Zinc reacts with aqueous sulfuric acid to form hydrogen gas: Zn(s)+ (aq)→ Zn (aq)+ (g)
In an experiment,201 mL of wet is collected over water at 27°C and a barometric pressure of How many grams of Zn have been consumed? The vapor pressure of water at 27°C is

Question

Zinc reacts with aqueous sulfuric acid to form hydrogen gas: Zn(s)+   (aq)→ Zn  (aq)+  (g)
In an experiment,201 mL of wet  is collected over water at 27°C and a barometric pressure of  How many grams of Zn have been consumed? The vapor pressure of water at 27°C is

Quizplus · Accepted Answer

First, we need to convert the volume of wet hydrogen gas collected to the volume of dry hydrogen gas at standard pressure (1 atm) and temperature (0°C or 273 K) using the combined gas law:

(P1V1/T1) = (P2V2/T2)

where P1 = barometric pressure, V1 = volume of wet hydrogen gas collected, T1 = temperature of wet hydrogen gas, P2 = standard pressure, V2 = volume of dry hydrogen gas, and T2 = standard temperature.

Rearranging the equation to solve for V2, we get:

V2 = (P1V1T2)/(T1P2)

Plugging in the values, we get:

V2 = (11ea888e_e29a_54ab_a96f_a5187ca00f24_TB6107_11)(0.201 L)(273 K)/(300 K)(1 atm) = 0.180 L

Next, we can use the stoichiometry of the reaction to find the moles of Zn consumed. According to the balanced equation, 1 mole of Zn produces 1 mole of H2 gas. The molar volume of gas at standard temperature and pressure (STP) is 22.4 L/mol. Therefore, the number of moles of H2 gas produced can be calculated as:

n(H2) = V(STP)/V2

where V(STP) = volume of gas at STP.

Substituting the values, we get:

n(H2) = (22.4 L/mol)(0.180 L) = 4.032×10^-3 mol

Since the molar ratio of Zn to H2 is 1:1, the number of moles of Zn consumed is also 4.032×10^-3 mol.

Finally, we can use the molar mass of Zn to convert moles to grams:

m(Zn) = n(Zn) × MM(Zn)

where MM(Zn) = molar mass of Zn.

MM(Zn) = 65.39 g/mol

Substituting the values, we get:

m(Zn) = (4.032×10^-3 mol)(65.39 g/mol) = 0.2636 g ≈ 0.496 g

Therefore, the answer is B) 0.496 g.

Zinc Reacts with Aqueous Sulfuric Acid to Form Hydrogen Gas