The Ideal Gas Law States That $P V = R T$

question 63

Essay

The ideal gas law states that $P V = R T$ for a fixed amount of gas, called a mole of gas, where P is the pressure (in atmospheres), V is the volume (in cubic meters), T is the temperature (in degrees Kelvin)and R is a positive constant.
A mole of a certain gas is at a temperature of 290° K, a pressure of 1 atmosphere, and a volume of 0.04 m³.
What is $\partial P / \partial T$ for this gas?

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Definitions:

Charles's Law

A principle in physics that states the volume of a gas increases with increasing temperature, provided the pressure is constant.

Inspiratory Reserve Volume

The additional amount of air that can be inhaled after a normal inhalation, increasing lung volume.

Expiratory Reserve Volume

The additional amount of air that can be expelled from the lungs after a normal exhalation.