How does the ideal gas law confirm the laws of Boyle and Charles?

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How does the ideal gas law confirm the laws of Boyle and Charles?

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Md Ariful Islam · Answer 1 · Apr 02, 2024 09:48:30

The encompasses all the simple gas law:

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This means that we can derive any simple gas law starting from the . Let's try and see if we can formulate first.

According to Boyle's law, an inverse proportional relationship exists between a gas' pressure and its volume IF the amount of gas (the number of ) and the temperature are kept constant. Starting from the ideal gas law expression $PV = nRT$, let's define two states for a gas at which

$P_1V_1 = n_1RT_1$ (1) and $P_2V_2 = nRT_2$ (2).

If $n_1 = n_2 = n$ and $T_1 = T_2 = T$, we'd get

$P_1V_1 = nRT = P_2V_2 -> P_1V_1 = P_2V_2$ - this represents the mathematical expression of Boyle's law;

states that a direct proportional relationship exists between a gas' volume and its temperature (in Kelvin) IF the amount of gas and the pressure are held constant.

Using the same (1) and (2) equations,but this time making sure that $n_1 = n_2 = n$ and $P_1 = P_2 = P$, we'd get

$V_1/T_1 = (nR)/P = V_2/T_2 -> V_1/T_1 = V_2/T_2$ - the mathematical expression for Charles' law.

Therefore, one could say that the ideal gas las confirms Boyle and Charles' laws, since both of these laws can be derived from it under specific conditions.

How does the ideal gas law confirm the laws of Boyle and Charles?

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