How many litres of water must be added to 1 litre of an aqueous solution of HCl with a pH of 1 to create an aqueous solution with pH of 2?

Question

How many litres of water must be added to 1 litre of an aqueous solution of HCl with a pH of 1 to create an aqueous solution with pH of 2? (A) 0.1 L (B) 0.9 L (C) 2.0 L (D) 9.0 L

Tardigrade Admin · Accepted Answer

At pH =1 Concentration of [ H +]=10-1 M =0.1 M At pH =2 Concentration of [ H +]=10-2 M =0.1 M Now M 1 V 1= M 2 V 2 0.1 M × 11=0.01 M × V 2 V 2=10 L Thus the final volume of solution is 10 L. Hence 9 L should be added to 1 L of solution to make pH =2 from pH =1

Q. How many litres of water must be added to 1 litre of an aqueous solution of HCl with a pH of 1 to create an aqueous solution with pH of 2?

0.1 L

0.9 L

2.0 L

9.0 L

At pH=1 Concentration of [H+]=10−1M=0.1M At pH=2 Concentration of [H+]=10−2M=0.1M Now M1​V1​=M2​V2​ 0.1M×11=0.01M×V2​ V2​=10L Thus the final volume of solution is 10L. Hence 9L should be added to 1L of solution to make pH=2 from pH=1