Mole concept -2

Chemistry Level 2

The hardness of a water sample is 300 ppm CaCO 3 300 \ \text{ppm} \ \text{CaCO}_{3} . What is the molarity of CaCO 3 \text{CaCO}_{3} ?


The answer is 0.003.

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2 solutions

Chew-Seong Cheong
Feb 22, 2016

300 ppm of C a C O X 3 in water = 300 g C a C O X 3 1 0 6 g H X 2 O = 0.3 g C a C O X 3 1000 g H X 2 O 0.3 g C a C O X 3 1 L H X 2 O 0.003 mol C a C O X 3 1 L H X 2 O Since molar mass of C a C O X 3 100 g = 0.003 M \begin{aligned} \text{300 ppm of }\ce{CaCO3} \text{ in water} & = \frac{\text{300 g }\ce{CaCO3}}{10^6 \text{ g }\ce{H2O}} \\ & = \frac{\text{0.3 g }\ce{CaCO3}}{1000 \text{ g }\ce{H2O}} \\ & \approx \frac{\text{0.3 g }\ce{CaCO3}}{1 \text{ L }\ce{H2O}} \\ & \approx \frac{\color{#3D99F6}{\text{0.003 mol }}\ce{CaCO3}}{1 \text{ L }\ce{H2O}} \quad \quad \small \color{#3D99F6}{\text{Since molar mass of }\ce{CaCO3} \approx \text{100 g}} \\ & = \boxed{0.003} \text{ M} \end{aligned}

Rubayet Tusher
Apr 24, 2015

300 ppm Means 300 mg per Litre. That means 0.3 gm CaCO3 or (0.3/100)=0.003 mole CaCO3 per Litre. And that is the required molarity 0.003.

Can I say that 300 ppmCaCO3 = 300gCaCO3/10^6g of solution?

Bruno Oggioni Moura - 5 years, 10 months ago

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