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G4PHYSICS
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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 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.
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.
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).
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.
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.