The correct statement is that best describes the relationship between volume of gas and mole is [tex]\boxed{{\text{The volume of gas is directly proportional to amount (moles)of gas }}}[/tex].
Further explanation:
Ideal gas:
An ideal gas contains a large number of randomly moving particles that are supposed to have perfectly elastic collisions among themselves. It is just a theoretical concept, and practically no such gas exists. But gases tend to behave almost ideally at a higher temperature and lower pressure.
The expression for the ideal gas equation of gas is as follows:
[tex]{\text{PV}}={\text{nRT}}[/tex] ...... (1)
Here,
P is the pressure of the gas.
V is the volume of gas.
n denotes the number of moles of gas.
R is the gas constant.
T is the temperature of gas.
Rearrange equation (1) for V and we get,
[tex]{\text{V}}=\dfrac{{{\text{nRT}}}}{{\text{P}}}[/tex] ...... (2)
When the pressure (P) and temperature (T) of gas are constant and gas constant is also a consant. So the equation (2) can be modified so that all the constant can be replaced by K.
Substitute K for [tex]\dfrac{{{\text{RT}}}}{{\text{P}}}[/tex] in equation (2) and we get,
[tex]{\text{V}}={\text{nK}}[/tex] ...... (3)
As K is constant in equation (3) it can also be written as:
[tex]{\text{V}}\propto{\text{n}}[/tex] ...... (4)
According to equation (4), volume of gas is directly proportional to number of moles of gas at constant temperature and pressure.
Avogadro’s law:
Avogadro’s law is an experimental gas law that relates the volume of gas and number of moles of gas. It states that volume of an ideal gas is directly proportional to number of moles of an ideal gas at constant temperature and pressure.
The given plot also shows that volume of gas and number of moles at constant temperature and pressure is straight line. Therefore volume of gas increases with increase in number of moles of gas.
Hence, the correct statement is the volume of gas is directly proportional to amount (moles) of gas.
Learn more:
1. How many moles of nitrogen are present: https://brainly.com/question/2385746.
2.Calculate number of moles of Cl atom: https://brainly.com/question/1537871.
Answer details:
Grade: Senior School
Subject: Chemistry
Chapter: Ideal gas equation
Keywords: ideal gas, pressure, volume, absolute temperature, equation of state, hypothetical, universal gas constant, moles of gas, initial, final, P, R, T, V, n.
