Answer to Question #177970 in Physical Chemistry for Gem

Question

The first-order rate constant for the decomposition of N2O5 to NO2 and O2 at 70 °C is 5.3 × 10–3 s–1. Suppose we start with 0.500 mol of N2O5(g) in a 0.700 L container, how many moles of N2O5 will remain after 1.5 min?

Answer 1

$ln(\frac{A_0}{A_t})=kt$

$ln(\frac{A_0}{A_t})=5.3×10^{-3}×1.5×60$

$ln(\frac{A_0}{A_t})=0.447$

$A_t=(\frac{0.500}{e^{0.447}})=0.31 moles$