# What is the pressure of nitrogen when cooled to -5oC?

• ar202
In summary, the relationship between temperature and pressure is described by Charles's Law, where an increase in temperature leads to an increase in pressure and vice versa. Changing pressure can affect temperature through increased molecular collisions or by indirectly impacting boiling and freezing points. The ideal gas law, PV = nRT, is a fundamental equation that describes the relationship between pressure, volume, temperature, and the amount of gas present. In a closed container, temperature and pressure have a direct relationship, with an increase in pressure leading to an increase in temperature. The Combined Gas Law combines Charles's Law, Boyle's Law, and Gay-Lussac's Law and states that at a constant amount of gas, pressure and volume are inversely proportional, while pressure and temperature are
ar202

## Homework Statement

A cylinder of nitrogen is pressurised to 200 BAR at 25oC
The cylinder is left to cool outside on a winters day to –5oC

What is the pressure of the Nitrogen once it has cooled?

P1/T1=P2/T2 ?

## The Attempt at a Solution

25+273 = 298 Kelvin. 273-5=268 Kelvin.

200/298=0.6711409396

0.6711409396 x 268 = 179 BAR ?

Have i used the relevant equation? Going through some practice questions but can't find the solutions. doh.

cheers

You would normally just do
200 * 268/298 = 180Bar

Yes you are correct.

## 1. What is the relationship between temperature and pressure?

The relationship between temperature and pressure is described by Charles's Law, which states that at a constant volume, the pressure of a gas is directly proportional to its temperature. This means that as temperature increases, so does pressure, and vice versa.

## 2. How does changing pressure affect temperature?

Changing pressure can affect temperature in two ways. First, as pressure increases, the molecules in a gas are forced closer together, leading to an increase in temperature due to increased molecular collisions. Second, changing pressure can also affect the boiling and freezing points of a substance, which can indirectly impact its temperature.

## 3. What is the ideal gas law?

The ideal gas law is a fundamental equation in thermodynamics that describes the relationship between pressure, volume, temperature, and the amount of gas present. It is represented by the equation PV = nRT, where P is pressure, V is volume, n is the number of moles of gas, R is the gas constant, and T is temperature.

## 4. How does temperature affect pressure in a closed container?

In a closed container, the temperature of a gas will increase as pressure increases, and decrease as pressure decreases. This is because as the gas molecules are heated, they move faster and collide with the walls of the container more frequently, leading to an increase in pressure.

## 5. What is the relationship between temperature, pressure, and volume?

The relationship between temperature, pressure, and volume is described by the Combined Gas Law, which combines Charles's Law, Boyle's Law, and Gay-Lussac's Law into one equation. It states that at a constant amount of gas, the pressure and volume are inversely proportional, while the pressure and temperature are directly proportional.

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