The isothermal bulk modulus of a perfect gas at a normal...

The isothermal bulk modulus of a perfect gas at a normal Pressure is (A) $1.013 \times 10^{6}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$ (B) $1.013 \times 10^{-10}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$ (C) $1.013 \times 10^{5}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$ (D) $1.013 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$

The isothermal bulk modulus of a perfect gas at a normal Pressure is
(A) $1.013 \times 10^{6}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(B) $1.013 \times 10^{-10}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(C) $1.013 \times 10^{5}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(D) $1.013 \times 10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$

Key Concepts

Bulk Modulus

The bulk modulus measures a material's resistance to uniform compression and is defined as the ratio of a change in pressure to the corresponding relative change in volume. It is a key concept in understanding how different substances respond to applied forces that compress them.

Isothermal Process

An isothermal process is one in which the temperature remains constant throughout. For substances like a perfect gas undergoing compression or expansion at constant temperature, this process ensures that the internal energy change is minimal, affecting the material's bulk properties.

Ideal (Perfect) Gas

A perfect or ideal gas is an idealized model in which the gas particles are assumed to have no interactions other than elastic collisions. This simplification allows for easier analysis of gas behavior and the derivation of relationships such as the direct proportionality between pressure and the bulk modulus under isothermal conditions.

Ideal Gas Law

The ideal gas law (pV = nRT) is a fundamental relation in thermodynamics that links pressure, volume, and temperature of an ideal gas. It forms the basis for understanding gas behavior and is used to derive various thermodynamic properties under different process conditions.

Normal Pressure

Normal pressure typically refers to standard atmospheric pressure, which is about 1.013 × 10^5 N/m² (Pascals) at sea level. This reference value is commonly used in calculations involving thermodynamic properties of gases under typical environmental conditions.

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