Answer: An increase in the amount of radium-226 will increase the reaction rate as radioactive decay follows first order kinetics.
An increase in the amount of [tex]AgNO_3[/tex] and NaCl will increase the reaction rate as the reaction follows first order kinetics with respect to [tex]AgNO_3[/tex] and first order with respect to NaCl.
[tex]^{226}_{88}\textrm{Ra}\rightarrow^{222}_{86}\textrm{Rn} +^4_2\textrm{He}[/tex]
[tex]rate= k[Ra]^1[/tex]
If the amount of radium is doubled , the rate of the reaction also doubles.
[tex]AgNO_3 + NaCl\rightarrow AgCl +NaNO_3[/tex]
[tex]rate= k[AgNO_3]^1[NaCl]^1[/tex]
If only the amount of [tex]AgNO_3[/tex] is doubled , the rate of the reaction also doubles. If only the amount of NaCl is doubled , the rate of the reaction doubles. lf the concentration of [tex]AgNO_3[/tex] and NaCl both are doubled, the reaction rate becomes 4 times.
