c) A formula weight (FW) of a gas can be determined using the following form of

Question

c) A formula weight (FW) of a gas can be determined using the following form of the ideal gas law gRT PV Where g is the mass in grams, R is the gas constant, T is the temperature in kelvin (K), P is the pressure in atmospheres and V is the volume in liters. In a typical analysis, the following data (Table 1) are obtained (with estimated uncertainties in parentheses). Table 1: Analyzed data for formula weight. Analyzed Data 0118(0002) 0.082056 (±0.000001) 298.2 (±0.1) 0.724 (±0.005) 0.250 (±0.005) Parameters R. i) Determine the compound's formula weight and its estimated uncertainty? (8 Marks) i) Identify Two (2) variables that should you direct your attention if you wish to improve the uncertainty in the compound's molecular weight. (7 Marks)

Explanation / Answer

FW = gRT/PV

=(0.118 × 0.082056 × 298.2)/(0.724 × 0.250)

=15.95223

uncertainty = +-(1.6849 + 0.0122 + 0.0335 + 0.6906 + 2.000)%

=+- 4.4212%

Fw =15.95223 + - 4.42% = 15.95223 +- 0.7050

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