Under the action of an excess of concentrated nitric acid on 18 g of copper, gas is released. Determine its volume.
Given:
m (HNO3) = 18 g.
V (gas) -?
Solution:
Let’s find the amount of copper substance by the formula:
n = m: M.
M (Cu) = 64 g / mol.
n = 18 g: 64 g / mol = 0.28 mol.
Let’s compose the reaction equation, find the quantitative ratios of substances.
Сu + 4HNO3 = Cu (NO3) 2 + 2NO2 ↑ + H2O
According to the reaction equation, for 1 mol of copper there is 2 mol of gas – nitrogen oxide (IV). The substances are in quantitative ratios of 1: 2.
The amount of gas substance will be 2 times more than the amount of copper substance.
n (Cu) = n (NO2) = 0.28 × 2 = 0.56 mol.
Let’s find the volume of gas by the formula:
V = Vn n, where Vn is the molar volume of gas, equal to 22.4 l / mol, and n is the amount of substance.
V = 22.4 L / mol × 0.56 mol = 12.54 L.
Answer: V = 12.54 liters.