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Suppose you have 1.0 mol of gas molecules in 22.4 $\mathrm{L}$ at STP. Describe three ways you can get a gas pressure of 0.50 atm.
increase the volume from 22.4 $\mathrm{L}$ to 44.8 $\mathrm{L}$
Chemistry 101
Chapter 12
Concentrating Matter
Section 3
Ideal Gas Law
Intro to Chemistry
Atoms, Molecules and Ions
Carleton College
Drexel University
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so in problem seven we used the concept off the ideal gas equation, which is equal toe PV physical tow n rt, which is known as the ideal gasification. So in this question, we find out three ways that our guests pressure is 0.50 8 p.m. And we have given the volume that is 22.4 later and one mole at STP condition. So basically, the STP condition is this standard temperature and pressure condition in which the pressure is 18 p. M. And the temperature is zero degrees Celsius or 2 73 Kelvin. So the three ways that we can find we can get up. Gas pressure is 0.508 p. M. So So from this idol, guess equation be physical to energy. So we can use P because we find out the pressure p so into 22.4, then zero point five moles on and this is 0.8 to 1, which is value off our and temperature is 2 73 Kelvin. So on solving we get a pressure is 0.508 p. M. So this is one way The another way is that pressure in tow continue to 0.4 later one into one more into 0.8 to 1 into 1 37 Calvin that men would use a temperature is 1 37 Calvin in this case, so we get a pressure is equal to 0.508 p. M. And in the third case, pressure into volume is 44.8 and number off Molly's one in 20.8 to 1 in 2 to 73 Calvin. So we get a pressure. It's 0.50 PM in this case also, so that means there is the three ways that we can use. So first is reduced the number off particles to 0.5. Reduce the number off particles so 0.5 mall. So this is first way and second is reduced. The temperature produced the temperature toe 1 37 Calvin and the third ways increase The volume to 44.8 later increased the volume to 44.8 later. So these are the three weeks from which we get the pressure off. 0.508 p. M. which is asked the question. So that means when we use number off Molly 0.5, then Second case in the second case temperature we can use is 1 37 Calvin. And in the third case, volume is used 44.8 later. So from all these case, we get up. Pressure is 0.508 p. M. So this is the case. One. This is the case number two, and this is the case number three.
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