Question

2) If 500 mL of a 5M HCl is diluted to 1000 mL, what will be the molarity of the resulting solution ? A) 2.5 M B) 1.0 M C) 0.025 M D) 1.59 M

Answer 1

$\bigstar$ Answer:

$\checkmark$ Given:

⇒ 500 mL of a 5M HCl is diluted to 1000 mL

$\checkmark$ To Find:

⇒ The Molarity ( M ) of the resulting Solution

$\checkmark$ Solution:

We know that,

Molarity Equation

$\blue{\boxed{\boxed{\sf M_1 \times V_1 = M_2 \times V_2}}}$

Given that,

500 mL of a 5M HCl is diluted to 1000 mL

Hence,

$\red{\sf \implies V_1=500 \ ml}$

$\green{\sf \implies M_1=5 \ M}$

$\pink{\sf \implies V_2=1000 \ ml}$

$\blue{\sf \implies M_2= \ ? \ M}$

So,

According to the Question,

$\longrightarrow \pink{\sf We \ are \ asked \ to \ find \ M_2}$

Therefore,

Substituting the above values in the Formula

We get,

$\purple{\sf \implies 500 \times 5=1000 \times M_2}$

$\purple{\sf \implies \dfrac{500 \times 5}{1000} = M_2}$

$\purple{\sf \implies M_2=\dfrac{500 \times 5}{1000}}$

$\purple{\sf \implies M_2=\dfrac{2500}{1000}}$

$\purple{\sf \implies M_2=2.5 \ M}$

Hence,

The Molarity of the resulting Solution is 2.5 M

Molarity ( M ) = 2.5 M

Hence,

$\checkmark$ Option (A) is correct $\checkmark$