Final answer:
To find the number of moles of hydrogen in 174 g of butane, calculate the moles of butane and then multiply by 10, since each molecule of butane contains 10 hydrogen atoms. The total is 29.9 moles of hydrogen.
Step-by-step explanation:
There are 8.81 moles of hydrogen in 174 g of butane (C4H10). This is calculated by first determining the moles of butane and then multiplying by the number of hydrogen atoms per molecule.
To calculate the number of moles of hydrogen in a given mass of butane, we must start by calculating the molar mass of butane. Butane (C4H10) has a molar mass of 58.12 g/mol (44.10 g/mol from carbon and 14.02 g/mol from hydrogen). Next, using the mass given (174 g), we find the number of moles of butane by dividing the mass by the molar mass: 174 g / 58.12 g/mol = 2.99 moles of butane. Each molecule of butane has 10 hydrogen atoms.
Therefore, to find the total moles of hydrogen, we multiply the moles of butane by the number of hydrogen atoms per molecule: 2.99 moles of butane x 10 = 29.9 moles of hydrogen. This is how we determine the quantity of hydrogen present in a specific mass of butane.