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A sample of a gas at 77°C and 1. 33 atm occupies a volume of 50. 3 L. How many moles of the gas are present?

User Jqno
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Hi there in this question, we have information about temperature, pressure and volume of a gas and we want to know how many moles are present. So this looks like an ideal gas law problem where we can use the ideal gas law equation to solve the ideal gas law equation is PV equals NRT. We are interested in isolating end by itself. So I am going to divide both sides of this equation by RT So that will give us the equation and is equal to PV over R. T. Okay, let's pull the information out of the problem. We have a pressure, It is 1.33 atmospheres volume We're told is 50.3 l Universal gas constant we want to use is the one that has atmospheres in it so that we don't have to convert our pressure so that 0.0 8-1 leaders times atmospheres over my old helmet. So this is a constant. So you should be able to look this up in your book or in your resources to get the value of our notice. It has some really bizarre units since it is a constant and then temperature. The temperature we are given Is 77°C. For any gas law problem, Temperature has to be in Kelvin. So to convert C to Kelvin, we add 273 And this gives us the Kelvin temperature of 350. Yeah. All right. So, we have everything we need we just need to plug those into the equation and solve the problem. So the pressure Is 1.33 atmospheres. The volume is 50.3 L. Notice all these values have three significant digits. So when we do get our answer, We're going to round that to three significant digits on a second. I lost my unit here. 50.3 Leaders. All right. R is 0.08-1 Leaders Times atmospheres over mole kelvin And temperatures 350 Calvin. Okay. At this point it just becomes a calculator problem. Let's check our units though. Make sure things cancel as they should. Atmospheres will cancel. Leaders will cancel. Kelvin will cancel and we have mold in the denominator of the denominator, which means that it will end up being in the numerator for our answer. So calculating our answer round into three significant digits Gives us two point 33 moles of the gas and as I rounded to the three significant digits and this is our answer. And this was part hey of course part B wants to know do we need to know what the gasses and the answer to that is no. It does not depend on the gas because of a Gaudreau said that equal volumes of gasses at the same temperature and pressure or equal amounts of gasses rather at the same temperature and pressure occupy the same volume. So regardless of what gas this is the temperature and pressure remains constant. So the number of moles, he's going to be constant. So the identity of the gas does not matter.

User Meeh
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