Question

Pressure exerted by a gas is: (a) independent of density of the gas (b) inversely proportional to the density of the gas (c) directly proportional to the square of density of the gas (d) directly proportional to the density of the gas

Name: Problem 27, Chapter 14: Objective Physics for NEET
Uploaded: 2021-09-28T18:21:28-08:00
Duration: 1 min 48 s
Channel: Aja S
Description: Pressure exerted by a gas is: (a) independent of density of the gas (b) inversely proportional to the density of the gas (c) directly proportional to the square of density of the gas (d) directly proportional to the density of the gas

   Pressure exerted by a gas is:
(a) independent of density of the gas
(b) inversely proportional to the density of the gas
(c) directly proportional to the square of density of the gas
(d) directly proportional to the density of the gas

Objective Physics for NEET

Abhay Kumar 1st Edition

Chapter 14, Problem 27

Instant Answer

Solved by Expert Aja S

09/28/2021

Step 1

Step 1: We know that for an ideal gas, the equation of state is given by $PV = nRT$, where $P$ is the pressure, $V$ is the volume, $n$ is the number of moles, $R$ is the gas constant, and $T$ is the temperature. Show more…

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Pressure exerted by a gas is: (a) independent of density of the gas (b) inversely proportional to the density of the gas (c) directly proportional to the square of density of the gas (d) directly proportional to the density of the gas

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Key Concepts

Direct Proportionality

This concept refers to a linear relationship where a change in one quantity results in a proportional change in another. In the context of gases, when temperature and mole numbers are held constant, the pressure increases directly in proportion to the density, meaning that if density doubles, the pressure also doubles.

Density

Density is defined as mass per unit volume and is a key factor in determining the physical behavior of gases. It directly affects the pressure exerted by a gas, as increased mass in a given volume leads to more frequent molecular collisions and hence greater pressure.

Ideal Gas Law

This law provides the relationship between pressure, volume, temperature, and the number of moles of a gas. It shows that, under constant temperature and composition, pressure is directly proportional to the density of the gas, emphasizing the link between the microscopic properties of gases and their macroscopic behavior.

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