You are adding moles of an ideal gas to a closed system. The initial temperature

Question

You are adding moles of an ideal gas to a closed system. The initial temperature is 23.1 plusminus 0.05 0C and the volume of your system is 1.2 plusminus 0.01 L. Your initial pressure reading is 300.4 0.plusminus05 torr. Your final pressure reading is 320.6 plusminus 0.05 torr and the temperature is 23.2 plusminus0.05 0C when you take this final pressure reading. (a) Calculate how many moles of the ideal gas you added to the system. (b) Calculate the uncertainty in the number of moles you added. You can assume small uncertainties in your independent variables. (c) Report your final Deltan with correct significant figures and error.

Explanation / Answer

Solution:

a) by using PV=nRT (ideal gas law) the moles used in the system can be calculated,

n = PV/RT = (0.39 atm)(1.2) / (8.314)(296)

n = 1.9 E-4 moles

b) by uncertainity the hnumber of moles added n = 1.9 E-4 (+/-) 0.03

c) del n = (1.94 E-4 - 1.9 e-4) = 0.01 E-4

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