The compressibility of gas`<` unity at STP. Therefore `V_(m)=22.4L`
`V_(m)<22.4L`
`V_(m)>22.4L`
`V_(m)=44.8L`

At Boyle's temperature the value of compressibility factro Z = (PV_(m(//RT = V_(real)//V_(ideal)) has a value of 1 over a wide range of pressure. This is due to the fact that in the van der Waal's equation

One of the important approach to the study of real gases involves the analysis of parameter Z called the compressibility factor Z = (PV_(m))/(RT) where P is pressure, V_(m) is molar volume, T is absolute temperature and R is the universal gas constant. such a relation can also be expressed as Z = ((V_(m)real)/(V_(m)ideal)) (where V_(m ideal) and V_(m real) are the molar volume for ideal and real gas respectively). Gas corresponding Z lt 1 have attractive forces amoung constituent particles. As the pressure is lowered or temperature is increased the value of Z approaches 1. (reaching the ideal behaviour) For a real gas G Z gt 1 at STP Then for 'G': Which of the following is true:

1 mol of a real gas obeys P(V_(m) - b) = RT , where 'b' and 'R' are constants. If the compressibility factor of gas is 1. 11 and occupied volume of the gas is Xb then determine value of X//2 .

In equation p = 1/3 alpha v_(r m s)^(2) , the term (prop) represents dencity of gas. v_(r m s) = sqrt (3 R T)/(M) .

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:

If the boundary of system moves by an infinitesimal amount, the work involved is given by dw=-P_("ext")dV for irreversible process w=-P_("ext")DeltaV " "( "where "DeltaV=V_(f)-V_(i)) for reversible process P_("ext")=P_("int")pmdP~=P_("int") so for reversible isothermal process w = -nRTln.(V_(f))/(V_(i)) 2mole of an ideal gas undergoes isothermal compression along three different paths : (i) reversible compression from P_(i)=2 bar and V_(i) = 8L to P_(f) = 20 bar (ii) a single stage compression against a constant external pressure of 20 bar, and (iii) a two stage compression consisting initially of compression against a constant external pressure of 10 bar until P_("gas")=P_("ext") , followed by compression against a constant pressure of 20 bar until P_("gas") = P_("ext") Order of magnitude of work is :

Use of dilution formula (M_(1)V_(1) = M_(2) V_(2))

Two moles of an ideal gas undergo the following process : (a) a reversible isobaric expansion from ( P atm, V L) to ( P atm , 2V L) . (b) a reversible isochoric change of state from ( P atm , 2V,L) to (P//2 atm, 2V L) (c ) a reversible isothermal compression from (P//2 atm, 2V L) to (P atm, V L) . Sketch with labels each of the processes on the same P-V diagram.

Two solution of H_(2)SO_(4) of molarities x and y are mixed in the ratio of V_(1) mL : V_(2) mL to form a solution of molarity M_(1) . If they are mixed in the ratio of V_(2) mL : V_(1) mL , they form a solution of molarity M_(2) . Given V_(1)//V_(2) = (x)/(y) gt 1 and (M_(1))/(M_(2)) = (5)/(4) , then x : y is

In RLC circuit, at a frequency v , the potential difference across each device are (Delta V_(R))_("max") = 8.8 V, (Delta V_(L))_("max") = 2.6 V and (Delta V_(C ))_("max") = 7.4 V . The composed potential difference (Delta V_(C ) + Delta V_(L))_("max") across inductor and capacitor is