a sample of aluminum is placed in a 25.0 ml graduated cylinder containing 10.0 ml of water the level of the water rises to 18.0 ml aluminum has a density of 2.70 g/mL what is the mass?

A rate equation can be written based on the rate constant k, concentration of reactants and half life time t1/2 of reactant if given. [A⁰] is the initial concentration of reactant A and  [A]t be the final concentration.

What is rate of reaction?

Rate of a reaction is the rate of decrease in concentration of reactants or rate of increase in concentration of products. Rate of the reaction written in terms of molar concentration of reactants is called the rate law.

Consider the simplest reaction A gives B. Here the only one reactant is A. The molar concentration of A is written as [A]. The rate constant k is then,

k = [B] / [A]

If any coefficients attached with them it is written as power of the concentration term. Now, the rate of the above reaction is written as follows:

rate r = k [A]

Sometimes the initial and final concentrations of A can be considered. Where, [A⁰] is the initial concentration and [A]t be the final concentration.

The half life t1/2 is the time taken to consume half of the reactants concentration.

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Gay-Lussacs law states that pressure of a gas is directly proportional to temperature when the volume is kept constant

P / T = k

where P - pressure , T - temperature in kelvin and k - constant

where parameters for the first instance are on the left side of the equation and parameters for the second instance are on the right side of the equation

T1 - 25 °C + 273 = 298 K

substituting the values in the equation

T2 = 388 K

temperature in celcius - 388 K - 273 = 115 °C

answer is C. 115 °C