MAC2313 Extra-cnedt problem 3 5 points) Score Date n your physics for perhaps ch
ID: 2888634 • Letter: M
Question
MAC2313 Extra-cnedt problem 3 5 points) Score Date n your physics for perhaps chemistry) class you are asked to confirm the vaildity of Perflect Gas Law P-RTIV by measuring the three variables and comparing them to the theoretical value obtained using the formula. A 20-mole gas sample is used and nisbund tat T-303.50 K ±0.01.V-2.301±0.05, ad using a maonw. P-219.48 atm Do an emor analysis using the oifferental to delermine if the measured value ofPx is within an acceptable range ofits teoretical vale ottaned using te Pered Gas La. Dothis by cabaig Pwgte perfect pns rd use the dierential to approximate the emor in P.AP. given the emors in T and V. Report your answer as P t error where P is the value obtained using the formula with the measured values of T and V. Approximate is error he direns In the formula: P-pressucre in atmospheres (atm) V-volume in liters(L) T- temperature in Kelvin (K) n amount of substance in moles L-atm K-mole R ideal gas constant 0.0821 Round your answers to two decimal places. Notes:()Carefu when applying the triangle inequality IA+BIS IAl+IB1 (2) To find the emor, you mneed to Is the measred value ofl P within an acceptable tange?Explanation / Answer
PV=nRT
=>P=nRT/V
n=20,R=0.0821
=>P=20*0.0821T/V
when T=303.50,V=2.30
=>P=20*0.0821*303.50/2.30
=>P=216.6726086956522
P=20*0.0821T/V
PV=-20*0.0821T/V2,PT=20*0.0821/V
dP=PVdV +PTdT
when T=303.50,V=2.30, dV=±0.05,dT=±0.01
dP=|((-20*0.0821*303.50/2.302)*±0.05) +((20*0.0821/2.30)*±0.01)|
dP|((-20*0.0821*303.50/2.302)*±0.05)| +|((20*0.0821/2.30)*0.01)|
dP±((20*0.0821*303.50/2.302)0.05) ±((20*0.0821/2.30)*0.01)
dP±4.717413232514179
P+error = 216.6726086956522±4.717413232514179
P= 216.67 , error =±4.72
216.6726086956522-4.717413232514179<P< 216.6726086956522+4.717413232514179
=>211.96<P<221.39
yes P=219.48 atm is with in an acceptable range
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