Question

\[PV = nRT\] is the equation for:
A.Boyle’s law
B.Charles's law
C.Ideal gas equation
D.Combined gas law
E.Dalton’s law of partial pressure

Answer 1

Hint: An ideal gas is defined by collision between atoms or molecules that are perfectly elastic and no intermolecular attractive forces. In such gas, internal energy is in the form of kinetic energy and any change in internal energy is accompanied by a change in temperature.

Complete step by step answer:
Ideal gas molecules do not attract or repel each other. Ideal gas molecules themselves take up no volume. The pressure P, volume V, and temperature T of an ideal gas are related by a simple formula called ideal gas law. This equation provides a valuable relationship between volume, pressure, temperature.
The three individual expressions were derived from the relation between P, n, T and V.
Boyle’s law
Charle’s law
Avogadro’s law
But combination of these three laws forms an ideal gas equation, which is given as below:
           \[PV = nRT\]
Where, P=pressure
               V=volume
               n= amount of substance
               R=ideal gas constant
               T=temperature
The value of ideal gas constant is 8.314 $\dfrac{J}{{K.mol}}$

Hence, the correct answer is option (C).

Note:
Generally, gas behaves like an ideal gas at the higher temperature and lower pressure. The potential energy in ideal gases due to intermolecular forces becomes less significant compared with the particles kinetic energy and less significant compared with the empty space between them. An ideal gas consists of a large number of identificatical molecules.