Answer:
The gas is decreasing at a rate of 50 cubic centimeters per minute.
Explanation:
The Boyle's Law is represented by the following expression:
(1)
Where:
- Pressure, in kilopascals.
- Volume, in cubic centimeters.
- Proportionality constant, in kilopascal-cubic centimeters.
By definitions of rate of change and implicit differentiation, we derive the following differential equation:
(2)
Where:
- Rate of change of the pressure, in kilopascals per minute.
- Rate of change of the volume, in cubic centimeters per minute.
Then, we clear the rate of change of the volume within (2):


If we know that
,
and
, then the rate of change of the volume is:


The gas is decreasing at a rate of 50 cubic centimeters per minute.
Mg + 2 HCl ------> MgCl₂ +H₂O
The mass percent of potassium chloride is 1.386%
<u><em>calculation</em></u>
mass percent = actual mass/ Theoretical mass x 100
Actual mass = 9.35 g
Theoretical mass is calculated as below
Step 1 : write the equation for reaction
KCl + H₂O → KOH + HCl
Step 2: find the moles of H₂O
moles = mass÷ molar mass
The molar mass of H₂O = (2 x1 ) +(16) = 18 g/mol
moles is therefore = 162.98 g÷ 18 g/mol =9.054 moles
Step 3: use the mole ratio to determine the moles of KCl
KCl: H₂O is 1:1 therefore the moles of KCl is also = 9.054 moles
Step 4: find the theoretical mass of KCl
mass = moles x molar mass
from periodic table the molar mass of KCl = 39 +35.5 =74.5 g/mol
mass = 9.054 moles x 74.5 g/mol =674.5 g
Theoretical mass is therefore = 9.35 g/ 674.5 g x 100 = 1.386%
Answer:
Final temperature is 83.236 °C.
Explanation:
Let final temperature to be 'T'
There is a theorem :
ΔQ = m·s·ΔT
ΔQ : Heat exchange = -1300 J (<em>it is negative because heat is released</em>)
m : mass which exchanges heat = 40 grams
s : specific heat capacity of water = 4.186 J/grams °C = 1 Calories/grams °C
ΔT : Change in temperature = T - 91°
-1300 = 40 × 4.186 × (T-91)



Slower should be the answer for this