Question

# the relation between the pressure, volume and absolute temperature is given by:A.Boyle’s LawB.Charles LawC.The combined gas lawD.Avogadro’s lawE.None of above

Hint:The law of gas laws which contains terms of pressure(P) ,volume(V), absolute temperature(T) as variables, gives a relation between them.

There are total three gas laws, which are
-Charles’ law: according to this law that the volume of ideal gases changes with the change of absolute temperature proportionally, when pressure of the system is constant throughout the experiment. i.e. the volume to temperature ratio at a constant when pressure is always constant.
$\dfrac{{{V_1}}}{{{T_1}}} = \dfrac{{{V_2}}}{{{T_2}}},{\text{when P, n is constant}}{\text{.}}$
-Boyle’s law: According to this law at a constant temperature, the pressure is applied on an ideal gas is inversely proportional to the volume of that system. i.e., the product of pressure and volume is constant when absolute temperature is constant.
${P_1}{V_1} = {P_2}{V_2}{\text{ when n , T is constant}}$
-Avogadro’s law: According to this law at constant pressure and absolute temperature, the number of molecules is directly proportional with the volume of an ideal gas. i.e. the ratio of volume to number of molecules(n) is constant at constant pressure and absolute temperature.
$\dfrac{{{V_1}}}{{{n_1}}} = \dfrac{{{V_2}}}{{{n_2}}}{\text{ when P and T are constant}}{\text{.}}$
Now if Boyle’s law and Charles law is combined a new gas law equation will generate, which can be written as,
$\dfrac{{{P_1}{V_1}}}{{{T_1}}} = \dfrac{{{P_2}{V_2}}}{{{T_2}}}$
In this relation pressure(P), volume(V), and absolute temperature(T) are variables. Where the product of pressure and volume changes proportionally with absolute temperature.

Therefore, the correct answer is the combined gas law . Option C.

Note:
Remember all of these gas law equations. Boyle’s law states the relationship between pressure and volume of gas. Charles law states the relationship between volume and temperature.