6.022x10^22 molecules of a compound X has mass 10 g. what is the molarity of solution containing 5 g of X in 2 litre solution. answer as P (where M = Px10^-3 mole/lit)
Answers
Answer:
P= 250
Explanation:
given 6.022x10^22 molecules has a mass of 10gms
implies 1 mole of substance X has 10gms
now 5 gms of a substance x means 1/2 mole
Molarity(M)= no.of moles of solute/volume of the solution
M=(1/2)×(1/2)
M=0.25mole/lit
M=250×10^-3 mole/lit
It has given that 6.022 × 10²² molecules of a compound X has mass 10g.
we have to find the molarity of solution containing 5g of X in 2 litre solution.
solution : 6.022 × 10²² molecules of a compound X has mass 10g.
so 5g of compound X contains 3.011 × 10²² molecules.
no of moles of X = (no of molecules of X)/(Avogadro's number)
= (3.011 × 10²²)/(6.022 × 10²³)
= 1/20
= 0.05
now Molarity = (no of moles)/(volume in litre)
= 0.05/2 = 0.025
but given, molarity M = P × 10¯³ mol/L .....(1)]
here M = 0.025 = 25 × 10¯³ mol/L
on comparing to eq (1) we get P = 25
Therefore the value of P is 25