Answer:
Part A
Boyle's Law is given mathematically as
P ∝(1/V) or V ∝(1/P)
Options 4 and 5, if they are properly written.
Part B
At constant temperature, and according to the Boyle's law for an ideal gas,
A. What can cause a Volume increase is a corresponding decrease in pressure.
B. What can cause a Volume decrease is a corresponding increase in pressure.
C. The Volume is unchanged if the pressure of the gas is unchanged too.
Part C
The pressure when the gas occupies a volume of 5.0 L = 40 atm
Part D
The pressure when the gas occupies a volume of 4.5 L = 36 atm
Explanation:
Part A
Boyle's Law states that at constant temperature, the pressure of an ideal gas is inversely proportional to the volume occupied by the gas.
So, mathematically, Boyle's Law is given as
P ∝(1/V) or V ∝(1/P)
Part B
Inverse relationship between two quantities means that the higher the value of one of the quantities go, the lower the value of the other quantity goes and vice versa.
So, at constant temperature, and according to the Boyle's law for an ideal gas.
A. What can cause a Volume increase is a corresponding decrease in pressure.
B. What can cause a Volume decrease is a corresponding increase in pressure.
C. The Volume is unchanged if the pressure of the gas is unchanged too.
Part C
A certain gas occupies a volume of 20 L when the applied pressure is 10 atm, find the pressure when the gas occupies a volume of 5.0 L.
According to Boyle's Law for an ideal gas,
P ∝(1/V)
P = (k/V)
where k is the constant of proportionality
PV = k
Therefore,
P₁V₁ = P₂V₂ = k
P₁ = 10 atm
V₁ = 20 L
P₂ = ?
V₂ = 5.0 L
10 × 20 = P₂ × 5
P₂ = 40 atm
Part D
If a certain gas occupies a volume of 18 L when the applied pressure is 9.0 atm , find the pressure when the gas occupies a volume of 4.5 L
P₁V₁ = P₂V₂ = k
P₁ = 9.0 atm
V₁ = 18 L
P₂ = ?
V₂ = 4.5 L
9 × 18 = P₂ × 4.5
P₂ = 36 atm
Hope this Helps!!!
