Question
Review 2.20 mol of gas at temperature of-140 "C fills a 3.50 L containerPar AWhat is the gas pressure? Express your answer with the appropriate units_ValueUnits
Review 2.20 mol of gas at temperature of-140 "C fills a 3.50 L container Par A What is the gas pressure? Express your answer with the appropriate units_ Value Units


Answers
Find the pressure of 3.40 $\mathrm{mol}$ of gas if the gas temperature is $40.0^{\circ} \mathrm{C}$ and the gas volume is 22.4 $\mathrm{L}$
Everyone. This is a problem based on ideal desecration. Previous to an artist. Mhm. Here it is. Given number of moles. Street temperature is minus one from two degrees Celsius. That is 1 53 capitals. Volume is cool later. That is too ill to attend to the par minus three. We take you. So we need to calculate depression. That is an arty by 23. 8.31 temperature 1 53 and bottom is to into tattoo the power minus three. So you will get the pressure to meet, but 0.9 and to the power six basket. Yeah, that So thanks for watching it.
We're gonna do this equation two different times for two different temperatures, one for 25 degree Celsius. And then when we increase, you could get 40 93 Celsius from both cases ever. Interesting thing, but I'll walk through them separately. So for 25 degrees Celsius are we need to convert that into Calvin in order to kill Castle off. So we do. 25 post 3 73 which is 298 Calvin. Well, then take our ideal gas law, which is PV equals energy. And we divide by our key. So you have end number moles by itself. That's PV equals party, which is this right here. Now we just blood things in were given. That is 3.5 team When won't buy that bike that, given two leaders divide that by the great points. You're 821 times temperature t. So everything's gonna cancel E t m. Any team cancel leaders and leaders canceled. Calvin, I'm comin. Cancel. Which did you just moves left? So you multiply the 1st 2 together want by the last two together. And if I talked my bottom and you get 2.86 miles number under the exact same thing. But for temperature we have our 49 degrees Celsius. I need to convert again. Asked me that 2 73 You get 300 when you do Kelvin. So 24 degrees Calvin in Qatar. We're going to use that same equation and equals P v rt and everything that you're plugging in to repeat the same, except for the number of Calvin at the end. So once again, everything's kind of cancel. Multiply that same way by multiplying the two and the denominator and the 21 numerator together before the fighting. And when you have 322 Calvin and instead of 2 98 we have slightly last malls, 0.265 moles told. So just to clarify at 25 degrees Celsius or 298 Calvin were expected to get 0.26 moles. But when we increase the temperature 48 Govan 48 degree Celsius 322 Calvin, we have a slightly lower number of moles of Europe went to 65
So we're using the ideal gas law. PV equals nrt soapy become an RD over TV. So volume is to later on to literally students gentler minus three Metal cube. So that's how the pressure comes out to be. 1.9 times $10.6 passable.
For this question, we will be using p times V equal to N times aren't times t which is an equation for ideal gas Eso we want to find pressure. I'm going toe isolate pressure on the left side piece sickle to end Times are times t divided by V So, uh, to solve this question, we first need to convert temperature to kill in temperature. So temperature is 273 0.15 miners 150 and that will give us 100 and 23 point 50 killed when and then for V We want to convert this to a meter cubed so are a volume physical to 0.2 meter cubed. So now I can find pressure Pressure is a culture in that is 3.5 times are that is 8.314 times uh, temperature that we found is 123 point 15 and this is divided by 0.2 and this will give us one point age times 10 to the sixth Pascal