84 m/s x 31.221 s = 2600 m
-rounded from 2622.564 m because 84 m/s has only two significant figures
Answer:
102g
Explanation:
To find the mass of ethanol formed, we first need to ensure that we have a balanced chemical equation. A balanced chemical equation is where the number of atoms of each element is the same on both sides of the equation (reactants and products). This is useful as only when a chemical equation is balanced, we can understand the relationship of the amount (moles) of reactant and products, or to put it simply, their relationship with one another.
In this case, the given equation is already balanced.

From the equation, the amount of ethanol produced is twice the amount of yeast present, or the same amount of carbon dioxide produced. Do note that amount refers to the number of moles here.
Mole= Mass ÷Mr
Mass= Mole ×Mr
<u>Method 1: using the </u><u>mass of glucose</u>
Mr of glucose
= 6(12) +12(1) +6(16)
= 180
Moles of glucose reacted
= 200 ÷180
=
mol
Amount of ethanol formed: moles of glucose reacted= 2: 1
Amount of ethanol
= 
=
mol
Mass of ethanol
= ![\frac{20}{9} \times[2(12)+6+16]](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B9%7D%20%5Ctimes%5B2%2812%29%2B6%2B16%5D)
= 
= 102 g (3 s.f.)
<u>Method 2: using </u><u>mass of carbon dioxide</u><u> produced</u>
Mole of carbon dioxide produced
= 97.7 ÷[12 +2(16)]
= 97.7 ÷44
=
mol
Moles of ethanol: moles of carbon dioxide= 1: 1
Moles of ethanol formed=
mol
Mass of ethanol formed
= ![\frac{977}{440} \times[2(12)+6+16]](https://tex.z-dn.net/?f=%5Cfrac%7B977%7D%7B440%7D%20%5Ctimes%5B2%2812%29%2B6%2B16%5D)
= 102 g (3 s.f.)
Thus, 102 g of ethanol are formed.
Additional:
For a similar question on mass and mole ratio, do check out the following!
<u>Answer:</u> The pH of the resulting solution will be 3.60
<u>Explanation:</u>
Molarity is calculated by using the equation:
......(1)
We are given:
Molarity of formic acid = 0.100 M
Molarity of potassium formate = 0.100 M
Volume of solution = 420 mL = 0.420 L (Conversion factor: 1 L = 1000 mL)
Putting values in equation 1, we get:


Molarity of KOH = 1.00 M
Volume of solution = 7 mL = 0.007 L
Putting values in equation 1, we get:

The chemical equation for the reaction of formic acid and KOH follows:

I: 0.042 0.007 0.042
C: -0.007 -0.007 +0.007
E: 0.035 - 0.049
Volume of solution = [420 + 7] = 427 mL = 0.427 L
To calculate the pH of the acidic buffer, the equation for Henderson-Hasselbalch is used:
.......(2)
Given values:
![[HCOOK]=\frac{0.049}{0.427}](https://tex.z-dn.net/?f=%5BHCOOK%5D%3D%5Cfrac%7B0.049%7D%7B0.427%7D)
![[HCOOH]=\frac{0.035}{0.427}](https://tex.z-dn.net/?f=%5BHCOOH%5D%3D%5Cfrac%7B0.035%7D%7B0.427%7D)

Putting values in equation 2, we get:

Hence, the pH of the resulting solution will be 3.60
Answer:
When we weigh beans in this mass ratio, we must obtain the same number of beans.Explanation:
Nothing will happen
Answer: 2.5°C
Explanation:
Initial volume V1 = 5.38 liters
Initial temperature T1 = 36.0°C
Convert temperature in Celsius to Kelvin
(32°C + 273= 305K)
Final temperature T2 = ?
Final volume V2 = 4.68 liters
According to Charle's law, the volume of a fixed mass of a gas is directly proportional to the temperature.
Thus, Charles' Law is expressed as: V1/T1 = V2/T2
5.38/305 = 4.86/T2
To get the value of T2, cross multiply
5.38 x T2 = 4.86 x 305
5.38T2 = 1482.3
Divide both sides by 5.38
5.38T2/5.38 = 1482.3/5.38
T2 = 275.5K
Convert 275.5K to Celsius
(275.5K - 273K = 2.5°C)
Thus, the final temperature is 2.5°C