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Label the axes and curve in the following graph illustrating Boyle's Law.

X-axis: Volume (V), Y-axis: Pressure (P), Curve: Inverse relationship at constant temperature.

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Label the axes and curve in the following graph illustrating Boyle's Law.

X-axis: Volume (V), Y-axis: Pressure (P), Curve: Inverse relationship at constant temperature.

Label the axes and curve in the following graph illustrating Charles' Law.

X-axis: Temperature (T), Y-axis: Volume (V), Curve: Direct relationship at constant pressure.

What are the key differences between using $PV=nRT$ and $PV=NkT$ ?

$PV=nRT$ : Uses number of moles (n) and the ideal gas constant (R). | $PV=NkT$ : Uses number of molecules (N) and the Boltzmann constant (k_B).

How do real gases differ from ideal gases?

Ideal Gases: Follow assumptions of negligible volume, no intermolecular forces, elastic collisions. | Real Gases: Deviate at high pressure/low temperature due to significant volume and intermolecular forces.

Compare Boyle's Law and Charles' Law.

Boyle's Law: P and V are inversely related at constant T. | Charles' Law: V and T are directly related at constant P.

What are the key differences between using $PV = nRT$ and $PV = Nk_BT$ ?

$PV = nRT$ : Uses number of moles (n) and the ideal gas constant (R). $PV = Nk_BT$ : Uses number of molecules (N) and Boltzmann constant ( $k_B$ ).

What are the differences between real gases and ideal gases?

Ideal Gases: Follow the ideal gas law perfectly, negligible intermolecular forces, point particles. Real Gases: Deviate from ideal behavior at high pressure/low temperature, significant intermolecular forces, finite particle volume.