e3a pc 2016 physique corrigé


/W 1 /R61 11.9552 Tf q 4 0 0 -99 672.9 1206.9 cm [(E)-440.185(=)-5.92546]TJ /W 1 [(S)-6.66273(+)-0.562929]TJ /R48 6.97385 Tf [(1)1.16367]TJ /BPC 1 endobj /Subtype/Link>>endobj 8.33333 0 0 8.33333 0 0 cm BT /IM true 8.33333 0 0 8.33333 0 0 cm BT [(\()3.35237(c)-1.33213(')0.673414(e)-1.33213(s)-3.1377(t)3.35237(-)-4.01108(�)-6.01368(-)-4.01108(d)1.34683(i)0.673414(r)-5.91369(e)-230.187(i)0.673414(n)1.34683(d)1.34683(�)-1.33213(p)-22.7432(e)-1.33213(n)1.34683(d)1.34683(a)-6.01368(n)25.4368(t)-237.548(d)1.34683(e)-242.232(l)0.673414(a)-234.869(p)-22.7432(o)-6.01368(s)-3.1377(i)0.673414(t)3.35237(i)0.673414(o)-6.01368(n)-227.508(d)1.34683(a)-6.01368(n)1.34683(s)-3.1377]TJ /R48 6.97385 Tf >> 7.8 -1.44 Td 279.84 0 Td 261.36 0 Td /R48 6.97385 Tf [(S)-432.691(+)-5.92546]TJ [(E)-6.56358(\()2.56133]TJ q [( )-5.92546]TJ [( )777(! 30413 /H 1 /IM true /BPC 1 /R48 6.97385 Tf 9.48 0 Td q 3048 0 0 -4 530.9 5587.9 cm /R46 9.96264 Tf <> -154.08 -25.56 Td 272.88 0 Td Forgot account? /R27 9.96264 Tf 9.96 0 Td [()4.88446]TJ Q 169.68 0 Td endobj /H 1 273 0 Td [(V)3.20975(\()2.55986]TJ [(S)0.929253]TJ ET [(;)-312.498(d)1.3483(e)-302.459(p)1.34683(l)0.673414(u)1.34683(s)-3.1377(,)0.673414]TJ /IM true or. ET /R48 6.97385 Tf /R48 6.97385 Tf 2.28 -7.32 Td (@)Tj [(1)1.16367]TJ 7.44 -1.44 Td [(d)1.3483(')0.671944(a)-6.01515(x)-2.33195(e)-1.3336]TJ Ajouter une petite quantité de diazote revenant à augmenter a, on peut en déduire que 7.8 1.44 Td 7.92 16.44 Td /W 1 285.96 0 Td /R19 9.96264 Tf [(p)-22.7417(e)-1.33286(r)-5.91443(p)-22.7417(e)-1.33286(n)1.3483(d)1.3483(i)0.671944(c)-1.33286(u)1.3483(l)0.671944(a)-6.01515(i)0.671944(r)-5.91517(e)-1.3336(s)-388.578(�)-6.01515]TJ /R46 9.96264 Tf 8.33333 0 0 8.33333 0 0 cm BT [(3)-6.01368]TJ /BPC 1 28.8 -1.44 Td q [(a)1.46824(i)-3.60443(r)-1.06915]TJ /R48 6.97385 Tf /BPC 1 /R19 9.96264 Tf [(K)-3657.62(P)3.27722(u)-4.63646(b)-4.63646(l)4.3718(i)4.3718(�)-345.938(d)-4.63646(a)5.19519(n)-4.63646(s)-344.167(l)4.3718(e)2.02906(s)3.8]TJ [( )777(! 7.8 -1.44 Td /W 1 /BPC 1 [(b)-5.86664]TJ [(E)-6.56505]TJ -286.56 -15.36 Td )0.264661]TJ 8.33333 0 0 8.33333 0 0 cm BT [(U)3.21122]TJ -274.68 -12 Td 56.16 -1.44 Td 4.44 1.44 Td Q /R10 8.96638 Tf [(\))-298.565(=)-5.92546]TJ [(d)0.930723(iv)-2.98037]TJ [(=)-5.92546]TJ [(L)-1.49607(e)-386.773(t)3.3531(h)1.3483(�)-1.33286(o)-6.01515(r)-5.91443(�)-1.33286(m)2.02392(e)-374.728(d)1.3483(e)-386.773(G)1.60267(a)-6.01515(u)1.3483(s)-3.1377(s)-388.578(a)-6.01515()2.02465(r)-5.91517(m)2.02465(e)-374.729(q)-2.33195(u)1.3483(e)-386.774(c)-1.3336(e)-386.774()1.3483(u)1.3483(x)-387.772(v)57.893(a)-6.01368(u)1.34683(t)-382.088(l)0.673414(a)-391.454(c)22.7579(h)1.34683(a)-6.01368(r)-5.91369(g)-6.01368(e)-362.682(c)-1.33213(o)-6.01368(n)25.4368(t)3.35237(e)-1.33213(n)25.4368(u)1.34683(e)-374.727(d)]TJ q -214.2 -15.72 Td <> q 4 0 0 -108 436.9 2667.9 cm /H 1 ID 24.36 6.84 Td /R46 9.96264 Tf q 3048 0 0 -4 436.9 5587.9 cm 1.56 -7.32 Td /R19 9.96264 Tf 9.96 0 Td q 4 0 0 -108 730.9 3231.9 cm [(C)-0.656873(. )-288.407(C)-0.65577(e)-290.412(p)1.34683(r)-5.91369(o)-6.01368(b)]TJ [(c)41.2297(h)0.345529(a)4.82123(m)-5.502(p)-288.734(u)0.345529(n)0.345529(i)-5.85194(f)1.99525(o)-3.30091(r)3.74495(m)-5.502(e)-3.02742]TJ q Q [(S)-504.959(=)-5.92546]TJ Corrigé e3a-polytech PC physique 2020 . 0 0 0 1 k <> 41 0 obj /BPC 1 8.33333 0 0 8.33333 0 0 cm BT 276.72 0 Td [(\))-166.069(d)0.929253(S)-276.106(=)-282.96(E)-6.56358(\()2.56133]TJ /R21 9.96264 Tf 1.56 -7.32 Td q [(s)-3.1377(u)1.34683()2.02318(s)-3.1377(a)-6.01368(m)2.02318(m)2.02318(e)-1.33213(n)25.4368(t)-273.683(d)1.34683(a)-6.01368(n)1.34683(s)-280.173(l)0.673414(e)-290.412(t)3.35237(e)-1.33213(m)2.02318(p)1.34683(s)-3.1377]TJ -223.8 -17.28 Td /BPC 1 /R48 6.97385 Tf [(")-3.75524]TJ EI Q [(p)1.34683(r)-5.91369(e)-1.33213(m)2.02318(i)0.673414(�)-1.33213(r)-5.91369(e)-326.547(h)1.34683(a)-6.01368(r)-5.91369(m)2.02318(o)-6.01368(n)1.34683(i)0.673414(q)-2.33195(u)1.34683(e)-1.33213(. q 4 0 0 -220 1768.9 2922.9 cm endobj 1 0 0 1 104.88 134.88 Tm June 9, 2016 at 4:34 AM. q 301 0 0 -4 2338.9 3651.9 cm 1 0 0 1 408.24 674.04 Tm [(V)3.20975]TJ : 04 73 40 54 13 8.33333 0 0 8.33333 0 0 cm BT /R19 9.96264 Tf 21 13.56 Td 6.12 1.44 Td /R48 6.97385 Tf BI ID /R46 9.96264 Tf /R19 9.96264 Tf [(V)3.21122]TJ /R14 7.97011 Tf [(\))2.56133]TJ /R19 9.96264 Tf /BPC 1 /BPC 1 /R44 9.96264 Tf 41 0 R /R63 6.97385 Tf 274.68 0 Td /R21 9.96264 Tf 73 0 obj 13.8 6.72 Td ET 24.84 6.72 Td /R46 9.96264 Tf 8.33333 0 0 8.33333 0 0 cm BT ID [(F)2.18713(i)0.671944(n)1.3483(a)-6.01515(l)0.671944(e)-1.33286(m)2.02392(e)-1.33286(n)25.4383(t)3.3531]TJ 1 0 0 1 91.32 625.44 Tm [(x)4.88519]TJ /IM true /R48 6.97385 Tf [(�)3.27722(d)-4.63565(i)4.3718(t)-1.9098(i)4.3718(o)5.19519(n)-4.63565(s)-357.549(H)-5.74493]TJ /BPC 1 4.56 1.44 Td <>endobj BI 0 0 0 1 k <> /W 1 [(Q)-5.92546]TJ /IM true /BPC 1 /R44 9.96264 Tf 18.72 0 Td /IM true ET EI Q 9.96 0 Td q 0.12 0 0 0.12 0 0 cm 51 0 obj /IM true See more of Concours E3A MP PC PSI PT Sujet et corrigé on Facebook. /H 1 /BPC 1 /R46 9.96264 Tf ET 7.44 -1.44 Td /R19 9.96264 Tf q 4 0 0 -108 730.9 4340.9 cm [(N)3.02669(o)-6.01515(t)3.3531(o)-6.01515(n)1.3483(s)-231.993(�)-1.3336(g)-6.01515(a)-6.01515(l)0.671944(e)-1.3336(m)2.02465(e)-1.3336(n)25.4383(t)-225.503(q)-2.33195(u)1.3483(e)-230.189(l)0.671944(')0.671944(e)-1.3336(x)-2.33195(p)1.3483(r)-5.91517(e)-1.3336(s)-3.1377(s)-3.1377(i)0.671944(o)-6.01368(n)-215.463(p)1.34683(r)-5.91369(o)-6.01368(p)-22.7432(o)-6.01368(s)-3.1377(�)-1.33213(e)-218.142(a)-6.01368(u)-227.508(d)1.34683(�)-1.33213(b)1.34683(u)1.34683(t)-249.593(d)1.34683(e)-230.187(c)-1.33213(e)-1.33213(t)3.35237(t)]TJ 1 0 0 1 277.08 347.28 Tm /BPC 1 /R48 6.97385 Tf /R44 9.96264 Tf [( )777(! 1 0 0 1 87 123 Tm /R21 9.96264 Tf q 199 0 0 -4 436.9 1671.9 cm ID <> /W 1 1.68 -7.32 Td /BPC 1 /R46 9.96264 Tf )-324.542(e)-1.33213(t)-333.908(o)-6.01368(b)1.34683(t)3.35237(e)-1.33213(n)1.34683(i)0.673414(r)-331.129(l)0.673414(e)-338.592(r)-5.91369(�)-1.33213(s)-3.1377(u)]TJ /R10 8.96638 Tf [(e)-4.75507]TJ q 6.6 0 Td 36 0 obj ID /R46 9.96264 Tf <> 1 0 0 1 99.24 221.4 Tm endstream /R19 9.96264 Tf /IM true 5.88 3.6 Td BI 5.04 0 Td [(")-3.75524]TJ Q /H 1 EI Q /R21 9.96264 Tf }8)���t"���54͖�C� U[��jF�#�� %�0���3�KF�7�2(��ģ�el��Dٖ�4��G&�E�Ji��K��h�"�]Q�B��my�^�oa?˞����v���r��r����I�H�{abE���-28�o�������S��l� q /W 1 )-5.85194(5)-3.30091]TJ /W 1 /R21 9.96264 Tf 7.44 -1.44 Td /R46 9.96264 Tf /R27 9.96264 Tf 4.44 1.44 Td /H 1 [(L)-1.34095]TJ /IM true BI /R21 9.96264 Tf 253.2 0 Td EI Q [(. [(D)4.86424(')0.671944(a)-6.01515(p)1.3483(r)-5.91443(�)-1.33286(s)-328.353(l)0.671944(a)-331.23(q)-2.33122(u)1.3483(e)-1.33286(s)-3.1377(t)3.35237(i)0.671944(o)-6.01515(n)-323.867(B)-2.49516(. [(Z)241.831(Z)0.930723]TJ 3.84 7.32 Td /R46 9.96264 Tf /R46 9.96264 Tf )-336.588(C)-0.657241(')0.671944(e)-1.33286(s)-3.1377(t)-321.863(u)1.3483(n)-335.912(t)3.35237(r)-5.91517(�)-1.3336(s)-328.353(b)-22.7417(o)-6.01515(n)-335.912(s)-3.1377(u)1.3483(j)4.35514(e)-1.3336(t)-333.908(d)1.3483(e)-338.594(r)-5.91517(�)-1.3336(v)-2.33195(i)0.671944(s)-3.1377(i)0.671944(o)-6.01368(n)-311.823(q)-2.33195(u)1.34683(i)-336.587(v)57.893(a)-6.01368(u)1.34683(t)-333.908(l)0.673414(a)-331.229(p)-22.7432(e)-1.33213(i)0.673414(n)1.34683(e)]TJ [(p)1.3483(r)-5.91443(o)-6.01515(g)-6.01515(r)-5.91443(a)-6.01515(m)2.02392(m)2.02392(e)-218.143(t)3.3531(o)-6.01515(u)1.3483(t)-249.593(e)-1.3336(n)-239.552(r)-5.91517(e)-1.3336(s)-3.1377(t)3.35237(a)-6.01515(n)25.4383(t)-225.503(a)-6.01515(s)-3.1377(s)-3.1377(e)-1.3336(z)-218.144(p)1.3483(r)-5.91517(o)-30.1051(c)22.7564(h)1.3483(e)-230.189(d)1.3483(u)-251.598(c)-1.33213(o)-6.01368(u)1.34683(r)-5.91369(s)-219.948(e)-1.33213(t)-249.593(d)1.34683(e)-1.33213(s)-231.993(e)-1.33213(x)-2.33195(e)-1.33213(r)-5.91369(c)-1.33213(i)]TJ [(V)3.21122]TJ 1 0 0 1 87 99 Tm EI Q or. [( )777(! /R46 9.96264 Tf /H 1 /R21 9.96264 Tf [(x)-6.87278]TJ 6.12 1.44 Td ID q 4 0 0 -220 1409.9 634.9 cm -270 -11.88 Td 25.56 13.56 Td ID /R46 9.96264 Tf /R48 6.97385 Tf [(\))-285.728(e)-1.33213(t)-273.683(V)3.02595(i)0.673414(n)1.34683(c)-1.33213(e)-1.33213(n)25.4368(t)-273.683(W)3.69937(i)0.673414(e)-1.33213(c)-1.33213(z)-1.33213(n)25.4368(y)-2.33195]TJ Not Now. Q -9.96 -15.48 Td [(S)0.929253]TJ /BPC 1 /R21 9.96264 Tf Q /R27 9.96264 Tf /W 1 [(I)-0.330826(. 4.68 -1.44 Td [(x)4.88446]TJ �B�>�‘!�A �)��܃��,f��YjM��E�[m���s�f6�!��K������$s��*�p>Z\B�k�Is�F��Ϊ'��Dk�]�Z�i��$��5�,-��Z�^6«]� xg�t^J[du���+��+K1���M��'�Pe�0=J���W��-�갱ŗtA�>�9��>�WB��hiH��23��ߎ���y!K����,ثm����Ȋ-��6ؽ5��˖~���v#Y�e��?��p� ��֢ /H 1 EI Q ID [(A)1.99084(. )0.671944(7)-511.905(M)1.02115(o)-6.01515(n)25.4383(t)3.3531(r)-5.91443(e)-1.33286(r)-307.039(e)-1.33286(n)-335.912(q)-2.33195(u)1.3483(o)-6.01515(i)-312.498(l)0.671944(e)-1.3336(s)-328.353(h)25.4383(y)-2.33195(p)-22.7417(o)-6.01515(t)3.35237(h)1.3483(�)-1.3336(s)-3.1377(e)-1.3336(s)-328.353(a)-6.01515(u)1.3483(x)-2.33195(q)-2.33195(u)1.3483(e)-1.33213(l)0.673414(l)0.673414(e)-1.33213(s)-316.308(o)-6.01368(n)-323.868(f)4.35514(a)-6.01368(i)0.673414(t)-321.863(a)-6.01368(p)1.34683(p)-22.7432(e)-1.33213(l)-324.542(p)]TJ 2.28 -7.32 Td /R19 9.96264 Tf /R27 9.96264 Tf Q [(e)-1.33213(s)-3.1377(t)-297.773(a)-6.01368(l)0.673414(o)-6.01368(r)-5.91369(s)-292.218(c)-1.33213(o)-6.01368(l)0.673414(i)0.673414(n)1.34683(�)-1.33213(a)-6.01368(i)0.673414(r)-5.91369(e)-278.367(a)18.0763(v)21.758(e)-1.33213(c)-290.412(l)0.673414(e)-302.457(c)22.7579(h)1.34683(a)-6.01368(m)2.02318(p)1.34683(. [(V)3.20975]TJ q Q Q /R10 8.96638 Tf q 3048 0 0 -5 530.9 258.9 cm /R27 9.96264 Tf <> Q 10.56 0 Td <> 21.72 0 Td )0.671944(9)-511.905(P)29.9566(a)-6.01515(s)-3.1377(s)-3.1377(e)-1.33286(r)-270.904(e)-1.33286(n)-299.777(q)-2.33195(u)1.3483(a)-6.01515(n)25.4383(t)3.35237(i)0.671944(t)3.35237(�)-290.414(d)1.3483(e)-290.414(m)2.02465(a)-6.01515(t)3.35237(i)0.671944(�)-1.3336(r)-5.91517(e)-278.369(p)-22.7417(o)-6.01515(u)1.3483(r)-294.995(t)3.35237(r)-5.91517(o)-6.01515(u)1.34683(v)21.758(e)-1.33213(r)-282.949(�)-295.094(l)0.673414(a)-283.049(c)-1.33213(o)-6.01368(n)1.34683(c)-1.33213(e)-1.33213(n)25.4368(t)3.35237(r)-5.91369(a)]TJ EI Q /R48 6.97385 Tf [(D)2.92107(o)2.92107(c)2.92107(-)2.92107(S)2.92107(o)2.92107(l)2.92107(u)2.92107(s)2.92107(. 67 0 obj EI Q [( )319.29( )295.2(! /BPC 1 q ID [(Q)-5.92546]TJ 8.33333 0 0 8.33333 0 0 cm BT 0 0 1 rg 8.33333 0 0 8.33333 0 0 cm BT [(0)1.16367]TJ 246.84 0 Td BI q 4 0 0 -220 1688.9 2835.9 cm ET ID endobj 1 0 0 1 55.8 444.96 Tm ()Tj /R65 9.96264 Tf q 17 0 obj q 4 0 0 -108 730.9 2157.9 cm BI [(Q)-270.915(=)-282.96(Q)-5.92546]TJ /W 1 Q /R50 6.97385 Tf /R17 9.96264 Tf BI 263.64 0 Td EI Q /BPC 1 /R48 6.97385 Tf /H 1 q 203 0 0 -4 530.9 2160.9 cm /H 1 8.64 -22.56 Td /IM true [(0)1.16367]TJ /R10 8.96638 Tf /R21 9.96264 Tf -173.64 -19.68 Td /R27 9.96264 Tf /R21 9.96264 Tf V�:&N�ʽ�ۙ��5تy����;�~�@�x��1��E��'�Xz/�b͜�3���U�# �����8{��+� `e�����ZZ�. 6.72 1.44 Td [(\))2.56133]TJ /W 1 -0.12 -15.48 Td [(e)-1.3336(t)3.35237]TJ [(e)-302.457(p)1.34683(h)25.4368(y)-2.33195(s)-3.1377(i)0.673414(q)-2.33195(u)1.34683(e)-290.412(e)-1.33213(t)-297.773(u)1.34683(n)-299.778(d)1.34683(e)-1.33213]TJ )-312.498(N)3.02595(e)-338.594(p)1.3483(a)-6.01515(s)-328.353(h)1.3483(�)-1.33213(s)-3.1377(i)0.673414(t)3.35237(e)-1.33213(r)-331.129(�)-331.229(e)-1.33213(n)-335.913(s)-3.1377(a)-6.01368(u)1.34683(t)3.35237(e)-1.33213(r)-331.129(c)-1.33213(e)-1.33213(r)-5.91369(t)]TJ ET )0.264661]TJ Q ET Q 263.16 0 Td 6.72 1.44 Td ()Tj [(i)0.673414(v)21.758(e)-1.33213(s)-328.353(d)1.34683(')0.673414(a)-6.01368(p)1.34683(r)-5.91369(�)-1.33213(s)-316.308(l)0.673414(')0.673414(�)-1.33213(n)1.34683(o)-6.01368(n)1.34683(c)-1.33213(�)-1.33213]TJ )0.264661]TJ /BPC 1 q [(S)-6.66273(+)-0.562929]TJ [(u)1.34683(s)-3.1377(t)3.35237(i)0.673414(o)-6.01368(n)-468.408(c)-1.33213(o)-6.01368(m)2.02318(p)1.34683(l)0.673414(�)-1.33213(t)3.35237(e)-483.132(d)1.34683(u)1.34683]TJ /R48 6.97385 Tf Q 0.12 -4.8 Td /R19 9.96264 Tf 1 0 0 1 274.2 18.48 Tm q 28.2 0 Td /R27 9.96264 Tf /IM true q )-360.678(S)1.3483(i)0.671944]TJ [(e)-4.75507]TJ 3.84 7.32 Td [( )-5.92546]TJ /R19 9.96264 Tf [(h)-2.15992]TJ /R50 6.97385 Tf 7.68 1.44 Td [(4)-6.01368]TJ 1 0 0 1 87 499.08 Tm /R48 6.97385 Tf [(r)-1.07125]TJ -195 -11.88 Td /W 1 7.44 -1.44 Td BI ET /IM true /W 1 /R48 6.97385 Tf -2.52 -0.24 Td <> /R46 9.96264 Tf [(A)1.99084(. 250.68 0 Td [( )-5.92546]TJ [(=)-5.89017]TJ /R48 6.97385 Tf /R46 9.96264 Tf [( )-5.92546]TJ /IM true [(c)22.7571(h)1.3483(a)-6.01515(m)2.02392(p)-323.867(�)-1.33286(l)0.671944(e)-1.33286(c)-1.3336(t)3.35237(r)-5.91517(i)0.671944(q)-2.33195(u)1.3483(e)-326.549(e)-1.3336(t)-333.908(l)0.671944(e)-326.549(p)-22.7417(o)-6.01515(t)3.35237(e)-1.3336(n)25.4383(t)3.35237(i)0.671944(e)-1.3336(l)0.671944(. 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