Question

c) you read online that 1ml of water weighs 1 gram. you drink 2.5 litres of water everyday. how many moles of water do you consume in a day?

Explanation:

Step1: Convert liters to milliliters

Since \(1\) liter \( = 1000\) milliliters, then \(2.5\) liters \(=2.5\times1000 = 2500\) milliliters.

Step2: Find the mass of water

Given that \(1\) milliliter of water weighs \(1\) gram, so the mass \(m\) of \(2500\) milliliters of water is \(m = 2500\times1=2500\) grams.

Step3: Calculate the number of moles

The molar mass of water \(H_2O\) is \(M=(2\times1 + 16)\space g/mol=18\space g/mol\). Using the formula \(n=\frac{m}{M}\), where \(n\) is the number of moles and \(m\) is the mass. Substitute \(m = 2500\space g\) and \(M = 18\space g/mol\) into the formula: \(n=\frac{2500}{18}\approx138.89\) moles.

Answer:

Approximately \(138.89\) moles.