A sample of radium-226 will decay to ¼ of its original amount after 3200 years. What is the half-life of radium-226? years

t(half-life) = 1600 yrs

Explanation:

All radio decay follows 1st order kinetics and therefore can be applied to the expression A = A₀e^(-kt)

A = current activity

A₀ = initial activity

k = decay constant

t = time of decay

Half-Life = 0.693/k

k = ln(A/A₀) / -t = ln(0.25) / -3200yrs = 4.33x 10⁻⁴ yrs⁻¹

Half-Life => t(1/2) = (0.693/4.33 x 10⁻⁴)yrs⁻¹ = 1600 yrs.

adding or remove a gaseous reactant or product changes the concentrations. if the concentration of reactant or product is increased, the system will shift away from the side in which concentration was increased (i.e. if the concentration of reactants is increased, the system will shift toward the products. if more products are added, the system will shift to form more reactants). conversely, if the concentration of reactant or product is decreased, the system will shift toward the side in which concentration was decreased (i.e. if reactants are removed, the system will shift to form more reactants. if the concentration of products is decreased, the equilibrium will shift toward the products).

explanation: