# Ideal Gas Law: Solve 1.0x10-6 mmHg @ 40°C

• G4PHYSICS
In summary, the question is about determining the number of molecules in 1.00cm3 of gas at a pressure of 1.0x10-6 mm of Hg and a temperature of 40.0 C. The ideal gas equation (pv=nrt) can be used to solve this problem. However, the temperature must be converted to Kelvin and the volume must be converted to m^3 for accurate results.
G4PHYSICS

## Homework Statement

Current vacuum technology can achieve a pressure of 1.0x10-6 mm of Hg. At this pressure, and at a temperature of 40.0 C, how many molecules are in 1.00cm3 ?

2. Homework Equations [/b

pv=nrt

## The Attempt at a Solution

i solved it using the ideal gas equation and got a very large n value,after converting from mmHg to Pa? would that be the correct procedure?

quick few hints to doing this if your getting odd answers. a) temp needs to be converted to kelvin and b) the 1cm^3 needs to be correctly converted into m^3

## 1. What is the Ideal Gas Law?

The Ideal Gas Law is a mathematical equation that describes the relationship between pressure, volume, temperature, and number of moles of an ideal gas. It is expressed as PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature.

## 2. What does the "1.0x10-6 mmHg" represent in the given problem?

The "1.0x10-6 mmHg" represents the pressure (P) in the Ideal Gas Law equation. It is measured in millimeters of mercury (mmHg) and is a unit commonly used to measure pressure.

## 3. What is the significance of the units used in the Ideal Gas Law equation?

The units used in the Ideal Gas Law equation are important because they represent the physical quantities being measured. P is measured in pressure units (such as mmHg), V is measured in volume units (such as liters), n is measured in moles, R is measured in an appropriate gas constant unit, and T is measured in temperature units (such as Kelvin).

## 4. How do you solve for the unknown variable in the Ideal Gas Law equation?

To solve for the unknown variable in the Ideal Gas Law equation, you must rearrange the equation to isolate the variable you are solving for. For example, if you are trying to solve for volume (V), you would rearrange the equation to V = nRT/P, and then plug in the known values for pressure, moles, gas constant, and temperature.

## 5. How does temperature affect the pressure of an ideal gas?

According to the Ideal Gas Law, as temperature increases, pressure also increases, assuming all other variables remain constant. This is because the average kinetic energy of gas molecules increases with temperature, causing them to collide with the walls of their container more frequently and with greater force, resulting in an increase in pressure.

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