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Topic: PV=nRT problem  (Read 4958 times)

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danshodan

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PV=nRT problem
« on: February 14, 2006, 10:23:09 PM »
hello everyone,
i have the following problem:
When a rigid hollow sphere containing 680L of helium gas is heated from 300K to 600K, the pressure of the gas increases to 18 atm. How many moles of helium does the sphere contain?

I know I need to use the formla PV=nRt, which from there I can say n=PV/RT; the problem I am having is how to know which temperature to choose. I went with the 600 as it is the final temp??? not sure bout that, do u need to use both?
I ended up with 18 atmX 680L/ 0.0821 L*atm       600K
                                            ______________  /
                                                   mol*K
and my final answer was 249 mol.
So am i correct, and how do u know which one to choose

Offline AWK

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Re:PV=nRT problem
« Reply #1 on: February 15, 2006, 04:52:24 AM »
You should use the temperature in Kelvins
AWK

Offline arnyk

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Re:PV=nRT problem
« Reply #2 on: February 15, 2006, 03:50:02 PM »
Also depending on what constant *R* you use, pressure is most commonly measured in kPa.

Offline Donaldson Tan

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Re:PV=nRT problem
« Reply #3 on: February 15, 2006, 06:42:04 PM »
since Helium is contained in a rigid container, then volume is constant
PV = nRT => P/T = nR/V = constant

=> P1T2 = P2T1

since pressure is increased by 18atm after heating, then
P2 = P1 + 18

P1(600) = (P1 + 18)(300)
(P1 + 18)/P1 = 600/300 = 2
1 + 18/P1 = 2
P1 = 18atm = 18(1.013E5) Pa = 1.82E6 Pa

since initial pressure is now known, and we know T1, then number of moles of He gas is given as:

n = P1V/R.T1 = (1,82E6)(680E-3)/(8.314)(300) = 730moles
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