Question

Among the following, the intensive property is/are:
This question has multiple correct options.
A: Molar conductivity
B: Electromotive force
C: Resistance
D: Heat capacity

Answer 1

Hint: An intensive property is that property which doesn’t depend on the system size or the mass contained in the system. It is the same for any mass or size of the system. It is a local physical property of the system.

Complete step by step answer:In this question we have to choose the quantities that are intensive. Intensive properties are those which don’t depend on the size of the system or the mass taken. It is a physical property of the system.
Conductivity is the measure of ease with which electric charge or heat can pass through a material. It is reciprocal of resistivity. Resistivity is the fundamental property of a material. Molar conductivity of the solution of an electrolyte is calculated by dividing conductivity with molar concentration of the solution.
Formula to calculate molar conductivity is:
Molar conductivity$ = \dfrac{{\rm K}}{c}$ where ${\rm K}$ is conductivity and $c$ is molar concentration of the solution.
Molar conductivity doesn’t depend on the mass of the substance taken as to calculate this concentration is fixed, that is one molar. This means it is an intensive property and it is among one of the answers to the question.
Electromotive force is the sum of the electric potential differences which is produced by separation of charges that can occur at phase boundary of a cell. To calculate ratio of concentration is used. But it will change accordingly with the concentration of one cell and as a whole it will remain constant. So, electromotive force is intensive property and among one of the answers.
Resistance is the restriction offered to the flow of charge. It is an extensive property as it depends on length and area of the material.
Resistance$ = \rho lA$
Where $\rho $ is resistivity, $l$ is length and $A$ is cross-sectional area
 This further depends on volume and mass.
Resistance$ = \rho V = \rho \dfrac{m}{d}$
Where $V$ is volume, $m$ is mass and $d$ is density.
 So, resistance is not an intensive property.
Heat capacity is defined as the amount of energy that is required to change the temperature of given mass by ${1^ \circ }C$. More will be the amount of substance more will be the heat required. This means it depends on the mass of the substance and it is not an intensive property.
This means among given options only electromotive force and molar conductivity is intensive property.

So, the correct answer is option A and B.

Note:
Extensive properties are opposite to intensive properties. Extensive properties are those which depend on the mass and concentration of the substance taken. Among given options resistance and heat capacity were extensive properties.