Number of Cl atoms in 20mL `Cl_2` at STP = `lamda`x `10^(21)` . Find `lamda`

The number of chlorine atoms in 20 mL of chlorinc gas at STP is __________ 10^(21) . (Round off to the Nearest Integer). [Assume chlorine is an ideal gas at STP R=0.083 L bar "mol"^(-1) K^(-1) N_(A) =6.023 xx 10^(23) ]

The number of chlorine atoms in C_(2)Cl_(X) is

For which value(s) of lamda , do the pair of linear equations lamda x+ y= lamda^(2) and x+ lamda y= 1 have no solution?

For which value(s) of lamda , do the pair of linear equations lamda x+ y= lamda^(2) and x+ lamda y= 1 have a unique solution?

For which value(s) of lamda , do the pair of linear equations lamda x+ y= lamda^(2) and x+ lamda y= 1 have infinitely many solutions?

The first three spectral lines of H-atom in the Balmer series are given lamda _(1), lamda _(2), lamda _(3) considering the Bohr atomic model, the wave lengths of first and third spectral line ((lamda_(1))/( lamda _(3))) are related by a factor of approximately 'x' xx10^(-1) The value of x, to the nearest integer, is "__________"

Two prisms P_1 and P_2 with refractive index are a function of wavelength lamda are mu_1 and mu_2 resp. where mu_1 = 1.2 + (10.8 x 10^-14)/( lamda^2) and mu_2 = 1.45 + (1.8 x 10^-14)/( lamda^2) . Find lamda for which when P_1 and P_2 are put together no deviation of light happened in the contact surface

Two radioactive materials X_(1) and X_(2) have decay constants 10 lamda and lamda respectively. If initially they have the same number of nuclei, if the ratio of the number of nuclei of X_(1) to that of X_(2) will be 1//e after a time n/(9lamda) . Find the value of n ?

Minimum posible number of positive root of the quadratic equation x ^(2) -(1+ lamda) x + lamda -2 =0, lamda in R: