According to henry's law- "The partial pressure applied by any gas on a liquid surface is directly proportional to its mole fraction present in a liquid solvent.
P = Kn.X
KH = henry's constant
X = mole fraction of solute.
∴ 1.5 atm = 1.83 x 102 atm \(\times\) x
x = \(\frac{1.5}{1.83\times10^2}\)
= 0.0082
mole fraction of HCHO = 0.0082 = \(\frac{n_{CHO}}{n_{H_2o+n_{HCHO}}}\)
∵ nH2O >> nHCHO
we can neglect nHCHO in denominator
∴ 0.0082 = \(\frac{n_{HCHO}}{n_{H_2O}}\)
0.0082 = \(\frac{n_{HCHO}}{\frac{W}{18}}\)
or = \(\frac{n_{HCHO}}w\times1000\) = 0.0082 x 18
⇒ molality = 0.0082 x 18
As we know for very dilute solution the molality and molarity are approximately equal.
∴ molarity of HCHO = 0.15 M