Pressure and volume changes at a constant temperature can be calculated using
a. Boyle's law. c. Kelvin's law.
b. Charles's law. d. Dalton's law.
Solution
In Boyle’s law, the gas is assumed to be ideal gas and at constant temperature. With these two conditions fixed, Boyle’s established that volume of gas varies inversely with the absolute pressure.
The basic mathematical representation of this phenomenon is as follows -
OR
Where P is the pressure of ideal gas, V is the volume and k is the constant of proportionality.
Part a
Answer:
Absolute pressure (P) = atmospheric pressure + pressure due to weight of fluid above it .
g is acceleration due to gravity
h is height of the water column above it =2.02 m
is density of water
is atmospheric pressure = 0.709 atm.
Substitute the values:
Because:
Hence, absolute pressure at the bottom is
Part b
Answer: 104.34 Pa
Radius of the pool = 4.73 m
Increase in the absolute pressure at the bottom = Absolute pressure with two people in the pool - Absolute pressure without them = Pressure due to two people
Where M is the combined mass of the person, g is the acceleration of gravity and r is the radius of the pool.