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Chemistry Question on Mole concept and Molar Masses

The molarity of a solution obtained by mixing 750 mL750\, mL of 0.5 M HCl0.5\, M \,HCl with 250 mL250\, mL of 2 M HCl2 \,M \,HCl will be

A

0.875 M0.875\, M

B

1.00 M1.00\,M

C

1.75 M1.75\, M

D

0.0975 M0.0975\,M

Answer

0.875 M0.875\, M

Explanation

Solution

From the formula Mf=M1V1+M2V2V1+V2M_f = \frac{M_1V_1 +M_2V_2}{V_1+V_2}
Given, V1=750mL,M1=0.5MV_1 = 750 mL , M_1 =0.5 M
   V2=250mL,M2=2M\, \, \, V_2 =250 mL, M_2 = 2 M
       =750×0.5+250×2750+250=8751000=0.875M\, \, \, \, \, \, \, =\frac{750 \times 0.5+ 250 \times 2}{750+ 250} = \frac{ 875}{1000} = 0.875 M