Question

The reaction \[\ce{SO2Cl2(g) -> SO2(g) + Cl2(g)}\] is a first-order gas reaction with k = 2.2 × 10⁻⁵ sec⁻¹ at 320°C. The percentage of SO₂Cl₂ is decomposed on heating this gas for 90 min, is ______%.

Options

• 11.2

• 21.3

• 31.4

• 41.6

Answer 1

The reaction \[\ce{SO2Cl2(g) -> SO2(g) + Cl2(g)}\] is a first-order gas reaction with k = 2.2 × 10⁻⁵ sec⁻¹ at 320°C. The percentage of SO₂Cl₂ is decomposed on heating this gas for 90 min, is 11.2%.

Explanation:

k = `2.303/"t" log  "R"_0/"R"`

`log  "R"_0/"R" = (2.2 xx 10^-5 xx 90 xx 60)/2.303`

`log  "R"_0/"R"` = 0.05

⇒ `"R"_0/"R"` = 10^0.05

⇒ `"R"_0/"R"` = 1.12

⇒ R₀ = 1.12 R

% decomposed = 11.2% ...[% a = 1 – e^–kt × 100]