Answer:
The second run will be faster - true, the increased surface area of catalyst will increase the rate of reaction
The second run will have the same rate as the first - possible, in case there is a factor other than catalyst limiting the reaction
The second run has twice the surface area - yes, 44 sqcm to 22 sqcm
Explanation:
A catalyst is a material which speeds up a reaction without being consumed in the process. A heterogeneous catalyst is one which is of a different phase than the reactants. The effectiveness of a catalyst is dependent on the available surface area. The first step for this question is to determine the total available surface area of catalyst in both processes.
Step 1: Determine radius of large sphere




Step 2: Determine surface area of large sphere



Step 3: Determine radius of small sphere




Step 4: Determine surface area of small sphere



Step 5: Determine total surface area of 8 small spheres



- Surface area of 1 large sphere
- Surface area of 8 small spheres
Options:
- The second run will be faster - true, the increased surface area of catalyst will increase the rate of reaction
- The second run will be slower - false, the increased surface area of catalyst will increase the rate of reaction
- The second run will have the same rate as the first - possible, in case there is a factor other than catalyst limiting the reaction
- The second run has twice the surface area - yes, 44 sqcm to 22 sqcm
- The second run has eight times the surface area - no, 44 sqcm to 22 sqcm
- The second run has 10 times the surface area - no, 44 sqcm to 22 sqcm
Balanced chemical equation:
* moles of oxygen
4 Al + 3 O2 = 2 Al2O3
4 moles Al -------------- 3 moles O2
9.30 moles Al ---------- moles O2
moles O2 = 9.30 * 3 / 4
moles O2 = 27.9 / 4 => 6.975 moles of O2
Therefore:
Molar mass O2 = 31.9988 g/mol
n = m / mm
6.975 = m / 31.9988
m = 6.975 * 31.9988
m = 223.19 of O2