Solveeit Logo

Question

Question: > One mole of any substance contains \(6.022 \times 10^{23}\)atoms/molecules. Number of molecules of...

One mole of any substance contains 6.022×10236.022 \times 10^{23}atoms/molecules. Number of molecules of H2SO4H_{2}SO_{4}present in 100 mL of 0.02MH2SO40.02MH_{2}SO_{4}solution is_____ molecules.

A

12.044×102012.044 \times 10^{20}

B

6.022×10236.022 \times 10^{23}

C

1×10231 \times 10^{23}

D

12.044×102312.044 \times 10^{23}

Answer

12.044×102012.044 \times 10^{20}

Explanation

Solution

(1) : Molarity

=No.ofmolesofsolute×1000Volumeofsolution(inmL)= \frac{No.ofmolesofsolute \times 1000}{Volumeofsolution(inmL)}

\because1M H2SO4H_{2}SO_{4}contains 1 mole of H2SO4H_{2}SO_{4}in 1000 mL of solution

0.02MH2SO4\therefore 0.02MH_{2}SO_{4}in 100 mL of solution contains

=0.02×1001000=2×103mol= \frac{0.02 \times 100}{1000} = 2 \times 10^{- 3}mol

=2×103×6.022×1023= 2 \times 10^{- 3} \times 6.022 \times 10^{23}

=12.044×1020molecules= 12.044 \times 10^{20}molecules`