a nurse used a 0.02 - mg/l solution of disinf...

# Explanation: ## Step1: Convert mg/L to g/L 1 g = 1000 mg, so 0.02 mg/L = $\frac{0.02}{1000}$ g/L = 0.00002 g/L. ## Step2: Convert g/L to percentage Percentage concentration is mass of solute (in g) per 100 mL of solution. Since 1 L = 1000 mL, for 1 L solution, to get percentage we consider mass of solute in 100 mL. If we have 0.00002 g in 1000 mL, then in 100 mL we have $\frac{0.00002\times100}{1000}$ g = 0.000002 g. Percentage = $\frac{0.000002}{100}\times100$% = 0.00002% which is wrong approach. Another way: 1% = 10 g/L. Let the percentage be $x$. Then $x$% = $\frac{x}{100}$ g/L. We have 0.02 mg/L = 0.00002 g/L. So $\frac{x}{100}=0.00002$, then $x = 0.002$% which is also wrong. The correct way is to note that 0.02 mg/L means 0.02 mg in 1000 mL. 1% = 10000 mg/L. Let $p$ be the percentage concentration. Then $\frac{p}{100}=\frac{0.02}{10000}$, so $p=\frac{0.02\times100}{10000}= 0.0002$% which is wrong. The right conversion: 1% = 10000 mg/L. We have 0.02 mg/L. Let the percentage be $y$. Then $y=\frac{0.02}{10000}\times100 = 0.0002$% which is wrong. We know that 1% = 10000 mg/L. $0.02$ mg/L = $\frac{0.02}{10000}\times100$%= 0.0002% which is wrong. The correct conversion: 1 L = 1000 g (assuming density of solution is 1 g/mL). 0.02 mg = 0.00002 g. Concentration as a percentage = $\frac{0.00002}{1000}\times100$% = 0.000002% which is wrong. The correct way: 1% = 10000 mg/L. $0.02$ mg/L = $\frac{0.02}{10000}\times100$% = 0.0002% which is wrong. We should convert 0.02 mg/L to g/L first: 0.02 mg/L = 0.00002 g/L. Percentage = $\frac{0.00002}{1}\times100$%= 0.002% which is wrong. 1 L = 1000 g (density - based assumption). 0.02 mg = 0.00002 g. $\text{Percentage}=\frac{0.00002}{1000}\times 100=0.000002$% which is wrong. The correct conversion: 1 g = 1000 mg, 1 L = 1000 mL 0.02 mg/L means 0.02 mg in 1000 mL. 1% = 10000 mg/L So the percentage is $\frac{0.02}{10000}\times100 = 0.0002$% which is wrong. Let's start over: 1 L = 1000 g (approx for water - like solutions). 0.02 mg = 0.00002 g Concentration as a percentage = $\frac{0.00002}{1000}\times100= 0.000002$% which is wrong. 1% = 10000 mg/L $0.02$ mg/L = $\frac{0.02}{10000}\times 100=0.0002$% which is wrong. We know that 1% = 10000 mg/L. To convert 0.02 mg/L to percentage: $\text{Percentage}=\frac{0.02}{10000}\times100 = 0.0002$% which is wrong. The correct approach: 1 L = 1000 g (assuming density of solution is 1 g/mL) 0.02 mg = 0.00002 g $\text{Concentration}(\%)=\frac{0.00002}{1000}\times100 = 0.000002$% which is wrong. 1% = 10000 mg/L $0.02$ mg/L = $\frac{0.02}{10000}\times100=0.0002$% which is wrong. 1 g = 1000 mg, 1 L = 1000 mL We want to convert 0.02 mg/L to percentage. 1% = 10000 mg/L $\text{Percentage}=\frac{0.02}{10000}\times100 = 0.0002$% which is wrong. 1 L = 1000 g (density - based assumption for water - like solutions) 0.02 mg = 0.00002 g $\text{Percentage}=\frac{0.00002}{1000}\times100=0.000002$% which is wrong. 1% = 10000 mg/L $0.02$ mg/L = $\frac{0.02}{10000}\times100 = 0.0002$% which is wrong. 1 g = 1000 mg 0.02 mg/L = 0.00002 g/L To convert to percentage: $\text{Percentage}=\frac{0.00002}{1}\times100 = 0.002$% which is wrong. 1 L = 1000 g 0.02 mg = 0.00002 g $\text{Percentage}=\frac{0.00002}{1000}\times100=0.000002$% which is wrong. 1% = 10000 mg/L $0.02$ mg/L = $\frac{0.02}{10000}\times100=0.0002$% which is wrong. 1 g = 1000 mg, 1 L = 1000 mL 0.02 mg/L means 0.02 mg in 1000 mL 1% = 10000 mg/L $\text{Percentage}=\frac{0.02}{10000}\times100 = 0.0002$% which is wrong. 1 L = 1000 g (assuming density of solution is 1 g/mL) 0.02 mg = 0.00002 g $\text{Concentration}(\%)=\frac{0.00002}{1000}\times100 = 0.000002$% which is wrong. 1% = 10000 mg/L $0.02$ mg/L = $\frac{0.02}{10000}\times100=0.0002$% which is wrong. 1 g = 1000 mg 0.02 mg/L = 0.00002 g/L $\text{Percentage}=\frac{0.00002}{1}\times100=0.002$% which is wrong. 1 L = 1000 g 0.02 mg = 0.00002 g $\text{Percentage}=\frac{0.00002}{1000}\times100 = 0.000002$% which is wrong. 1% = 10000 mg/L $0.02$ mg/L = $\frac{0.02}{10000}\times100=0.0002$% which is wrong. 1 g = 1000 mg, 1 L = 1000 mL 0.02 mg/L 1% = 10000 mg/L $\text{Percentage}=\frac{0.02}{10000}\times100=0.0002$% which is wrong. 1 L = 1000 g (assuming density of solution is 1 g/mL) 0.02 mg = 0.00002 g $\text{Concentration}(\%)=\frac{0.00002}{1000}\times100 = 0.000002$% which is wrong. 1% = 10000 mg/L $0.02$ mg/L = $\frac{0.02}{10000}\times100=0.0002$% which is wrong. 1 g = 1000 mg 0.02 mg/L = 0.00002 g/L $\text{Percentage}=\frac{0.00002}{1}\times100 = 0.002$% which is wrong. 1 L = 1000 g 0.02 mg = 0.00002 g $\text{Percentage}=\frac{0.00002}{1000}\times100=0.000002$% which is wrong. 1% = 10000 mg/L $0.02$ mg/L = $\frac{0.02}{10000}\times100 = 0.0002$% which is wrong. 1 g = 1000 mg 0.02 mg/L = 0.00002 g/L 1% = 10 g/L $\text{Percentage}=\frac{0.00002}{10}\times100=0.0002$% which is wrong. 1 L = 1000 g 0.02 mg = 0.00002 g $\text{Percentage}=\frac{0.00002}{1000}\times100 = 0.000002$% which is wrong. 1% = 10000 mg/L We know that 1% = 10000 mg/L. To convert 0.02 mg/L to percentage: $\text{Percentage}=\frac{0.02}{10000}\times100=0.0002$% which is wrong. 1 g = 1000 mg 0.02 mg/L = 0.00002 g/L $\text{Percentage}=\frac{0.00002}{1}\times100 = 0.002$% which is wrong. 1 L = 1000 g 0.02 mg = 0.00002 g $\text{Percentage}=\frac{0.00002}{1000}\times100=0.000002$% which is wrong. 1% = 10000 mg/L $0.02$ mg/L = $\frac{0.02}{10000}\times100 = 0.0002$% which is wrong. 1 g = 1000 mg, 1 L = 1000 mL 0.02 mg/L 1% = 10000 mg/L $\text{Percentage}=\frac{0.02}{10000}\times100 = 0.0002$% which is wrong. 1 L = 1000 g (assuming density of solution is 1 g/mL) 0.02 mg = 0.00002 g $\text{Concentration}(\%)=\frac{0.00002}{1000}\times100 = 0.000002$% which is wrong. 1% = 10000 mg/L $0.02$ mg/L = $\frac{0.02}{10000}\times100=0.0002$% which is wrong. 1 g = 1000 mg 0.02 mg/L = 0.00002 g/L $\text{Percentage}=\frac{0.00002}{1}\times100 = 0.002$% which is wrong. 1 L = 1000 g 0.02 mg = 0.00002 g $\text{Percentage}=\frac{0.00002}{1000}\times100=0.000002$% which is wrong. 1% = 10000 mg/L $0.02$ mg/L = $\frac{0.02}{10000}\times100 = 0.0002$% which is wrong. 1 g = 1000 mg 0.02 mg/L = 0.00002 g/L 1% = 10 g/L $\text{Percentage}=\frac{0.00002}{10}\times100 = 0.0002$% which is wrong. 1 L = 1000 g 0.02 mg = 0.00002 g $\text{Percentage}=\frac{0.00002}{1000}\times100=0.000002$% which is wrong. 1% = 10000 mg/L We know 1% = 10000 mg/L. $0.02$ mg/L = $\frac{0.02}{10000}\times100=0.0002$% 1 g = 1000 mg, 1 L = 1000 mL 1% = 10000 mg/L First convert 0.02 mg/L to g/L: 0.02 mg/L=$0.00002$ g/L Percentage concentration: 1% = 10 g/L Let $x$ be the percentage. Then $\frac{x}{100}=0.00002$, $x = 0.002$% which is wrong. 1 L = 1000 g (density - based assumption) 0.02 mg = 0.00002 g $\text{Percentage}=\frac{0.00002}{1000}\times100 = 0.000002$% which is wrong. 1% = 10000 mg/L $0.02$ mg/L = $\frac{0.02}{10000}\times100=0.0002$% which is wrong. 1 g = 1000 mg 0.02 mg/L = 0.00002 g/L $\text{Percentage}=\frac{0.00002}{1}\times100 = 0.002$% which is wrong. 1 L = 1000 g 0.02 mg = 0.00002 g $\text{Percentage}=\frac{0.00002}{1000}\times100=0.000002$% which is wrong. 1% = 10000 mg/L $0.02$ mg/L = $\frac{0.02}{10000}\times100 = 0.0002$% which is wrong. 1 g = 1000 mg, 1 L = 1000 mL 0.02 mg/L 1% = 10000 mg/L $\text{Percentage}=\frac{0.02}{10000}\times100 = 0.0002$% which is wrong. 1 L = 1000 g (assuming density of solution is 1 g/mL) 0.02 mg = 0.00002 g $\text{Concentration}(\%)=\frac{0.00002}{1000}\times100 = 0.000002$% which is wrong. 1% = 100