Question

$PV = nRT$ is the equation for :
A. Boyle's law
B. Charle's law
C. Ideal gas equation
D. Dalton's law of partial pressure

Answer 1

Hint: The given equation is a relation between P , V , R , T and n . Hence we have to find an equation which gives the relation between pressure , volume and temperature .

Complete step by step answer:
Let us first understand what do the laws given in the question state :
Boyle's law - Boyle's law states that the temperature remaining constant the volume of a given mass of a gas is inversely proportional to its pressure .
${P_1}{V_1} = {P_2}{V_2}$
Charle's law - Charle's law states that pressure remaining constant the volume of a given mass of a gas increases or decreases by $1/273$ of its volume at ${0^ \circ }C$ for every one degree centigrade rise or fall in temperature .
$\dfrac{{{V_1}}}{{{T_1}}} = \dfrac{{{V_2}}}{{{T_2}}}$
Ideal gas equation - The equation which gives the simultaneous effect of pressure and temperature on the volume of a gas is known as ideal gas equation or equation of state for an ideal gas .
$PV = nRT$
Dalton's law of partial pressure - It states that if two or more gases which do not react chemically are enclosed in a vessel, the total pressure exerted by the gaseous mixture is equal to the sum of all the partial pressure that each gas would exert when present alone in the same vessel at the same temperature.
$P = {p_1} + {p_2} + {p_3} + ......$
where , P = pressure , V = volume , T= temperature , n = number of moles , R = universal gas constant and p = partial pressure .

So, the correct answer is Option C.

Note:
R is a constant of proportionality and is found to be independent of the nature of the gas and depends only on the amount of the gas taken. For 1 mole of any gas , the value of R is the same .Hence , it is called the universal gas constant .