Answer: The staircase is 14.28 m high.
Explanation:
Given : Mass = 0.1 kg
Potential energy = 14 J
Potential energy is the energy occupied by the position of a substance. Therefore, formula for potential energy is as follows.
P.E = mgh
where,
m = mass
g = gravitational energy =
h = height of object
Substitute the values into above formula as follows.
Thus, we can conclude that the staircase is 14.28 m high.
<u>Answer:</u> The percent yield of water is 46.9 %
<u>Explanation:</u>
To calculate the number of moles, we use the equation:
.....(1)
Given mass of sulfuric acid = 72.6 g (Assuming)
Molar mass of sulfuric acid = 98 g/mol
Putting values in equation 1, we get:
Given mass of NaOH = 77 g (Assuming)
Molar mass of NaOH = 40 g/mol
Putting values in equation 1, we get:
The chemical equation for the reaction of sulfuric acid and sodium hydroxide follows:
By Stoichiometry of the reaction:
1 mole of sulfuric acid reacts with 2 moles of NaOH
0.741 moles of sulfuric acid will react with = of NaOH
As, given amount of NaOH is more than the required amount. So, it is considered as an excess reagent.
Thus, sulfuric acid is considered as a limiting reagent because it limits the formation of product.
By Stoichiometry of the reaction:
1 mole of sulfuric acid reacts with 2 moles of water
0.741 moles of sulfuric acid will react with = of water
Molar mass of water = 18 g/mol
Moles of water = 1.482 moles
Putting values in equation 1, we get:
Experimental yield of water = 12.5 g (Assuming)
Theoretical yield of water = 26.67 g
Putting values in above equation, we get:
Hence, the percent yield of water is 46.9 %