1
JEE Main 2021 (Online) 24th February Evening Shift
Numerical
+4
-1
The solubility product of PbI2 is 8.0 $$\times$$ 10$$-$$9. The solubility of lead iodide in 0.1 molar solution of lead nitrate is x $$\times$$ 10$$-$$6. mol/L. The value of x is __________. (Rounded off to the nearest integer) [Given $$\sqrt 2$$ = 1.41]
2
JEE Main 2020 (Online) 6th September Evening Slot
Numerical
+4
-0
If the solubility product of AB2 is 3.20 $$\times$$ 10–11 M3, then the solubility of AB2 in pure water is _____ $$\times$$ 10–4 mol L–1.
[Assuming that neither kind of ion reacts with water]
3
JEE Main 2020 (Online) 5th September Morning Slot
Numerical
+4
-0
A soft drink was bottled with a partial pressure of CO2 of 3 bar over the liquid at room temperature. The partial pressure of CO2 over the solution approaches a value of 30 bar when 44 g of CO2 is dissolved in 1 kg of water at room temperature. The approximate pH of the soft drink is ______ $$\times$$ 10–1.
(First dissociation constant of
H2CO3 = 4.0 $$\times$$ 10–7; log 2 = 0.3; density
of the soft drink = 1 g mL–1) .
4
JEE Main 2020 (Online) 7th January Evening Slot
Numerical
+4
-0
3 g of acetic acid is added to 250 mL of 0.1 M HCL and the solution made up to 500 mL. To 20 mL of this solutions $${1 \over 2}$$ mL of 5 M NaOH is added. The pH of the solution is __________.

[Given : pKa of acetic acid = 4.75, molar mass of acetic of acid = 60 g/mol, log 3 = 0.4771] Neglect any changes in volume.