What volume of hydrogen is produced at s.t.p. When 2.60 g of zinc reacts with excess HCI according to the following equation? Zn(s) + 2HCI(aq) → ZnCI 2(aq) ...
What volume of hydrogen is produced at s.t.p. When 2.60 g of zinc reacts with excess HCI according to the following equation? Zn(s) + 2HCI(aq) → ZnCI 2(aq) + H2(g) [Zn = 65; 1 mole of a gas occupies 22.4dm3 at s.t.p]
Answer Details
The balanced chemical equation is:
Zn(s) + 2HCl(aq) → ZnCl2(aq) + H2(g)
First, we need to find the moles of zinc present:
m(Zn) = 2.60 g
M(Zn) = 65 g/mol (molar mass of Zn)
n(Zn) = m(Zn) / M(Zn)
n(Zn) = 2.60 g / 65 g/mol
n(Zn) = 0.04 mol
According to the balanced equation, 1 mole of zinc reacts with 2 moles of hydrochloric acid to produce 1 mole of hydrogen gas. Since we have an excess of hydrochloric acid, all the zinc will react, and the amount of hydrogen produced can be calculated as follows:
n(H2) = n(Zn) × 1 mol H2 / 1 mol Zn
n(H2) = 0.04 mol
Now we can use the ideal gas law to find the volume of hydrogen produced at STP:
PV = nRT
where P is the pressure (which is 1 atm at STP), V is the volume, n is the number of moles, R is the gas constant (0.08206 L·atm/mol·K), and T is the temperature (273 K at STP).
Solving for V:
V = nRT / P
V = (0.04 mol) × (0.08206 L·atm/mol·K) × (273 K) / (1 atm)
V = 0.89 L
V = 0.89 dm3 (since 1 L = 1 dm3)
Therefore, the volume of hydrogen produced at STP is 0.89 dm3, which is option (B).