Answer: The approximate pressure when the volume is increased to 12 liters is 41 cm Hg
Step-by-step explanation:
As stated in the question, Boyle's law states that for a fixed amount of gas, the volume of the gas at a constant temperature is inversely proportional to the pressure. It could also be stated as "the pressure of a given mass of an ideal gas is inversely proportional to its volume at a constant temperature"
Mathematically, P ∝ (1/V)
This means that,
the pressure of a gas tends to increase as the volume of the container decreases, and also the pressure of a gas tends to decrease as the volume of the container increases.
From the Mathematical expression, P ∝ (1/V).
Hence, P = k(1/V)
Where P is the pressure, V is the volume and k is the proportionality constant
Therefore,
PV = k
We can then write that
P1V1 = P2V2 = P3V3 = ...
Hence, P1V1 = P2V2
Where P1 is the initial pressure of the gas
P2 is the final pressure of the gas
V1 is the initial volume of the gas
and V2 is the final volume of the gas
From the question,
P1 = 50 cm Hg
V1 = 9.84 liters (L)
P2 = ??
V2 = 12 liters (L)
Using the equation, P1V1 = P2V2
50 × 9.84 = P2 × 12
Therefore, P2 = (50 × 9.84)/12
P2 = 492/12
P2 = 41 cm Hg
Hence, the approximate pressure is 41 cm Hg
