what is the final volume of the diluted solution when 25.0 ml of 5.0 m nacl is diluted to 2.0 m? ? ml
what is the final volume of the diluted solution when 25.0 ml of 5.0 m nacl is diluted to 2.0 m? ? ml
Answer
Explanation:
Step1: Recall dilution formula
The dilution formula is ( C_1V_1 = C_2V_2 ), where ( C_1 ) is the initial concentration, ( V_1 ) is the initial volume, ( C_2 ) is the final concentration, and ( V_2 ) is the final volume.
Step2: Identify known values
We know that ( C_1 = 5.0 , M ), ( V_1 = 25.0 , mL ), and ( C_2 = 2.0 , M ). We need to find ( V_2 ).
Step3: Rearrange formula to solve for ( V_2 )
From ( C_1V_1 = C_2V_2 ), we can rearrange to ( V_2=\frac{C_1V_1}{C_2} ).
Step4: Substitute values into formula
Substitute ( C_1 = 5.0 , M ), ( V_1 = 25.0 , mL ), and ( C_2 = 2.0 , M ) into the formula: ( V_2=\frac{5.0 , M\times25.0 , mL}{2.0 , M} ). First, calculate the numerator: ( 5.0\times25.0 = 125 ). Then divide by the denominator: ( \frac{125}{2.0}=62.5 , mL ).
Answer:
( 62.5 )