What is the significance of the volume 22.4
Its value depends on the units used to express pressure and volume. Table 6. The ideal gas law is used like any other gas law, with attention paid to the units and making sure that temperature is expressed in kelvins. However, the ideal gas law does not require a change in the conditions of a gas sample.
The ideal gas law implies that if you know any three of the physical properties of a gas, you can calculate the fourth property. What is its volume? The atm unit is in the numerator of both sides, so it cancels.
On the right side of the equation, the mol and K units appear in the numerator and the denominator, so they cancel as well. The only unit remaining is L, which is the unit of volume we are looking for.
We isolate the volume variable by dividing both sides of the equation by 1. At a given temperature, 0. What is its temperature? We are not given the number of moles of Hg directly, but we are given a mass. We can use the molar mass of Hg to convert to the number of moles. Pressure is given in units of millimeters of mercury. We can either convert this to atmospheres or use the value of the ideal gas constant that includes the mmHg unit.
We will take the second option. Substituting into the ideal gas law,. The mmHg, L, and mol units cancel, leaving the K unit, the unit of temperature. Isolating T all by itself on one side, we get. For a 0. The ideal gas law can also be used in stoichiometry problems. What volume of H 2 is produced at K and 1. Here we have a stoichiometry problem where we need to find the number of moles of H 2 produced. Then we can use the ideal gas law, with the given temperature and pressure, to determine the volume of gas produced.
First, the number of moles of H 2 is calculated:. Now that we know the number of moles of gas, we can use the ideal gas law to determine the volume, given the other conditions:. What pressure of HCl is generated if 3. It should be obvious by now that some physical properties of gases depend strongly on the conditions. What we need is a set of standard conditions so that properties of gases can be properly compared to each other.
Standard temperature and pressure STP is defined as exactly kPa of pressure 0. For simplicity, we will use 1 atm as standard pressure. Defining STP allows us to compare more directly the properties of gases that differ from each other. One property shared among gases is a molar volume. The molar volume is the volume of 1 mol of a gas. At STP, the molar volume of a gas can be easily determined by using the ideal gas law:.
All the units cancel except for L, the unit of volume. Note that we have not specified the identity of the gas; we have specified only that the pressure is 1 atm and the temperature is K. This makes for a very useful approximation: any gas at STP has a volume of This molar volume makes a useful conversion factor in stoichiometry problems if the conditions are at STP.
If the conditions are not at STP, a molar volume of However, if the conditions are not at STP, the combined gas law can be used to calculate the volume of the gas at STP; then the A mole of gas at STP occupies We hope, this article, Molar Volume of Gases — If so, give us a like in the sidebar. Main purpose of this website is to help the public to learn some interesting and important information about thermal engineering.
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