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30 Apr 2020
The graph below shows the change in pressure as the temperature increases for a 1-mol sample of a gas confined to a 1-L container. The four plots correspond to an ideal gas and three real gases: CO2, N2, and Cl2. (a) At room temperature, all three real gases have a pressure less than the ideal gas. Which van der Waals constant, a or b, accounts for the influence intermolecular forces have in lowering the pressure of a real gas? (b) Use the van der Waals constants in Table 10.3 to match the labels in the plot (A, B, and C) with the respective gases (CO2, N2, and Cl2).
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZ8AAAEzCAMAAADZ4v4zAAAABGdBTUEAALGPC/xhBQAAAAFzUkdCAK7OHOkAAACEUExURf///+zt7OE4Pjo2N1GIOPXz8wNNhb29wGxtcPr6+szLy+Hj5dvc2iomJ5OQkUZCQ1JPT2ViY3Z0dLGvsM/W1J6cnX99faalpXSgYMDLxrm3uIiFhkp/qONITSFilO+Ul1xYWHuiv6nEnfjU1elucpGzgqC80fK1t+Ps3uJZXtCPkqxbX/EBRjkAABr5SURBVHja7J0Ne5sqFMehhCK+g29T21u3bl23fv/vdwFNmkbQvJmgk2fP3XZTZuqvnPw5/3MQgHWsYx3rWMc61rGOdSxl4NyhgARiRN56N+wbFZJ8eJIkFV7vhnXDC5nkk613wspBC9dRfEjm0vV2WDfcAjuciiDXxAFv45uzjsnH0eIg9Kjk4/mAhkG58rGMT9FwjlDuyz/7KGn5nL8aydym3umyR9/iMsuyKM48+dHjR+7KxzI+UiEI/eaHAlAR0pWPdXzSGqHQ5yysMwxWPtbxoZiKX9h18TmLb+UzeXy77uR7jJXPymfls/JZ+ax8Vj6z4AMrt68U0wSufO7IB4YoaFNFOEN1LxuesiD9N/i8vti5fqgTdysEN30+gKB/gg9+eXj4bScfvvIBv58fHl6ozXy8sHFUfINFzcXnEK1YE+J9Pn7GOXE9ERFjJr/NNMy5uwg++OfDw8/Xe3/+BPuj/T+ffCrHx1kg+HhNBSrkgiSEifQudnzcxsNOwF1aE5hHnvhCH1TFEviI0Pb821r9pvh4cdLFt1D+LQoBxgA24ScfWjcYJMgTC4wCVwB0UYYxnD+f1z9i8cg8Jsy5tXzkDVd8qIN4XedERDFeR4LXbv2EyKehdNNTznNEAM6DgJG585G64I8KbSJ6YHv5BGL9wFjw6dQCdhxM2T4fXMd1gaUjmABf8KEUJs351Xd28NnpAjdufIv1NYzFf6ogpyCRpMS9F6zSL+sHOqQTdC4tAgJS8XVlA+fMB251AXRQZfH+tPZAiYI4bKKEirDFOPdpHTRZE7lif8rbH6wUBQhFGfXiwCkC7pEozPic4xv91AVpTYGlfICy+sS79aBYNvJteqUMWt3fafuqGCUvSOWI1UR9DOQXwtLFYL58pC54kd+AN/ktBjfIj8JYauk0utZu9c58droAOhFeAh8sxTbIcrwIPltdQEMU0kWsH+A7ebYrR5k3n9etLiCIwdvc4lv4P/SarRL347PTBZhF5Fa3+DI+1Hc9eiMw9+az0wUAVBTMgA+tGA9rNhCISQOXwifZ6oIkvekSuEBf80YpTHM3EeVBshA+ShdIHRrHc+GTdQkCz/iGUx4zvAQ+ShdAmaoK+ol3/GZn/mD/3mutHRpWReDOn4/SBX/FHwpdJvTt8TG9L5/H/pDLBvHd547e2vE49KKczp3PqwxtWEzNNaHNe3p8fPJs5OPv8dFbO0UmwCF/3nykRSp1gZjaXzv0++Pjf2/A0vimDAU3R0Im6KwdyJjjsCCbNZ+tLggbzYvlf4+P3zGwkw+tg6rN3zhUa+1UMreLWQzny0fpAgHAjVhfF0AR2v5Lp7zFl02GsfROFR+dtYNbDyEJqrnyUbrgVZk8pD9V6ILH71bvT2GIWJjlsdba8fIgFwvJz4OomiefVhfITmq5AT+Y6ktdAK9/i9X5LqDKHeZfAS71iAvbPE/P2sHKFKLtb/PjsyudIg7sTcVSF5RTLAF1vkvJIA27z4W1Pl47Xp5VKhRqp75JXUCnCFHqfBfKaymHy5XPiC4QoQ32p0pd8HTKruH4W9ye7wLjTG4vi5WPIbR1ukDEGs36EaHt8e2kqx5/i9vzXWAk0MCo3Zg4ZGhMfa9tHH+FLvhLSBGhsP9iIULbU3LaP3jq+S5ey+ca62fE/5nh+ul0gdjdZf2pp+mCk9dPd76LK5cOjC4+32XQ/xHiGzlsP0LMgs+udCqD/akn6oKT+XTnu/hNTq9wvsuI/4MbJk9qDOfEpyupdn3d1GNSoRfra3m+CwgbDKrOHZjM/1F8fJTNh09XOgVlJrG/MTldF5zBR53v4kHGM+ZeuD8d838kHxqy+cS3rnRKX+6eSl1wptd48vku8mMdHz/5oT/AuP+DG8TjOJmLf9qVVJOIaYLb0anQu+Tf9HzG/J/282f/iyzmsy2dqrXl7jIV+kSBrXxM8W3Y/1F8KEfeDPh8llRrKLS6YOCy779s5DPm/3R8Img9n04XuFqpubVIzUvvx2ZTWsgHjPk/ko87A/3W6gLIIl0py84iNV02/bbZ/LKyf27Y/xFoEGNNQi3n05ZUy3J3MKgLDEvv12bzzdL+OTDs/3w2AFnMp9MFRJ/n2LdItZctN5vND0v1wb3GNfl0usDVhrb0i0Wquey7CG3f3sHKZyI+ny3Yush1kArtX1bogk05+S3+d/m0pVOJfgPQS4UeXtYf1wUrnwvmtiXVaRzrQpvXt0hJXxekt7jFk/o/OE3tzL+1ugDnSHvOjC4VSnq6gALL+Yz0/4iXnTCPI9c+Pm3plOHgD5UKhQOXxUfqgjvzGfN/eCwjBA1T2/hsS6pz3cYFP+ktUnK6LrgznxH/J0PtwnFtq+9VugAa3pXRIiX7ugAC+/mM+D9wgtasa/BpdUGob+wbsEjby8pk27f0Zkvgkskj/o93fWfhCnzakmoSMR0EOmSRqsumJ+mCW/HZ9AcY9X98WahqGx9ZOvXiGbrjy0GLVEyBv07TBfflM+L/dC/bxKctnUoM9UYjFilRuuDHTUPURZNH/B+qa6W9K5+upFqvV0a7RRIpqiGYDx8w4v/AJijUqVZ26DelCzJDu/9o6ZTUBZv05rcYTOj/AFgHiHHGPQv4qJLq33UwaJGaR3p8ss2q/M6Q/6N+LkvXivyO2vIkyElMumCwi1Ql24o73eJ/ID+qdIErM6FErwueBiNXa8Ktzy+Zio8Kba5SK/2538d0wXunC1Y+0/DZnlKNdXP1qdBDXVBeuO1a+Qzqgj9/dzuxAxNntFtkz4Rb+UzAR+kCByXauaPdIl+Kc2bIx/bna6qS6hDtmTzkhC3PgQm38rny1PbUqa/l7mR/yzPcLQIPTLiVz3WntqVTB895IMfqgr4Jt/K55lSlC34b5pos0gNdAMHKZ6KpUhf8jQr9XJUKHdQFOhPuJnzSJkCZ7AoVo2szWCAflQrVmjzkGF2gN+FuwQc7hSddAcKTJKnwMvkoXfChLXcHZDwVajLhJuHj11EQILZtMvQSCuThB/sVN0vjo/IFprb+76NdpEYTbgI+OEcsLIqMR3trPWWe4EMyly6RT1tSTfQld+NdpO9mE+76fCAPt5dKnaLFkWayI6dCTRzwLr6RBQ1ZX/BhelFueZ6GZleCzqa4/rsy8El3PyoupGVr07hVhnLq+fJopnJp60fqgj9RbQj1UhcMnpY+bMJNpA/8pCgKvreHpnVbsO+jZFl8Wl0Q60MbbnUBGdEF/iTveOAWF+qZpVF3XU/+dGSRqmi//HwXu/hIXfCBDAtka5GS4WTbRO/YfIsx+1IBLksHMS98WWBUdFVGy+CD29CGjbqgtUjJ6bpgUj60LdaAnVbzo7yoE0o5C3cPTFoEn7bVyrDr3LNI9Zelx1S8TxPfUinhaLaNq9hNqfrts4pjAXyULjB9dHxJhRJjsg2Du/BxI/n5M3TG/uz5KF3QGHqQDixSzWWP6pCfLL6xuChLki+Yj2y1+nCO7BYhel1AwZ34dP6HD5fKR+mCxtCh10+F9h6ifXwn3DTxLVF5g8pbKB+hC54/DCfI6CxS0k+2ldO/44H4FqKYMRYvM75tn14xrgu0lz2tE26a9RPGnHNnkXxUSbXpdFODRbrf5HtiJ9xE+k2FZrLA+KZ0gQmPySLdS+Of2gk3ER/5z+IULI2P1AXPOTxWFxxe9oxOuGn4VHJfAFm6MD4qFeqadYHJIiWfuuDH7d6x6RZD3sSRlAdDD1GcIR9lkZrO/RvsIlWXfT+rE26K9VM4TeSIUdAF8amGTp0asUjJ+Z1w08Q3SOj5k63kI1OhH3RIFwxeVppwPzCwhU/3I7cY/SZLqp9NLmg6WjqVHJlsuxkfj0dIjKXsf5QuMCwePP4s0vLcDvnJ8gdOlOfFZ53IvPlIXfDHN0x9G30W6fv5HfJgsvyo62XUy/AC+LStVoap412kShf8uss3O5R/83HtY7YAfd09vUI/dbSLtDPhiGV8gOv4xRI+f15/7kR1f+p4t8jWhLOOj1xDVe3OXF+3rVaGqUc8c2xnwlnF58vBKh6eL59tC7Z26vgzx/Y64azi4+9OWgEwDGfLB+8eCaeZesQzx/ZNOLvim8/ikKS+WzhRRuca33a6QDN1vIv0wISz7POHJo0q36lnmz9Qoc3UaHiELjgw4SzUB3Dk+aQ286EHoe3L1P/ZO/d2N1UsDsPjOARUvOBlop05tqedM6f9/t9vRE22JgJKTMK2i6dP9x/t2qBvJD/XjRVnjt0F4VzUb88zfvbVznXBjamxinQpOQf47Gfqf1+OI5ANuuDbWz0eh+YzpFQvm5qrSHtn2w+MgM9zTJe3ttHU2FBPGYRzj09YEOTjT8ZnURdchjDrAqYKwjnHh0RRRnHzueIL/damej7MrlBNJZxrfGhZY04pP38iPipdMCjmL6ZXHm0QzjU+fuFLPtklIjz2D0F1ebr0dXKNj+xS/YfqcqQu+GrUBeognHPPT0Uw94V3ObJ87B9yTjHlY1NBt/hoU6qHECkx6YLzWz0e27aooPUiLyrH97ixfwjNGnlcgnv19X1WqGprC8YQqWZWYyWce/qgKrKynr5m52mAk0KeL1K5xufOFXqrC/6rnXVFJZxz3z9pfwjPxzmxff8QLDtv4XjIwHSmf4iQ2R9C8Y9Vt7X9R2jtf8j8gtrFria656eUfKrLp2roHxIOfNx6fn5qXnlm1SLLs+JVlXDO6YPGi5Ikief9Q5h8dHDsUv8QWS2i1wX6Rq0rK+Gc+/7hbdmNdt4/JGw7weBS/5A+RKrVBYF21tVnxTrHZ+iRdKnPGvuHUN76qE6d6c/3U6ML7kOkZFEX5K9+4nfyvw2fr/GFbewfgnCaFZecuLfzqaUrVPXwnO9DpHc9+jdUwjn3/cNqOcqb/iHy2F/fDf9O8EujCxZDpMRCFzjLJ4uc7h9CuVYXLIZIya0u+PbqJ37H/U2I3smD3OTj/61xhapCpGTubNt0VqxzfKj8bOLMzfydvwy6YDlESmbOtvzFT/wz9AFuHYwv0MakC7762ln7SjiKPjUfytNuuJgfX2/WBfNZsVUlnHvvp7J/SOlcfnzY2odI+1ktK+Hcqy9hD7887b9kv/mlC5EaskLJA5VwzvHxMQ1K7lh+iE4XmKtISa8L2Ktv8pPyD7Lw5GWlQ/WNeR8irVWvPMbUKVQ9cFasc/EfjoOYI+FMfSPOBl1A1K88esXs21fIu8inwMRjSNSO8OHJqAuI4pXHUC2yvh3lZ/EftF6LgxNxgg+Lr/4Csl0XjP6CfwmEjsOHkirA3I38xNOvj5Tq+yCB8cyxSxCOHImPQ/ptllJ9a2quFrkG4Y7Exxn9Rqp5SjW51wWBWRfkD94o0G/LI0hv/QXEXhccio8L+o1y784VOjE9m3XBrBLuUN8/Dug34v26T6n+qPw3V4vcBOEOxef9+q1ol0qtyHpdcBuEOxSft9dnKVKnBtPQrAvug3CH4vPe+qwq/VPhCu3bPpurSJeSc46lr99Yn8WS5LsqRErQiirS5SDcsfTbvD7rhXz80tOkVJM1umA5CHeo52den/VCPkXU/K1JnfpirCJVBuEO9f0zr896HR+c6lKqV7hC1ZVwx9JvuLqpz3oBH2wOkf7T4ArVnBV7qP2NCPwAXLslc49816RO9SHSWi/KdUG4Q+mD2/q55/MhcarrLtG7QkP91eqTc471/jOvn3s6H5x6PzW64OoKJQZd8D/0W/BZqJ97Kh8e8e+rUqfUV2ushDvU8zOvn3s6H6HVBZMQqepqV1TCHYrPvH7uqXxCNnSXUOqCqSuUqHVB/rwb5RofdntwCUmiuKLSKxdFcbAnn24nrY26INBfLVuVnHMcPkVHQczfVgtyimpEMiFEvWf9qfDKv/5Wp1TfhUiXpMXKSrjD8MFJE4p0+tUTFrK/S0lJse/+lrcJ051qdX/mGNmuCw7HJ8i6WzIPbcvDAhOOSEEKNm4kO/QP4VEpS7B/qhqDyN4fX/W/ouoz28gxh4qPPLuxP2CTTZwILAlR7bVJlO22v/m9LsBrdMHyp3FTJdxxnp8yD/uRNx+bnJ91D1QQIsqjXfpXsVLfjVJx5tjsaredFXscPl40jo/6OZ9fznIMvR36u+DME39qdIEyRDq52q1nxR6Hz0mQvv2ByK79kQrZPZFKRDv0d6m51wQ6f4G6WoTMdMG3F90ox/Tb9Veexw2GVmXOGMvlF1PF6YN8iJeGyi7VSJ86RabONox+Sz73QwzbHctS3lzOpLPmEyZc241SW0VKtuuC34AP9Smlvk99dm3vYslHPntU17LNECLtrza3qoQ7MJ/djGuP9S3btLrgrL9a20o44GPc2dKE+Xa64ONqrc+KBT6Gra3xCplf8O8/FEseQ6T6b0L7s2KBj2FrK/1RFywueU21CF3tbAM+W40Ldk2pJtt1wbA/PlAhD3w0w5e71kdKNVl+5TE8GL0uqN5yow7OR3i8b/F+CZHeLXlFtchYCUeAz97GLElYf3rFX4olr6givVbCAZ+djaUn9PZUK7JVF3wE4YDPvsYiavy7Uqvpku9DpApdgBHw2d84DBdSqslcFxgcabOzYoHPfsa4kX8tpE5dl/x1hS6YB+GAz17GlEecosUQ6bjkfIUuuA3CAZ+djEmcYtVpl/2S11SR3jvbgM8uxjiNSV+CvegKlUte0VBvKQgHfPYwxt0LqabUivSvPCZdsBiEAz67GFNtSjUxn0WqCsIBn4eNA2Y4yHeNK1QVhAM+exhrU6dWuELVQTjgs4PxH4YQ6ZftugD47MpHVWo1hEiJWRecnbpRB+NDFV8uF1eodsn6IBzweZ7xtaEe2a4LgM+zjSchUqLXBRQBn5fzmYZIlf1DzJVwwOcpxnNXqGLJa5JzgM8TjG9DpESpCzACPi/ncxciXVjyLAgHfF7IZyFEer/k1ZVwwGdn46UQ6e2SN1TCAZ9djXtXaGBY8pZKOOCzo7EqRDpb8rZKOOCzPMnQ3wXV5enSuMJsrAyRTpa8tRIO+CyNS3+Xc4opT/AqY02I9GPJ/VmxPgI+j/G59HfJGoqYt6b/AdWFSMlUF4Sf4EY5v78N/V1wUsjuCEMNgba/SyVbs5jarnR0/vGDwNja32V5sCTEcYcGx4UJrilESrbrAnh+TK+ZWd1tcT2fymT8xZAVSuwr4YCPYoOT/V36RwfHxv4uZ0MVKbGvhAM+y3j6/i5+W9Jd+rvYnxULfBbxDP1dfN76qE4f7S/2yFmxwGdpjP1dcpxmRcoecz6sbUcJfLb3d0E0vDZ4seQjdcGPz3ajfpv+LkMQjgAfJ/lcgnDAx0k+1yAc8HGQz0QXAB/3+EyDcMDHNT7zs2KBj1t8boNwwMcpPndBOODjEJ+FIBzwcYfPUiUc8HGFz3IQDvi4wUcVhAM+TvBRBuGAjwN8NJVwwOf9fHRBOODzbj76IBzweTMfQ3IO8Hk7H21yDvB5Mx+aO3i1wMftqwU+wAf4AB/gA3yAD/ABPsAH+AAf4AN8gA/wAT7Ax1k+7HSi3VyySisOgI9jfPymTFPJJxNC1D7wce75oWXPp4D9zW0+pGAU+LjKp/baJMrG/Q3G08dWPkEojy07Ax9H+cgRegLBcG30fKhEdOkfAsMpPlnHJ+QdoIpTuB2ujbDxojLvIPGm8OF2uPf4+LT7g3zGgA4MGNbD517UMkQb6YnL6LShr3HkbeQV3UPIy7TxkYWp1azdmsuT3ayDqc2stzYWphdf57YF12kt4jignAsh2Kyhr/FaT1XQRHVnSnHbUDvTzbPKNXvdTbaY9cN086w3Njamo69z44I7Q1RHhHI2qLpJQ1/TCIRsAlwFCUGIJ4GFqc2snTFPT9Rm1tHUZta5DbEwHX2dG69VNvLt/juj/CyqEM0a+q7ap9KAed3TKrzcwtRqVlrJ2IjVrIOpzaxzm8LCdPR1br7D3eAnn5Zx6kVi1tB3xS0uWkFrL5D7xtnC1GpWVvmnzG7WwdRm1rkNtzAdfZ3Btts0fpC7pePuw5Hk04a+5plZXXilkJ9k4jELU99iVp8HtLvJNrOOplbXOrPhFqZ48HWKTab9nny6+HeK7nInDX3XiROvkneqjm1MA4tZqzbLPK8sLGYdTUPLa/2wqSxM+2sNvc2muJR4ek9c1QbThr5GsPLVtoiJR2xNA4tZz0VRxElhM+toGlrMOr8/ZwtTPPg6N5lKPFmVs3MuavluQNC0oa9Rq3YPqZ9VOOHdHsuphanNrPKKOxFmM+toajPr3AZbmF58ndsWTLO+kW+bJyXvpkfThr5GH15cVk0nlFnCeYZtTAOLWbvvy8bzeGAx62jKLGa9WamF6cXXuW3BqG/i63dmpH/spw19zbYsp5OfFqY2s374DjfPOprazHpjY2F68XVuWjAMGDBgwIABAwYMGDBgrH+/m3SmwSHcD7uRx0nrRW0b13vjaWqRRKl8fY95mEGmn90IC0rTBCOxOfkcZ9pQSlFSJCKGKE8xQizFcK+tPuYhoqeOT7D5/gXaUFeYMHlYGKPSVSe9jZCLaTt6Pt0PwrOKBjw7n1qBm6TBlJRF3bbytPCwKJvAF5ko0gDzpNu2UOg1hHV3n57LgrKmIWk9/Lf+l/aJGCI682ZweVUJPEAP8aFlSf/f3tn0SAjCYFjSEC3foGJGLvz/X7m0OJnN7s3ZSfYAB2NM9dAntNS+BO2dzjY9io3rCg5n791crMOzakxVrxBSNWUW2WvRjNwjg0blE24VUl27GcOOCYlPff7PVzAy0Ft8SNmCKcgTDOkw2tOIMi5IXXxTC04nKOEz/YRG9ramViSJEbArCwSrrsiMklMozCfa0uPa2KvxJp/my1zyLsnjJKUgGT/GTK0tryDkUopmCcy0pZRh/sGnVNmwdrNvfB7OZjn4/Amfrgz7zWdfjO+zgPmYxsW8+BiOZZiJz2U2Xefv8vpg77sEN5iHp9/hY4D8KCeS57z4tPSh44aLbwVmi2zesXQHDzv3I8TnFhUVKUOJz9Ns4k1Ocurr693S2ppAjnFnCAeWYhIl/+VU0eat2PrABLuI1kdS3ZgAKTntbGgrvGCXwyYtY3O8CDa4CsfqwenLjOPZ7DVe9elhvZpcHK3LuyUQN62vzjednstn6NId1mz6shiNEt2S7iVLY5C0QNgKJ+RB3+hm/NG4kjlLaNpV1BHePhD5OP/cG2r5XvCsZZSnH5hZ9T6f6Txe7xo3qtMP4NnBr/cB/ecZ8wXoV2m9EX04lQAAAABJRU5ErkJggg==)
The graph below shows the change in pressure as the temperature increases for a 1-mol sample of a gas confined to a 1-L container. The four plots correspond to an ideal gas and three real gases: CO2, N2, and Cl2. (a) At room temperature, all three real gases have a pressure less than the ideal gas. Which van der Waals constant, a or b, accounts for the influence intermolecular forces have in lowering the pressure of a real gas? (b) Use the van der Waals constants in Table 10.3 to match the labels in the plot (A, B, and C) with the respective gases (CO2, N2, and Cl2).
Tod ThielLv2
22 May 2020