Final answer:
To find the volume of hydrogen gas produced, we first convert the mass of tin to moles using its molar mass. Then we use the ideal gas law to calculate the volume of gas produced at STP.
Step-by-step explanation:
To find the number of milliliters of hydrogen gas produced, we first need to convert the mass of tin to moles using its molar mass. The molar mass of Sn is 118.71 g/mol, so the number of moles of Sn will be:
moles of Sn = (mass of Sn) / (molar mass of Sn) = (3.00 g) / (118.71 g/mol) = 0.0253 mol
According to the balanced equation, the mole ratio between Sn and H2 is 1:1. Therefore, the number of moles of H2 produced will also be 0.0253 mol.
Now, to find the volume of H2 gas, we can use the ideal gas law, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.
At STP (standard temperature and pressure), the pressure is 1 atm and the temperature is 273 K. The ideal gas constant, R, is 0.0821 L·atm/mol·K. Plugging in the values, we can solve for V:
V = (nRT) / P = (0.0253 mol) * (0.0821 L·atm/mol·K) * 273 K / 1 atm = 0.570 L
Finally, to convert liters to milliliters, we multiply by 1000:
Volume of H2 gas = (0.570 L) * (1000 mL/L) = 570 mL