In this lab procedure, the ___ variable is the number of half-life cycles (time) and the ___ variable is the number (or fraction) of (radioactive) Lincolnium nuclei remaining at that time.

Independent, Dependent

Explanation:

In the given lab procedure, the number of half-life cycles or the time in which the number of nuclei in radio-active substance turns into its half would be characterized as the 'independent' variable as it directly affects the dependent variable i.e. 'the number(or fraction) of Lincolnium nuclei remaining at that time.' The number of nuclei would be the dependent variable as it bears the change or effect of a change in the independent variable(half-life cycle).

2b2t

explanation:

2b2t

as given the equation is

2al + 6 hcl > 2 alcl3 + 3 h2(g)

as per equation two moles of aluminum reacts with six moles of hcl to give two moles of alcl3 and three moles of hydrogen gas

given: three moles of al are present and 7 moles of hcl

for three moles of aluminum nine moles of hcl will be required

however as 7 moles of hcl are present so the limiting reagent is hcl

hcl is going to decide the number of moles of product formed

when six moles of hcl are present = 3 moles of h2 are formed

when one mole of hcl is present == 3/6 mole sof h2 will be formed

when 7 moles of hcl are present = 3 x 7/ 6 moles of h2 will be formed = 3.5 moles of h2