Calculator for Making Ethanol in water Solution

Ethanol in water Solution Density-Concentration Table

1) Here is the table of density (kg/L) and the corresponding concentration in % Weight of Ethanol (C₂H₅OH) in water at a temperature of 20 degrees centigrade. The table was taken from "Perry's Chemical Engineers' Handbook" by Robert H. Perry, Don Green, Seventh Edition. The second table given here has concentration in % Volume Ethanol. The Density-Volume% Ethanol table was derived from the Density-Weight% Ethanol table taken from the handbook.

Densities of Mixtures of Ethanol and Water at 20°C (Using Weight% Ethanol)
Concentration (% Ethanol by Weight)	Tenths of %
Concentration (% Ethanol by Weight)	0	1	2	3	4	5	6	7	8	9
	Density (Kg/L)
0	0.99823	0.99804	0.99785	0.99766	0.99748	0.99729	0.99710	0.99692	0.99673	0.99655
1	0.99636	0.99618	0.99599	0.99581	0.99562	0.99544	0.99525	0.99507	0.99489	0.99471
2	0.99453	0.99435	0.99417	0.99399	0.99381	0.99363	0.99345	0.99327	0.99310	0.99292
3	0.99275	0.99257	0.99240	0.99222	0.99205	0.99188	0.99171	0.99154	0.99137	0.99120
4	0.99103	0.99087	0.99070	0.99053	0.99037	0.99020	0.99003	0.98987	0.98971	0.98954
5	0.98938	0.98922	0.98906	0.98890	0.98874	0.98859	0.98843	0.98827	0.98811	0.98796
6	0.98780	0.98765	0.98749	0.98734	0.98718	0.98703	0.98688	0.98673	0.98658	0.98642
7	0.98627	0.98612	0.98597	0.98582	0.98567	0.98553	0.98538	0.98523	0.98508	0.98493
8	0.98478	0.98463	0.98449	0.98434	0.98419	0.98404	0.98389	0.98374	0.98360	0.98345
9	0.98331	0.98316	0.98301	0.98287	0.98273	0.98258	0.98244	0.98229	0.98215	0.98201
10	0.98187	0.98172	0.98158	0.98144	0.98130	0.98117	0.98103	0.98089	0.98075	0.98061
11	0.98047	0.98033	0.98019	0.98006	0.97992	0.97978	0.97964	0.97951	0.97937	0.97923
12	0.97910	0.97896	0.97883	0.97869	0.97855	0.97842	0.97828	0.97815	0.97801	0.97788
13	0.97775	0.97761	0.97748	0.97735	0.97722	0.97709	0.97696	0.97683	0.97670	0.97657
14	0.97643	0.97630	0.97617	0.97604	0.97591	0.97578	0.97565	0.97552	0.97539	0.97526
15	0.97514	0.97501	0.97488	0.97475	0.97462	0.97450	0.97438	0.97425	0.97412	0.97400
16	0.97387	0.97374	0.97361	0.97349	0.97336	0.97323	0.97310	0.97297	0.97284	0.97272
17	0.97259	0.97246	0.97233	0.97220	0.97207	0.97194	0.97181	0.97168	0.97155	0.97142
18	0.97129	0.97116	0.97103	0.97089	0.97076	0.97063	0.97050	0.97037	0.97024	0.97010
19	0.96997	0.96984	0.96971	0.96957	0.96944	0.96931	0.96917	0.96904	0.96891	0.96877
20	0.96864	0.96850	0.96837	0.96823	0.96810	0.96796	0.96783	0.96769	0.96756	0.96742
21	0.96729	0.96716	0.96702	0.96688	0.96675	0.96661	0.96647	0.96634	0.96620	0.96606
22	0.96592	0.96578	0.96564	0.96551	0.96537	0.96523	0.96509	0.96495	0.96481	0.96467
23	0.96453	0.96439	0.96425	0.96411	0.96396	0.96382	0.96368	0.96354	0.96340	0.96326
24	0.96312	0.96297	0.96283	0.96269	0.96254	0.96240	0.96225	0.96211	0.96196	0.96182
25	0.96168	0.96153	0.96139	0.96124	0.96109	0.96094	0.96080	0.96065	0.96050	0.96035
26	0.96020	0.96005	0.95990	0.95975	0.95959	0.95944	0.95929	0.95914	0.95898	0.95883
27	0.95867	0.95851	0.95836	0.95820	0.95805	0.95789	0.95773	0.95757	0.95742	0.95726
28	0.95710	0.95694	0.95678	0.95662	0.95646	0.95630	0.95613	0.95597	0.95581	0.95565
29	0.95548	0.95532	0.95516	0.95499	0.95483	0.95466	0.95450	0.95433	0.95416	0.95400
30	0.95382	0.95365	0.95349	0.95332	0.95315	0.95298	0.95281	0.95264	0.95247	0.95230
31	0.95212	0.95195	0.95178	0.95161	0.95143	0.95126	0.95108	0.95091	0.95074	0.95056
32	0.95038	0.95020	0.95003	0.94985	0.94967	0.94950	0.94932	0.94914	0.94896	0.94878
33	0.94860	0.94842	0.94824	0.94806	0.94788	0.94770	0.94752	0.94734	0.94715	0.94697
34	0.94679	0.94660	0.94642	0.94624	0.94605	0.94587	0.94568	0.94550	0.94531	0.94512
35	0.94494	0.94475	0.94456	0.94438	0.94419	0.94400	0.94382	0.94363	0.94344	0.94325
36	0.94306	0.94287	0.94268	0.94249	0.94230	0.94211	0.94192	0.94172	0.94153	0.94134
37	0.94114	0.94095	0.94075	0.94056	0.94036	0.94017	0.93997	0.93978	0.93958	0.93939
38	0.93919	0.93899	0.93879	0.93859	0.93840	0.93820	0.93800	0.93780	0.93760	0.93740
39	0.93720	0.93700	0.93680	0.93660	0.93640	0.93620	0.93599	0.93579	0.93559	0.93539
40	0.93518	0.93498	0.93478	0.93458	0.93437	0.93417	0.93396	0.93376	0.93356	0.93335
41	0.93314	0.93294	0.93273	0.93253	0.93232	0.93212	0.93191	0.93170	0.93149	0.93129
42	0.93107	0.93086	0.93065	0.93044	0.93023	0.93002	0.92981	0.92960	0.92939	0.92918
43	0.92897	0.92876	0.92855	0.92834	0.92812	0.92791	0.92770	0.92749	0.92728	0.92707
44	0.92685	0.92664	0.92642	0.92621	0.92600	0.92579	0.92557	0.92536	0.92515	0.92493
45	0.92472	0.92450	0.92429	0.92408	0.92386	0.92365	0.92343	0.92322	0.92300	0.92279
46	0.92257	0.92236	0.92214	0.92193	0.92171	0.92150	0.92128	0.92106	0.92085	0.92063
47	0.92041	0.92019	0.91997	0.91976	0.91954	0.91932	0.91910	0.91889	0.91867	0.91845
48	0.91823	0.91801	0.91780	0.91758	0.91736	0.91714	0.91692	0.91670	0.91648	0.91626
49	0.91604	0.91582	0.91560	0.91538	0.91516	0.91494	0.91472	0.91450	0.91428	0.91406
50	0.91384	0.91361	0.91339	0.91317	0.91295	0.91272	0.91250	0.91228	0.91206	0.91183
51	0.91160	0.91138	0.91116	0.91093	0.91071	0.91049	0.91026	0.91004	0.90981	0.90959
52	0.90936	0.90914	0.90891	0.90869	0.90846	0.90824	0.90801	0.90779	0.90756	0.90734
53	0.90711	0.90689	0.90666	0.90644	0.90621	0.90598	0.90576	0.90553	0.90531	0.90508
54	0.90485	0.90463	0.90440	0.90417	0.90395	0.90372	0.90349	0.90327	0.90304	0.90281
55	0.90258	0.90236	0.90213	0.90190	0.90167	0.90145	0.90122	0.90099	0.90076	0.90054
56	0.90031	0.90008	0.89985	0.89962	0.89939	0.89917	0.89894	0.89871	0.89848	0.89825
57	0.89803	0.89780	0.89757	0.89734	0.89711	0.89688	0.89665	0.89643	0.89620	0.89597
58	0.89574	0.89551	0.89528	0.89505	0.89482	0.89459	0.89436	0.89413	0.89390	0.89367
59	0.89344	0.89321	0.89298	0.89275	0.89252	0.89229	0.89206	0.89183	0.89160	0.89137
60	0.89113	0.89090	0.89067	0.89044	0.89021	0.88998	0.88975	0.88951	0.88928	0.88905
61	0.88882	0.88859	0.88836	0.88812	0.88789	0.88766	0.88743	0.88720	0.88696	0.88673
62	0.88650	0.88626	0.88603	0.88580	0.88557	0.88533	0.88510	0.88487	0.88463	0.88440
63	0.88417	0.88393	0.88370	0.88347	0.88323	0.88300	0.88277	0.88253	0.88230	0.88206
64	0.88183	0.88160	0.88136	0.88113	0.88089	0.88066	0.88042	0.88019	0.87995	0.87972
65	0.87948	0.87925	0.87901	0.87878	0.87854	0.87831	0.87807	0.87784	0.87760	0.87737
66	0.87713	0.87689	0.87666	0.87642	0.87619	0.87595	0.87572	0.87548	0.87524	0.87501
67	0.87477	0.87454	0.87430	0.87406	0.87383	0.87359	0.87336	0.87312	0.87288	0.87265
68	0.87241	0.87218	0.87194	0.87170	0.87147	0.87123	0.87099	0.87075	0.87052	0.87028
69	0.87004	0.86981	0.86957	0.86933	0.86909	0.86885	0.86862	0.86838	0.86814	0.86790
70	0.86766	0.86742	0.86718	0.86694	0.86671	0.86647	0.86623	0.86599	0.86575	0.86551
71	0.86527	0.86503	0.86479	0.86455	0.86431	0.86407	0.86383	0.86339	0.86335	0.86311
72	0.86287	0.86263	0.86239	0.86215	0.86191	0.86167	0.86143	0.86119	0.86095	0.86071
73	0.86047	0.86022	0.85998	0.85974	0.85950	0.85926	0.85902	0.85878	0.85854	0.85830
74	0.85806	0.85781	0.85757	0.85733	0.85709	0.85685	0.85661	0.85636	0.85612	0.85588
75	0.85564	0.85540	0.85515	0.85491	0.85467	0.85443	0.85419	0.85394	0.85370	0.85346
76	0.85322	0.85297	0.85273	0.85249	0.85225	0.85200	0.85176	0.85152	0.85128	0.85103
77	0.85079	0.85055	0.85031	0.85006	0.84982	0.84958	0.84933	0.84909	0.84884	0.84860
78	0.84835	0.84811	0.84787	0.84762	0.84738	0.84713	0.84689	0.84664	0.84640	0.84615
79	0.84590	0.84566	0.84541	0.84517	0.84492	0.84467	0.84443	0.84418	0.84393	0.84369
80	0.84344	0.84319	0.84294	0.84270	0.84245	0.84220	0.84196	0.84171	0.84146	0.84121
81	0.84096	0.84072	0.84047	0.84022	0.83997	0.83972	0.83947	0.83923	0.83898	0.83873
82	0.83848	0.83823	0.83798	0.83773	0.83748	0.83723	0.83698	0.83674	0.83649	0.83624
83	0.83599	0.83574	0.83549	0.83523	0.83498	0.83473	0.83448	0.83423	0.83398	0.83373
84	0.83348	0.83323	0.83297	0.83272	0.83247	0.83222	0.83196	0.83171	0.83146	0.83120
85	0.83095	0.83070	0.83044	0.83019	0.82994	0.82968	0.82943	0.82917	0.82892	0.82866
86	0.82840	0.82815	0.82789	0.82763	0.82738	0.82712	0.82686	0.82660	0.82635	0.82609
87	0.82583	0.82557	0.82531	0.82505	0.82479	0.82453	0.82427	0.82401	0.82375	0.82349
88	0.82323	0.82297	0.82271	0.82245	0.82219	0.82193	0.82167	0.82140	0.82114	0.82088
89	0.82062	0.82035	0.82009	0.81983	0.81956	0.81930	0.81903	0.81877	0.81850	0.81824
90	0.81797	0.81770	0.81744	0.81717	0.81690	0.81664	0.81637	0.81610	0.81583	0.81556
91	0.81529	0.81502	0.81475	0.81448	0.81421	0.81394	0.81366	0.81339	0.81312	0.81285
92	0.81257	0.81230	0.81203	0.81175	0.81148	0.81120	0.81093	0.81066	0.81038	0.81010
93	0.80983	0.80955	0.80928	0.80900	0.80872	0.80844	0.80817	0.80789	0.80761	0.80733
94	0.80705	0.80677	0.80649	0.80621	0.80593	0.80565	0.80537	0.80509	0.80480	0.80452
95	0.80424	0.80395	0.80367	0.80338	0.80310	0.80281	0.80253	0.80224	0.80195	0.80166
96	0.80138	0.80109	0.80080	0.80051	0.80022	0.79993	0.79963	0.79934	0.79905	0.79875
97	0.79846	0.79816	0.79787	0.79757	0.79727	0.79698	0.79668	0.79638	0.79608	0.79578
98	0.79547	0.79517	0.79487	0.79456	0.79426	0.79396	0.79365	0.79335	0.79305	0.79274
99	0.79243	0.79213	0.79182	0.79151	0.79120	0.79089	0.79059	0.79028	0.78997	0.78966
100	0.78934

2) Here is the second table where concentration is expressed in % Volume Ethanol. The Density-Volume% Ethanol table was derived from the Density-Weight% Ethanol table taken from the handbook.

Densities of Mixtures of Ethanol and Water at 20°C (Using Volume% Ethanol)
Concentration (% Ethanol by Volume)	Tenths of %
Concentration (% Ethanol by Volume)	0	1	2	3	4	5	6	7	8	9
	Density (Kg/L)
0	0.99823	0.99808	0.99793	0.99778	0.99763	0.99749	0.99734	0.99719	0.99704	0.99690
1	0.99675	0.99660	0.99645	0.99631	0.99616	0.99601	0.99587	0.99572	0.99557	0.99543
2	0.99528	0.99513	0.99499	0.99485	0.99470	0.99456	0.99442	0.99427	0.99413	0.99398
3	0.99384	0.99370	0.99355	0.99341	0.99327	0.99313	0.99299	0.99285	0.99271	0.99257
4	0.99243	0.99229	0.99215	0.99201	0.99188	0.99174	0.99161	0.99147	0.99133	0.99120
5	0.99106	0.99093	0.99080	0.99066	0.99052	0.99040	0.99026	0.99013	0.98999	0.98986
6	0.98973	0.98960	0.98947	0.98934	0.98921	0.98908	0.98895	0.98882	0.98870	0.98857
7	0.98845	0.98832	0.98819	0.98806	0.98794	0.98781	0.98769	0.98756	0.98744	0.98731
8	0.98719	0.98706	0.98694	0.98682	0.98670	0.98658	0.98645	0.98633	0.98620	0.98608
9	0.98596	0.98584	0.98572	0.98560	0.98549	0.98536	0.98524	0.98512	0.98500	0.98488
10	0.98476	0.98463	0.98452	0.98440	0.98428	0.98416	0.98404	0.98391	0.98379	0.98367
11	0.98356	0.98344	0.98332	0.98320	0.98308	0.98296	0.98285	0.98273	0.98261	0.98250
12	0.98238	0.98226	0.98214	0.98203	0.98191	0.98180	0.98168	0.98156	0.98145	0.98133
13	0.98122	0.98111	0.98100	0.98089	0.98077	0.98066	0.98054	0.98043	0.98031	0.98020
14	0.98009	0.97998	0.97987	0.97975	0.97964	0.97953	0.97942	0.97930	0.97919	0.97908
15	0.97897	0.97886	0.97875	0.97863	0.97852	0.97841	0.97830	0.97819	0.97808	0.97797
16	0.97786	0.97775	0.97764	0.97753	0.97742	0.97732	0.97721	0.97710	0.97699	0.97689
17	0.97678	0.97667	0.97657	0.97645	0.97634	0.97624	0.97613	0.97602	0.97591	0.97581
18	0.97570	0.97559	0.97548	0.97538	0.97527	0.97517	0.97507	0.97496	0.97485	0.97474
19	0.97464	0.97454	0.97444	0.97433	0.97423	0.97412	0.97402	0.97391	0.97381	0.97370
20	0.97359	0.97349	0.97339	0.97328	0.97317	0.97306	0.97295	0.97285	0.97275	0.97264
21	0.97253	0.97242	0.97232	0.97221	0.97210	0.97199	0.97188	0.97178	0.97167	0.97156
22	0.97145	0.97134	0.97123	0.97113	0.97102	0.97090	0.97079	0.97068	0.97057	0.97047
23	0.97036	0.97025	0.97013	0.97002	0.96991	0.96980	0.96970	0.96958	0.96947	0.96936
24	0.96925	0.96913	0.96902	0.96891	0.96880	0.96869	0.96857	0.96846	0.96835	0.96823
25	0.96812	0.96801	0.96789	0.96778	0.96767	0.96756	0.96744	0.96733	0.96722	0.96710
26	0.96699	0.96687	0.96676	0.96664	0.96653	0.96641	0.96630	0.96618	0.96606	0.96595
27	0.96583	0.96571	0.96559	0.96548	0.96536	0.96525	0.96513	0.96501	0.96489	0.96477
28	0.96465	0.96454	0.96442	0.96430	0.96418	0.96406	0.96393	0.96381	0.96369	0.96358
29	0.96346	0.96334	0.96322	0.96310	0.96297	0.96285	0.96273	0.96261	0.96249	0.96236
30	0.96224	0.96212	0.96199	0.96187	0.96175	0.96163	0.96150	0.96138	0.96125	0.96112
31	0.96100	0.96087	0.96075	0.96062	0.96049	0.96036	0.96024	0.96011	0.95998	0.95985
32	0.95972	0.95958	0.95945	0.95932	0.95920	0.95906	0.95893	0.95880	0.95866	0.95852
33	0.95839	0.95826	0.95812	0.95799	0.95785	0.95771	0.95758	0.95745	0.95731	0.95717
34	0.95703	0.95689	0.95676	0.95662	0.95648	0.95634	0.95619	0.95605	0.95591	0.95577
35	0.95563	0.95549	0.95535	0.95521	0.95506	0.95492	0.95478	0.95463	0.95449	0.95434
36	0.95419	0.95405	0.95390	0.95375	0.95360	0.95346	0.95331	0.95316	0.95301	0.95287
37	0.95272	0.95257	0.95242	0.95227	0.95211	0.95196	0.95181	0.95166	0.95151	0.95135
38	0.95120	0.95104	0.95089	0.95074	0.95058	0.95043	0.95027	0.95011	0.94996	0.94980
39	0.94964	0.94949	0.94933	0.94917	0.94901	0.94885	0.94869	0.94853	0.94837	0.94821
40	0.94805	0.94789	0.94773	0.94757	0.94741	0.94725	0.94708	0.94692	0.94676	0.94659
41	0.94643	0.94627	0.94610	0.94594	0.94577	0.94560	0.94544	0.94527	0.94510	0.94494
42	0.94477	0.94460	0.94443	0.94427	0.94410	0.94393	0.94376	0.94359	0.94342	0.94325
43	0.94308	0.94291	0.94274	0.94256	0.94239	0.94222	0.94205	0.94187	0.94169	0.94152
44	0.94135	0.94117	0.94099	0.94081	0.94064	0.94046	0.94028	0.94011	0.93993	0.93975
45	0.93957	0.93940	0.93922	0.93903	0.93885	0.93867	0.93849	0.93831	0.93813	0.93794
46	0.93776	0.93758	0.93739	0.93721	0.93703	0.93684	0.93666	0.93647	0.93629	0.93610
47	0.93591	0.93573	0.93554	0.93536	0.93516	0.93498	0.93479	0.93461	0.93441	0.93423
48	0.93404	0.93385	0.93366	0.93347	0.93328	0.93308	0.93290	0.93270	0.93251	0.93232
49	0.93213	0.93194	0.93174	0.93154	0.93136	0.93116	0.93095	0.93076	0.93056	0.93036
50	0.93017	0.92997	0.92977	0.92958	0.92938	0.92918	0.92898	0.92879	0.92859	0.92839
51	0.92818	0.92798	0.92778	0.92759	0.92739	0.92719	0.92699	0.92678	0.92658	0.92637
52	0.92617	0.92597	0.92577	0.92556	0.92537	0.92517	0.92496	0.92476	0.92455	0.92435
53	0.92415	0.92394	0.92373	0.92353	0.92332	0.92312	0.92291	0.92271	0.92250	0.92229
54	0.92209	0.92188	0.92167	0.92147	0.92126	0.92105	0.92084	0.92063	0.92042	0.92021
55	0.91999	0.91979	0.91958	0.91937	0.91915	0.91895	0.91874	0.91852	0.91831	0.91810
56	0.91789	0.91768	0.91747	0.91725	0.91704	0.91682	0.91661	0.91639	0.91618	0.91597
57	0.91575	0.91554	0.91532	0.91510	0.91489	0.91467	0.91446	0.91424	0.91403	0.91381
58	0.91358	0.91337	0.91315	0.91293	0.91271	0.91249	0.91227	0.91206	0.91183	0.91160
59	0.91138	0.91116	0.91094	0.91072	0.91050	0.91027	0.91005	0.90982	0.90960	0.90938
60	0.90916	0.90893	0.90871	0.90848	0.90826	0.90803	0.90781	0.90758	0.90736	0.90713
61	0.90691	0.90668	0.90646	0.90622	0.90599	0.90577	0.90554	0.90532	0.90509	0.90486
62	0.90463	0.90440	0.90417	0.90395	0.90371	0.90348	0.90326	0.90303	0.90279	0.90256
63	0.90234	0.90210	0.90187	0.90163	0.90141	0.90117	0.90094	0.90071	0.90048	0.90025
64	0.90001	0.89977	0.89954	0.89931	0.89908	0.89884	0.89861	0.89837	0.89814	0.89791
65	0.89767	0.89743	0.89720	0.89696	0.89672	0.89649	0.89626	0.89602	0.89578	0.89555
66	0.89531	0.89507	0.89483	0.89459	0.89435	0.89411	0.89387	0.89363	0.89339	0.89315
67	0.89292	0.89268	0.89243	0.89219	0.89195	0.89171	0.89147	0.89122	0.89098	0.89074
68	0.89050	0.89025	0.89001	0.88977	0.88952	0.88928	0.88903	0.88879	0.88855	0.88830
69	0.88805	0.88781	0.88756	0.88732	0.88707	0.88682	0.88658	0.88632	0.88608	0.88583
70	0.88559	0.88533	0.88509	0.88484	0.88458	0.88434	0.88409	0.88384	0.88359	0.88334
71	0.88309	0.88284	0.88258	0.88233	0.88208	0.88183	0.88158	0.88132	0.88107	0.88081
72	0.88056	0.88031	0.88005	0.87980	0.87954	0.87929	0.87903	0.87878	0.87852	0.87826
73	0.87801	0.87775	0.87749	0.87724	0.87697	0.87672	0.87646	0.87620	0.87594	0.87569
74	0.87542	0.87516	0.87491	0.87465	0.87439	0.87412	0.87387	0.87360	0.87335	0.87308
75	0.87282	0.87256	0.87230	0.87204	0.87177	0.87151	0.87125	0.87098	0.87071	0.87045
76	0.87019	0.86992	0.86966	0.86939	0.86912	0.86885	0.86859	0.86832	0.86805	0.86778
77	0.86751	0.86724	0.86697	0.86671	0.86644	0.86617	0.86590	0.86562	0.86535	0.86508
78	0.86481	0.86453	0.86426	0.86399	0.86356	0.86336	0.86316	0.86289	0.86261	0.86234
79	0.86206	0.86179	0.86151	0.86124	0.86096	0.86069	0.86041	0.86012	0.85984	0.85957
80	0.85929	0.85901	0.85873	0.85846	0.85818	0.85789	0.85761	0.85733	0.85705	0.85677
81	0.85649	0.85620	0.85592	0.85564	0.85536	0.85506	0.85478	0.85450	0.85422	0.85393
82	0.85364	0.85336	0.85307	0.85278	0.85250	0.85222	0.85192	0.85164	0.85136	0.85106
83	0.85077	0.85049	0.85020	0.84991	0.84962	0.84932	0.84903	0.84874	0.84844	0.84815
84	0.84787	0.84757	0.84727	0.84698	0.84668	0.84639	0.84608	0.84579	0.84549	0.84520
85	0.84489	0.84459	0.84429	0.84399	0.84369	0.84339	0.84308	0.84278	0.84248	0.84217
86	0.84188	0.84157	0.84126	0.84095	0.84065	0.84035	0.84004	0.83973	0.83942	0.83912
87	0.83881	0.83850	0.83818	0.83787	0.83756	0.83725	0.83694	0.83663	0.83632	0.83601
88	0.83569	0.83537	0.83505	0.83473	0.83442	0.83410	0.83379	0.83347	0.83315	0.83282
89	0.83251	0.83219	0.83186	0.83154	0.83121	0.83089	0.83056	0.83024	0.82991	0.82958
90	0.82925	0.82893	0.82859	0.82826	0.82792	0.82759	0.82726	0.82692	0.82658	0.82625
91	0.82590	0.82556	0.82522	0.82488	0.82453	0.82419	0.82384	0.82350	0.82315	0.82281
92	0.82246	0.82212	0.82177	0.82141	0.82106	0.82071	0.82035	0.82000	0.81964	0.81929
93	0.81893	0.81856	0.81821	0.81784	0.81748	0.81711	0.81675	0.81638	0.81601	0.81563
94	0.81526	0.81488	0.81451	0.81413	0.81375	0.81337	0.81299	0.81260	0.81222	0.81183
95	0.81145	0.81105	0.81067	0.81027	0.80988	0.80949	0.80910	0.80869	0.80830	0.80790
96	0.80749	0.80709	0.80668	0.80627	0.80586	0.80546	0.80505	0.80462	0.80421	0.80379
97	0.80336	0.80294	0.80252	0.80208	0.80165	0.80122	0.80079	0.80035	0.79991	0.79945
98	0.79901	0.79855	0.79809	0.79764	0.79717	0.79672	0.79625	0.79577	0.79529	0.79481
99	0.79432	0.79384	0.79336	0.79287	0.79237	0.79188	0.79137	0.79087	0.79038	0.78987
100	0.78934