What must be the new volume of a sample of nitrogen (in L) if 2.68 L at 745 torr and 24.0 ^∘ C

step 1 Hi there. This is problem number 53, in which we see pressure, volume, and temperature all chang

What must be the new volume of a sample of nitrogen (in L)...

What must be the new volume of a sample of nitrogen (in
L) if $2.68 \mathrm{~L}$ at 745 torr and $24.0{ }^{\circ} \mathrm{C}$ is heated to $375.0^{\circ} \mathrm{C}$ under conditions that let the pressure change to 765 torr?

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Key Concepts

Ideal Gas Law

The ideal gas law, expressed as PV = nRT, relates the pressure, volume, and temperature of a gas to the number of moles present. It is a fundamental equation in understanding and predicting the behavior of gases under various conditions.

Combined Gas Law

The combined gas law, written as P1V1/T1 = P2V2/T2, is used to relate the initial and final states of a gas when the pressure, volume, and temperature change, provided the number of moles of gas remains constant. This law is particularly useful for solving problems where multiple conditions are altered simultaneously.

Pressure-Volume Relationship

This concept refers to how changes in the pressure of a gas affect its volume (and vice versa) when the temperature is held constant, as described by Boyle's Law. Understanding this relationship is crucial for predicting how a gas will respond when compressed or expanded.

Temperature-Volume Relationship

This concept, based on Charles's Law, explains that the volume of a gas is directly proportional to its absolute temperature when pressure is constant. This relationship is important for understanding how heating or cooling a gas affects its volume.

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