A 6.53g of solid CO2 is put in an empty sealed 7.00 L container at a temperature of 310 K. When all the solid CO2 becomes gas, what will be the pressure in the container? express in 3 decimal places
The kinetic theory of gases says that a gas is made up of many molecules that are very small compared to the distance between them. The gas molecules constantly move around randomly, and they often bump into each other and the walls of any container. The molecules have mass, momentum, and energy, all of which are physical properties. A single molecule's momentum is equal to the product of its mass and speed, while its kinetic energy is equal to one-half of its mass times the square of its speed.
When gas molecules hit the walls of a container, they give the walls momentum and make a force perpendicular to the wall. The pressure is the total force of all the molecules hitting the wall divided by the area of the wall. The average linear momentum of a gas's moving molecules is then a measure of a gas's pressure. The pressure acts in a straight line (regular) to the wall, while the tangential (shear) part of the force depends on how thick the gas is.
Answers & Comments
The Pressure in the container = 0,539 atm
Solution:
1) Determine moles of CO2:
6.53 g / 44.009 g/mol = 0.1483787 mol
2) Use PV = nRT
(P) (7.00 L) = (0.1483787 mol) (0.08206) (310 K)
P = 0,539 atm (to four sig figs)
Pressure at the Molecular Gas
The kinetic theory of gases says that a gas is made up of many molecules that are very small compared to the distance between them. The gas molecules constantly move around randomly, and they often bump into each other and the walls of any container. The molecules have mass, momentum, and energy, all of which are physical properties. A single molecule's momentum is equal to the product of its mass and speed, while its kinetic energy is equal to one-half of its mass times the square of its speed.
When gas molecules hit the walls of a container, they give the walls momentum and make a force perpendicular to the wall. The pressure is the total force of all the molecules hitting the wall divided by the area of the wall. The average linear momentum of a gas's moving molecules is then a measure of a gas's pressure. The pressure acts in a straight line (regular) to the wall, while the tangential (shear) part of the force depends on how thick the gas is.
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