A sample of NO2 gas in a 575-mL container at a pressure of 1.25 atm and a temperature of 125^∘ C

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A sample of NO2 gas in a 575-mL container at a pressure of...

A sample of $\mathrm{NO}_2$ gas in a $575-\mathrm{mL}$ container at a pressure of 1.25 atm and a temperature of $125^{\circ} \mathrm{C}$ is transferred to a new container with a volume of 825 mL . a. What is the new pressure, in atmospheres, if no change in temperature occurs? b. What is the new temperature, in degrees Celsius, if no change in pressure occurs? c. What is the new temperature, in degrees Celsius, if the pressure is increased to 2.50 atm ?

Key Concepts

Ideal Gas Law

The ideal gas law (PV = nRT) is a fundamental equation that relates the pressure, volume, temperature, and amount of an ideal gas. It provides a framework for predicting how a gas will respond to changes in one variable when the others are altered, making it a cornerstone concept in understanding gas behavior under different conditions.

Boyle's Law

Boyle's law states that for a given mass of gas at constant temperature, the pressure of the gas is inversely proportional to its volume (P?V? = P?V?). This law is used to understand how changes in volume affect the pressure when the temperature remains fixed, and it is particularly useful in scenarios involving isothermal processes.

Charles's Law

Charles's law describes how, at constant pressure, the volume of a gas is directly proportional to its temperature (in Kelvin). This relationship indicates that increasing the temperature will result in an increased volume, and vice versa, provided the pressure is maintained, and is central to understanding thermal expansion in gases.

Temperature Conversion

Converting between Celsius and Kelvin is vital when working with gas laws, as these laws require temperature in an absolute scale (Kelvin) to accurately relate temperature to pressure and volume. This conversion is achieved by adding 273.15 to the Celsius temperature, ensuring that calculations align with the requirements of the ideal gas law.

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