise to nonideal behavior. It depends upon how frequently any two molecules approach each other closely. Another correction concerns the volume occupied by the gas molecules. In the ideal gas equation, V represents the volume of the container. However, each molecule does occupy a finite, although small, intrinsic volume, so the effective volume of the gas vecomes (V-nb), where n is the number of moles of the gas and b is a constant. The term nb represents the volume occupied by gas particles present in n moles of the gas . Having taken into account the corrections for pressure and volume, we can rewrite the ideal gas equation as follows : underset("corrected pressure")((P+(an^(2))/(V^(2))))underset("corrected volume")((V-nb))=nRT AT relatively high pressures, the van der Waals' equation of state reduces to