Question

A small cylinder of helium gas used for filling balloons has a volume of 2.45 L and a pressure of 14800 kPa at 25 ∘C. Part A How many balloons can you fill if each one has a volume of 1.70 L and a pressure of 1.23 atm at 25 ∘C? Ammonium nitrate can decompose explosively when heated according to the equation 2NH4NO3(s)→2N2(g)+4H2O(g)+O2(g)

Part A How many liters of gas would be formed at 490 ∘C and 1.00 atm pressure by explosion of 550 g of NH4NO3? VgasV g a s = nothing L

Answer 1

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Voume Bvar A Saval cylivdut of hclium gan 14800 k Pa of 45 L ad Pre uc wc Knotw 1 Pan cal 98 69 x 16-6 atm 14 6 06atm So 148cd x10 Pa carv bc fiued vumber of bcllom wC amumC by ris Undot Each of th csc baloma va ce and I3 atm PrCyS 170L VOlumo PINI=N P2 we Know P,= P3CCpUJte Gf Heuium ga CYAivder PI= 146 06etm VI 45L 123 P2 Vomc of V2 I70 eyivdor Pz=Peswre of coch b al on 2 PJCCya uI e of ball on

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A am ivi=NP22 NX23X170 VOLume 146 06 X 4 5 V=171 13 171 a vumbo of ballora CaYv rvot y in fraction uc Cam fiu 171 bauom rom at of Helium g iman wo Ca decomposc explosivcy Amnonium vimmdc Ther cated according to A S 2NH4 NO3 C 2 N2c)t 4o cg) of wc REOMOlau am of N H4 NO3 1 80 0439mo) uc cam occ from e uadio J a Two Paco Poion f Ammonium nitru ade decom poscd ivto pOporuion N, 4 PtCPo Juion H2o and y 1 PTGPOtion 02 1F foxom So uc cam 8ay twar mvol of Ammo niom ni tsode oc wiu gcT totl mal PI ava z mol N t 4 mol H20 t 1 mvol 02

e 550 g NH4 NO3 fox caciar mod NH4No 550 N H4 NO3 80043 6 872 moJ gct megas tcom z,mol NH4 No 3 wc accosraing to cauarion. wc wia So from 6832 mol NH4 NO3 2 = 34 04 mcl gas as 4 L wc Know twa 1 mvol ga So 34 04 mo Ras 22 1 2 4 04 - 538 49L 2 538 5 L So wc aiu gcr 538 5L a Ftom he of S5 o G NH4 NO3. eXPlosion

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ria n Rate WG waNe to comidere Fere The tempPC.J6atUJIC 0f ON the cactiary cre at 5 c temvpet ctUra amd 1atm prc ugcc he as z,4Lirormo VGRunve of gas 5u at 49o c cRamgc accex.ding to PvEnRT P = 1atm = 763 K O08 2 Latmkmos K nV=24 04 mol a Ltxom Pteviou Calculation PV=nRT 1 04 X76 3 X0 08 2 1 xV = 1504 08 150 4 08 O J V from the 1 50 4 08 explosion of 55 of NH4 NO3