The product of the pressure and volume of an ideal gas 1 s (A) A constant (B) Directly proporti

Name: Problem 1229, Chapter 9: JEE Physics
Uploaded: 2021-10-01T08:19:48-08:00
Duration: 1 min 1 s
Channel: Narayan Hari
Description: The product of the pressure and volume of an ideal gas 1 s (A) A constant (B) Directly proportional to its temperature. (C) Inversely proportional to its temperature. (D) Approx. equal to the universal gas constant.

step 1 As we know that PV is equal to NRT. So, the value of PV is proportional to T, that is, product o

Question

The product of the pressure and volume of an ideal gas $1 \mathrm{~s}$ (A) A constant (B) Directly proportional to its temperature. (C) Inversely proportional to its temperature. (D) Approx. equal to the universal gas constant.

   The product of the pressure and volume of an ideal gas $1 \mathrm{~s}$
(A) A constant
(B) Directly proportional to its temperature.
(C) Inversely proportional to its temperature.
(D) Approx. equal to the universal gas constant.

JEE Physics

StemEZ 1st Edition

Chapter 9, Problem 1229

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Solved by Expert Narayan Hari

10/01/2021

Step 1

Step 1: We start with the ideal gas law, which is given by: \[PV = nRT\] where: - $P$ is the pressure of the gas, - $V$ is the volume of the gas, - $n$ is the number of moles of the gas, - $R$ is the universal gas constant, and - $T$ is the temperature Show more…

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The product of the pressure and volume of an ideal gas $1 \mathrm{~s}$ (A) A constant (B) Directly proportional to its temperature. (C) Inversely proportional to its temperature. (D) Approx. equal to the universal gas constant.

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Key Concepts

Temperature

Temperature, measured in Kelvin in thermodynamic calculations, represents the average kinetic energy of the gas molecules. In the ideal gas law, it is a critical variable as it directly determines the product of pressure and volume for a fixed amount of gas.

Direct Proportionality

Direct proportionality describes the relationship between two variables where an increase in one leads to a proportional increase in the other. In the context of the ideal gas law, if the number of moles and the gas constant are held constant, the product of pressure and volume is directly proportional to the absolute temperature.

Ideal Gas Law

The ideal gas law is a fundamental relationship in thermodynamics that relates the pressure, volume, absolute temperature, and amount of gas (in moles) through the equation PV = nRT. It serves as the basis for understanding the behavior of gases under idealized conditions, where interactions between gas molecules are negligible.

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