Unit Seven Homework Solutions, October 26, 2010
1 A 600 MW steam power plant, which is cooled by a nearby river, has a thermal efficiency of 40%. Determine the rate of heat transfer to the river water. Will the actual heat transfer rate be higher or lower than this value? Why?
From the basic
definition of cycle efficiency,
![](data:image/png;base64,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)
, we can compute
![](data:image/png;base64,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)
. From the cycle relationship between |Q
H|, |Q
L|, and |W|, |Q
H| = |Q
L| + |W|,
we can write, for heat rates and power,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABAAAAAEaCAIAAAAACrKOAAA12ElEQVR4nO3deVwVZf//cRYFERHDBXdAIRRxzczl1nY1lyyXTDFL06+ZmZlr9c2yu8UlNb1TM7c07XapO800l/suNSvNFldUFMN9CVEBE0Hgd/3gcfPjd84BruHMNWfOmdfzDx84XGfmoxw+M+8zM9eUyc3N9QIAAABgDWVcXQAAAAAA4xAAAAAAAAshAAAAAAAWQgAAAAAALIQAAAAAAFgIAQAAAACwEAIAAAAAYCEEAAAAAMBCCAAAAACAhRAAAAAAAAshAAAAAAAWQgAAAAAALIQAAAAAAFgIAQAAAACwEAIAAAAAYCEEAAAAAMBCCAAAAACAhRAAAAAAAAshAAAAAAAWQgAAAAAALIQAAAAAAFgIAQAAAACwEAIAAAAAYCEEAAAAAMBC9A8A3t7eBV/n5ubqvn7AeLyrURTeGzAJ3ooA5OkcAAo3oPy/0obg7nhXoyi8N2ASvBUBaKL8EiCPbEM5OTmfffbZ2rVr4+Pj09PTQ0ND27dvP2jQoBYtWri6NBjBI9/V0IVHvjfoeO7II9+KlsXpHSsw+KfMPQCanT59ukePHvv37y9YcunSpQMHDsybN2/gwIHiz4CAABeWBwA6ouMBrsXpHSsw/qdMANDm/Pnzbdu2FX/af0v8qJYtWxYfH799+3b2iAA8AB0PMCErZwDrnJBU/VMmAGjTt29fh/vCAnv37h02bNjy5csNKwkAFKHjATAPTkjqiACgwaZNm3744YcSh61YsWLUqFF33XWXASUBgCJ0PADmwQlJfREANFi9erXkyE8//ZTdIQC3RscDYB6ckNQXAUCD3377TXLk7t27lVYCAKrR8QCYBCckdUcA0CAlJUVyZHJystJKAEA1Oh4Ak+CEpO4IABpUrFjxwoULMiODg4NVFwMAStHxAJgEJyR1RwDQIDY29tixY5IjVRcDAErR8QCYBCckdUcA0KBnz55ffPGF5EjVxQCAUnQ8ACbBCUndEQA06Nu37zvvvBMfH1/8sLvuuqtHjx7GlAQAitDxAJgEJyR1RwDQwMfH54svvmjTps21a9eKGhMSEiJ/qwoAmBYdD4BJcEJSdwQAbaKjo3ft2tWjR4/ExET77zZp0mTt2rX16tUzvjAA0B0dD4AZcEJSdwQAzWJiYsRbcOnSpSKMHjly5MaNG5UrV27evHmvXr369Onj7e3t6gIBQDd0PAAuxwlJ3REASqNs2bL/k8fVhQCAcnQ8AC7HCUl9EQAAAABgdpyQ1BEBAAAAAG6AE5J6IQAAAAAAFkIAAAAAACyEAAAAAABYCAEAAAAAsBACAAAAAGAhBAAAAADAQggAAAAAgIUQAAAAAAALIQAAAAAAFkIAAAAAACyEAAAAAABYCAEAAAAAsBACAAAAAGAhBAAAAADAQggAAAAAgIUQAAAAAAALIQAAAAAAFkIAAAAAACyEAAAAAABYCAEAAAAAsBACAAAAAGAhBAAAAADAQggAAAAAgIUQAAAAAAALIQAAAAAAFkIAAAAAACyEAAAAAABYCAEAAAAAsBACAAAAAGAhBAAAAADAQggAAAAAgIUQAAAAAAALIQAUKTU19eDBg4cPHz5z5sz5PBcuXBALb968mZGRIf7Mzs4uX7584H/VqlUrPDw8Ik9sbGx0dLSr/wUAIIuOBwDWQQD4f3Jzc/ft2/ftt9/u3Llz//79p0+fLvElaXnyvz5w4EDhb4WEhLRu3bpt27YPPPCA+EJJxQBQWnQ8wFNVr1798uXLBmzo119/bd68uQEbUqFZs2Y2fUwX3bt3X79+ve6r1R0BwOuvv/7asGHD559/LnaEV69e1Wu1KSkpm/KIr2vXrt2zZ8/evXu3a9fO29tbr00AgFZ0PMCzXblyxZijfx8fn4YNGxqwIRVycnKOHTumYs2NGjVSsVrdWTcAiJ/9xo0bV65c+fXXX4s9otJtnT17dk6eyMjIkSNHDho0qEKFCkq3CACF0fEAizh8+LAxGwoPDy9Xrpwx29LdiRMnbt26pWLNMTExKlarOysGABGOFy1aNH/+fJlT3voSb7hRo0a9/vrrQ4YMmTBhQtWqVQ0uAIDV0PEAS4mPjzdmQ+7yUbdD6v6X3OW/xVoB4MKFC++8887ixYsVxT5JqampM2fOXLhw4SuvvDJ69Gh/f38XFgPAU9HxAAsaOHBgVFTUD3l2795dcN+Ok3x8fMLDw2NiYho2bBjzX7qs2SW6du164MCBI0eOHD169EiehISEmzdvlmJVvr6+sbGxrVu3viePu1wWZZUA8Oeff06ZMmX+/PkZGRmaXujn59euXbtmzZo1aNBA/FBr1KgRlEcsT09PF79XKSkp4k0j3kD79+/XdE2teO2rr74qSvrggw8ef/xx7f8mAHCMjgdYVvny5R/M45V37Z84zP3hv86cOSO5kjJlykRGRuYf5ecf8Yue4EnpvWzZsrF5Ci9MSkoqyAP5X1y5csXhy2vVqpV/uC+O+1u2bBkQEGBI1Xry/AAg3v1z5859/fXXU1NT5V8ldnj9+vXr3r37/fffL36XHI4JzlO7du0mTZoUbOuXX35ZvXr18uXLi3rT2BC/jb169Ro0aNDs2bO5TBaAk+h4AAr4+Pg0yzNixAjx18qVK0uG9uHDh4tfUsXVmU54ns6dO+f/dffu3W3btrUf1q5du++//97Y0vTn4QHg559/Fm/i33//Xf4ljRo1GjlyZFxcXGBgoNbNid+0Vnnee++9tWvXvvXWW8ePH5d54dKlS3fs2PHZZ5+J12rdKADko+MBKEZUVJToEjIjT5w4obqYYoj+8Nhjj+V//dprr40dO9YlZcyYMcPh8gkTJhhciQoeGwCys7PffPNNsVvKycmRfImIfZMnTx4wYIDz89b5+fmJHeqTTz758ccfT5o0SeazsZMnT953333Lly/v3bu3k1sHYDV0PAAlioyMdIsAIFrZ9evX878+dOiQS2pISkr68ssv7ZfHxMR069bN+Hp055kB4I8//ujfv/+ePXskx/v7+4udloiYZcuW1bEMX1/f4cOH9+zZc8iQIRs3bixxfEZGRt++fadOneqqsAvAHdHxAMiIioqSHCkOf3Nycnx8fJTW49C+ffu2bt1a8FfJ84q6++CDDxx+njJ+/Hjji1HBAwPApk2bxL5Q/vrXv/3tb4sWLbrzzjsV1RMaGrphw4Y5c+a8/PLLJX44l5ubK95bycnJU6ZMUVQPAE9CxwMgST4AZGVliQxQr149pfU4ZNMNXBIArl+/vmTJEvvltWvXFv3W+HpU8LQAMHPmTLE7kTwJ7u3t/dprr02ePNmAZ1W++OKLYWFh4n0jM8nUtGnTKlWqNHHiRNVVAXBrdDwA8iIjI+UHiyNv4wNAYmLi559/XnhJcnKyOBwPDg42sowFCxakp6fbL3/55ZfLlPGQI2cP+Wd45c1HMWzYsMWLF0uOv+OOOz799NMuXbooraqwHj16fPPNN507d5aZmO/VV18VFYp/kQGFAXA7dDwAWsmfAfDKuw2gU6dO6opxaNq0afafaCQkJNx9992G1XD79u1//OMf9stFjxo6dKhhZajmIQFA/LTi4uLWrl0rOb5WrVpbt241/mENHTp0WLVqVa9evbKzs0scPGLECPG7+sADDxhQGAA3QscDUAriEDYkJCQlJUVmsPHX3ly8eHH58uUOKzEyAKxevfrcuXP2y0WPKsVsaablCQEgKyurT58+X331leT46OhosS+sU6eO0qqK8uijj86cOXPUqFEljhQhWOzj9+3bFxoaakBhANwCHQ9AqZl5IqBZs2Y5fGy5wVFEtCz7heXKlRs5cqSRZajm9gFA7DM07QvFW3/79u2u3cGI99C33367fv36EkdeunSpf//+//73vw24ZheA+dHxADhD/lEABh92p6amLliwwOWViIbp8FEqgwYNqlq1qmFlGMDtA8Dw4cPl94W1atXatm2bGT5eWrp0aWxs7Pnz50sc+d1334lM/PLLLxtQFQCTo+MBcIZpZwKdO3duUbOZJSQkGFODVxEP//L19fW82YrdOwC89dZbCxculBwcHBy8devWsLAwpSVJqlSp0vTp0+Pi4mQGT548uV+/fjVq1FBdFQAzo+MBcJL8REBGzgSakZExe/bsor5r2BmAY8eObdq0yX557969IyIijKnBMG4cANauXfvmm29KDhYR9rPPPjP+HrhiiD3cggULdu7cWeLItLS0MWPGiPoNqAqAOdHxADhP60RAxgSAJUuWXL58uajvXr9+PTk5uUqVKqrLmDVrVm5urv1yj3n4V2HuGgCOHj367LPPyo9/9913H3nkEXX1lM60adNat24tM3LVqlUvvPBC27ZtVZcEwIToeICN5s2bO1zu8AJuFNAUAI4fP96xY0d1xeTLyclxeOGNTSWqA8CVK1cczkH08MMPF/Vmc2tuGQBu3LjRs2dPh89ocKhr167mTG+tWrW67777tm/fLjP47bffdnhmCoBno+MB9vbv3+/qEtxSpUqV5GcCNWYiIBH4//jjj+LHJCQktGnTRmkZ8+bNc/jQkgkTJijdrqu4ZQAYOXLk0aNHJQeHhoY6fJ6zSUycOFFyd7h582bR75o2baq4IgDmQscDoKOoqKg9e/bIjDQmAEydOrXEMapvA8jMzJw7d6798rvuustTH07ifgHg66+//uSTT+THi32hmWdu6tixY0RERInZN997770ngrLqkgCYBx1PdUmA1cgHAAPuvt20adPBgwddXsmnn37q8CYET/3438vtAkBKSoqm5zD369fPhBfC2hgwYMDf//53mZFffPGFeINWq1ZNdUkAzICOR8cDdCc/EZDI6qpnAhU5X2aY6gAwa9Ys+4X169fv1auX0u26kJsFgJdeeunSpUuSg4ODgx3+RM1m4MCBkrvD7Ozs1atXe9iz6AAUhY5HxwN0J38fcFZW1qlTp9TNgPlDHpmRSi9G2rx5c3x8vP3ysWPHevBDCd0pAIh3yYoVK+THv/POO27x0ZGImDExMQ7ffPZWrlzJ7hCwAjqeFx0PUEDrTKDqAsCUKVMkR6anp1+4cEHR40EczkEk2ukzzzyjYnMm4TYBICcnR9NuoEGDBsOGDVNXj746duwouTv8+eefT548acy8vABchY6Xj44H6E7+EiCvvGtvHn74YRVlHD58WNNMX6ISFQHg4MGD//nPf+yXjxo1yt/fX/fNmYfbBICFCxfu27dPfryIlb6+vsrK0ZnYHX7wwQeSgzdv3vz888+rLAeAi9HxCtDxAH1VqlSpcuXKV65ckRms7tob0bUcPnWrKCIAdOjQQfcyHH78HxQU5PFtxz0CwK1btySvGc3Xrl27Rx99VF09uhMFe3t7S/4m7Ny50+Pfl4CV0fEKo+MBuouKipIMAIruvj116tTq1as1vURFJRcvXnQ41dj//M//BAcH6745U3GPADB//vzz58/Lj3/zzTeV1aKEyJoREREnT56UGfz999+rrgeAC9HxCqPjAbqLjIzcvXu3zEhFZwCmT59++/ZtTS9JSEjQvYx//OMfmZmZNgv9/PxGjx6t+7bMxg0CwF9//SV/m4jQpk2bBx98UF09ijRt2lRyd3jhwgXxC6npGj4A7oKOZ4OOB+hO/j5gFTOB/vnnn0uXLtX6Kt3PANy8efOjjz6yXx4XF1ezZk19t2VCbhAAFi9e7PDpDEV5/fXX1RWjTuPGjb/88kvJwYcOHWJ3CHgkOp49Oh6gL/kAkJmZefr06fDwcB23Pnv2bHHwrfVViYmJOtYgiBBy9epVm4Xe3t7jxo3Td0PmZPYAkJubO2fOHPnxDRs27Ny5s7p61KlTp478YN1/DQCYAR3PIToeoC+tEwHpGADS09PnzZtXihdmZGScOXNGU+sohmi2Dqci6N69e4MGDXTZhMmZPQB89dVXmlr/iy++qK4YpWrVqiU/WOkTMQC4Ch3PIToeoC+tjwLQcSbQjz766Nq1a6V7bUJCgl4BYP369Q4by4QJE3RZv/mZPQBo+jDsjjvuGDhwoLpilNK0O+TzMMAj0fEcouMB+goODq5SpUpycrLMYB0vvs/KypKfAthhJXrd8jRz5kz7hX/729/atGmjy/rNz9QBICkpafv27fLj4+LiAgIClJWjltiXyw++ePGiukoAuAQdryh0PEB3kZGRkgFAx1Nwy5Yts5/iLCgoKC0tTeblekWRvXv37tq1y365dT7+9zJ5AFi+fLmmh0QMGjRIXTGqadqR37hxQ10lAFyCjlcUOh6gu6ioKINnAhX9bdq0aTYL/f39X3vttYkTJ8qsQa8A4PDhX40aNeratasu63cLZg8A8oObNm3avHlzdcWopml3mJ6erq4SAC5BxysKHQ/QnfxtACdPnhTH7t7e3k5u8fPPP7fPEs8884z88311eRTA6dOnv/jiC/vl48ePd37lbsS8AWDPnj2Ss0Tni4uLU1eMAfg8DLAyOl4x6HiA7uQnAsqfCTQsLMzJLU6dOtVmia+v77hx4+SfuavLQwlmz56dnZ1ts7BOnTr9+vVzZrVux7wBYN26dZrG9+7dW00hBrF/OxYjIyNDXSUAjEfHKwYdD9CdpomAjh8/7mQA2LZt22+//WazsE+fPvXq1RNfVKpUSWZqoKysrKSkpPyXlE5aWtqiRYvsl7/88stlypj3kFgF8/5rv/rqK/nBLVq00PcpFca7deuW/GCrvU0Bj0fHKwYdD9Cd1plAH3roIWc25/AB5wWX/oti9u7dK7MeEUWcCQALFy60v+E4JCRk6NChpV6nmzJpV01MTDxy5Ij8+J49e6orxhiZmZnyg/38/NRVAne0fv36xx9/3NVVGKpr164bNmxwdRX6oOMVj44H6K5ixYqGzQQqDu6/++47m4WPPPJIkyZN8r+OjIyUDAAJCQmdOnUqXRnZ2dkOp1p+/vnny5cvX7p1ui+TBoDNmzdrGt+lSxdFlRjm+vXr8oPZHQKehI5XPDoeoEJUVJQxM4G+99579gsLz/wjfzrCmSjy+eefnz592mZhQECA+z5R0RkmDQA7duyQH1y9evVmzZopq8UgV65ckR8sgru6SgAYjI5XPDoeoII47P7pp59kRjpz2H3s2LH169fbLGzbtm379u0LVyK5NmcqcTj756BBg6pUqVLqdbovkwaA77//Xn5wx44d1VVimJSUFPnBlSpVUlYIAKPR8YpHxwNUkJ8I6I8//ij1TKBTp061f8KJzcT/BgQA0WZ/+eUXm4W+vr5jxowp3QrdnRkDQEJCwqVLl+TH33vvveqKMcy5c+fkB2t6iCYAM6PjlYiOB6ggf9h969at0s0EKn7TV65cabMwNja2W7dupavk1KlTWVlZZcuW1VrJzJkz7Rf26dMnIiJC66o8gxkDgOSj6QrIP0LCzOyvSytGaGioukoAGImOVyI6HqCC1omAShEAZsyYIY7XbRZOmDDBZokI+SEhITInBrOzs0+ePBkdHa2pDFG8w0kjrPbwr8LMGAD27dsnP7h69er169dXVotxzpw5Iz+4Vq1a6ioBYCQ6XonoeIAK8pcAeeVde/Pggw9qWv/Vq1cXLlxoszA8PPzJJ5+0HyzSyJ49eyQr0RoAZs2alZOTY7OwY8eOHnA/VamZMQDs379ffvA999yjrhIjabrFnt0h4DHoeCWi4wEqVKxYsWrVqn/++afM4FJMBDRnzhz7x3iPHTvW19fXfrCmAKCpDJFDli1bZr/c/kSEpbh9AGjRooW6SoykaRZw55/IDQ/To0cP+4834BboeCWi4wGKiMNuyQCg9bD7r7/++vDDD20WVqtWbfDgwUVVIrlmrZXMnz9fFGOzsGXLlvfff7+m9XgY0wWAy5cva5odwjN2hyKein+4/HhN1+0BMC06ngw6HqBIZGTkjz/+KDNS6xmAhQsX2s/2O2rUqHLlyjkcL/9rnpCQIF9GVlaWfQ7xsvbV//lMFwBOnjypaXzTpk0VVWKkQ4cOyQ/29vbWdN0eANOi45WIjgeoI3/YLZqV/Eygt2/ftp91Jygo6Pnnny/qJfK/5prOAHz22WcXL16031avXr3kV+KRTBcA/vjjD/nBgYGBtWvXVleMYeznpi1GnTp1igrQANwLHa9EdDxAHU0zgZ45c6Zu3boyg1euXGl/o//w4cODg4Odr+Ts2bMZGRmSbcHh7J9jx44t3TMNPIl7BwCtt4Gb1t69e+UHe8ZHgAC86HgS6HiAOppOr504cUIyAEybNs1mib+//+jRo4t5icgGVapUSU5OLnHlubm5iYmJjRo1KnHkv//974MHD9osDA0Nffrpp0t8rcczXQDQNDfcnXfeqa4SI2n6PMzKs1YBHoaOVyI6HqCOphtsjh8//sADD5Q4bN26dfZ3+T/zzDMlPtBDFCMTALzybgOQCQAzZsywXzhq1CiRRmS24tlMFwAkf/b5PGNqiAsXLmi6t6Z58+bqigFgJDpeieh4gDpBQUG6zwQ6depUmyW+vr7jxo0r8YUiAPz0008ym5C5DSA+Pn7Lli02C8W/d/jw4TKb8HjuHQDq1KmjrhLD7NixQ9P4tm3bKqoEgMHoeCWi47mLyXlcXYWXj4+PYdt6I49hm1NE35lAt2/fbj+df+/evevVqydTiUwZkpU4vPp/2LBhxdyHYCnuHQA84344TbvDyMjIatWqqSsGgJHoeMWj4wGqicNuHWcCnTJliv3CiRMnSlYiM8xLIgBcvnx55cqVNgv9/PxeeuklyU14PNMFgGvXrskPrlq1qrJCjLN582b5we3bt1dXCQCD0fGKR8cDVJO/D7jEaYv37du3detWm4WdO3eWvJVfx0cBfPjhh7du3bJZGBcXV7NmTclNeDzTBYCMjAz5wSEhIeoqMUZ8fPypU6fkxz/00EPqigFgMDpe8eh4gGryh92iX505c6aYaxEdfvz/yiuv6F7JxYsXb9y4ERgY6PC7os6PPvrIZqG3t7fMfQjWYboAYJ/YiuEBu8ONGzfKD/bx8enYsaO6YgAYjI5XDDoeYACtEwEVFQASExM///xzm4Vt2rSRP49XoUKF0NDQS5cuSVZS1BRhy5Yts7+68tFHH23QoIFkJVZgugCQmZkpPzggIEBdJcZYt26d/OCWLVtWrlxZWS0AjEbHKwYdDzCA1kcBFDUT6LRp03JycmwWyn/8n0+kEecDwKxZs+wXTpgwQVMlHs90ASArK0t+sJ+fn7pKDHDmzJndu3fLj+/Ro4e6YgAYj45XDDoeYICgoKBq1apdvnxZZnBRd99evHhx+fLlNgtjY2O7deumqRiRRnbt2iUzsqjbAL7++mv7b7Vv375169aaKvF4pgsA/v7+8hfFuvvucM2aNbm5ufLjn3jiCXXFADAeHa8YdDzAGFFRUZIBoKiJgGbNmmV/QWMpPnR3fiIghw//4uN/e6YLAIGBgfK7w6ysrLJlyyqtR6lVq1bJD27WrFn9+vXVFQPAeHS8otDx3I7Bk+IXNd+//VUoKFFkZOQPP/wgM9LhYXdqauqCBQtsFoaHhz/55JNaK3EyAPz+++/2Ew3HxsZ26dJFayUez4wB4MqVK5KDxY7TfXeHBw4c+PXXX+XH9+/fX10xAFyCjlcUOh5gGPnDboczgc6dO1dkAJuFY8aM8fX1VVeJwwDg8OP/8ePHay3DCswYAOQH37x5MygoSF0xSi1atEh+cJkyZQYOHKiuGAAuQcdziI4HGEnTTKBnz54t/FBCsWT27Nk2w6pWrfrss8+WohL5O5KTk5OvXbtWqVKlgiXnzp1bs2aNzbC6dev269evFJV4PNMFgNDQ0CNHjkgOvnHjhtJi1BG/MPbPqCtG165deRwm4HnoeA7R8QAjaZoI6Pjx44UDwJIlS+zvHxg1alS5cuVKUUlgYGCNGjUuXLggWcndd99d8Nc5c+bcvn3bZszo0aNLcSLCCkwXAOrXr799+3bJweItEhERobIcVZYvX3716lX58cOGDVNXDABXoeM5RMcDjKTpUQAnTpy4//7787/Oycmxv+omKChoxIgRzhRTigCQnp7+8ccf2wwICQkZOnRoqSvxbGYMAPKDz507p64SpT744AP5wQ0bNuzcubOyWgC4DB3PHh0PMJjWJ3AVfL1q1ao//vjDZsBzzz0XHBxc6mJEANi5c6fWShYvXnz9+nWbASKHlC9fvtSVeDbTBYB69erJD3bT3eE333xz9OhR+fEvvfSSsloAuBIdzx4dDzBeZGSkZAAoPBPo1KlTbb7r7+8/evRoZyqRPx1RMN9/Tk6O/X0IAQEBI0eOdKYSz2a6ABAbGys/uKhZYE3u7bfflh8sQvlTTz2lrhh4hvXr1z/++OOursJQXbt23bBhg6urcBYdzwYdD3AJcditdSbQTZs2HTx40Oa7Tz/9dPXq1Z2sRHJkQSX/+te/kpKSbL47ePDgKlWqOFOJZzNdAIiJiQkJCUlJSZEZvH//ftX16G7r1q0//fST/PiJEyeW7k4aAOZHx7NBxwNcohQzgU6ZMsXmW76+vuPGjXOyEvk7kgsCwMyZM+0rGTNmjJOVeDbTBQChbdu2X3/9tcxI++hpfpMnT5YfXKNGjeeee05dMQBcjo5XgI4HuIr8YffNmzfPnj176tSpXbt22Xyrd+/ezj+/T1Ti7e0t89Tw69evJycnixiwe/dum2898cQT4eHhTlbi2cwYANq3by+5O0xLSzt27Fh0dLTqkvTy5ZdfavowbNKkSf7+/urqAeBydLwCdDzAVbROBOTwkVsTJ050vpKAgICaNWtK3vIkjv55+FfpmDEAdOrUacKECZKDt23b5i67w6ysLPl/l1fexcFMXwV4PDpePjoe4EKaHgUgsv2mTZtsFnbu3Llp06a6FCPSiGQA2Lx587p162wWiqaqVyUezIwBoEmTJg0bNpR8OM7WrVtfeOEF1SXpYu7cuYXvnS/RzJkzfXx81NUDwAzoePnoeIALaZoJdN68efaX6Ojy8X8+EQAkH5Ayffr0nJwcm4V8/C/DjAFA6Nev36RJk2RGirfIrVu3zH/WWGTZN954Q358z549H3roIXX1ADAPOh4dD3A5cdgtGQCys7NtlrRp06ZDhw46ViI5MiMjw2ZJy5YtC55ThmKYNAD0799fcneYnp7+1Vdf9enTR3VJTnrhhRfS0tIkB1eqVOnDDz9UWg8A86Dj0fEAlxOH3fb39UrS8eN/L403JNjQdOWhlZk0ANSrV69jx45bt26VGbx8+XKT7w6/+OKL9evXy4+fPn26k9Powmp69OhhfxoU7oKOR8cDXE7TbQCFNWrUqHv37jpWUuoAIF7Ys2dPHSvxYCYNAF55aVJyd7hly5YLFy7UqFFDdUmlc/bs2WHDhsmP79at27PPPquuHgAmRMcD4FqlPuzW/UP3+vXrS84EamPs2LHihfoW46nMGwDuu+++e+65Z8+ePSWOvH379qxZs6ZNm2ZAVVrl5OTExcVJPuVHqFmz5tKlS5WWVFjVqlWvXLni5Ep27NjRvn37EoeJ4xXJiwuL8csvv7Ro0cLJlQAmRMczQIMGDRISEpxfT+vWrX/88Ufn1wOYSukCQFhYWL9+/fStxN/fv06dOqdPn9b0qurVqz/99NP6VuLBzBsAhP/93/+VPKm0YMGCV199tVKlSoor0kz8E77//nvJwb6+vitXrqxcubLSkgqkp6c7f/TvlXf1Qoljbt686fzRvxAREeH8SgBzouMplZWVlZiYqMuqYmJidFkPYCqluwRo7Nix4ndZRTFaA8CoUaP8/Px0r8RTmToAdO3atXPnzps3by5xZFpa2rRp0959910DqpK3YsUK+wdlF2PGjBn33nuvunpsXLt2rUmTJkePHs3MzCzdGu64447GjRvXqlVLZltNmzY9cuRIqbcVEhLSvHlzscXSvRwwPzqeUn/++WdsbKwzXUgIDAzMv2FDx8IAkxBv7+rVq1+8eFH+JVWrVlV0CV9UVNS3334rP75ixYrDhw9XUYmnMnUAEObMmSMOMW/dulXiyFmzZol3ofPPoNbLjz/+qOmhNkOGDHnxxRfV1WOvdu3a+/btu337tsgABwo5f/68w/Hi4DsmJqZRnvwv5O/bq1Gjxu+//56dnW2zraKe9FF4W/lCQ0NL+e8E3AcdT52aNWvmd6Fjx46J5nPw4MH8P4v6lDEoKEj890b+lzgcEX+a9tYLQBfifa4pAIwaNapcuXKKKtE0ftiwYSIDqKjEU5k9AIiGO27cuLfffrvEkWKXKXYnGzduNKCqEondTLdu3WT24vkeeuihuXPnKi2pKGXKlInN079/f6+8y4srVKhg/wlZ2bJlRVMQfzqzLV9f3/yj+fzrBXNycsS27Cfx1WVbgDui46kmulBMnieffDJ/iQgG9kc83t7eZ8+eFRnA8AIBVxItSP4qPvELMmLECEWVaAoAfn5+L730kqJKPJXZA4Dw+uuvb9myZe/evSWO/Oabb+bPn+/yc0CHDh3q2LHjtWvXJMe3bt163bp1JjneLeqKoOjoaN0rTEhIsD/6V7QtwF3Q8YyUnJzs8PPOsLAwjv5hQZoOu5977rng4GAzVDJgwADOzmnlBgFA7CdWr17dokULmR3MmDFj2rVr16RJE/V1OfbLL7907dpV/uZaUeqmTZvKly+vtCp5Bw8edLhcxX+pkdsC3AUdz0j79+93uJwuBGuSP+z29/cfPXq0ukrq1avn4+Mj83wbb2/vcePGqavEU7lBABDCw8OXLFki83CHjIyMHj16/PDDDzVr1jSgMBvffPPNE088cePGDcnxrVq1Ei8x1VQeBw4ccLi8cePGbr0twI3Q8QxTVBciAMCa5CcCGjhwoNLn9/n5+dWtWzcpKanEkaIHRkdHq6vEU7lHABAee+yx6dOny4S8U6dOdezY8fvvvzd4xpg5c+aMHTv29u3bkuPvvffeDRs2VKhQQWlVWhm5O2TXCxSFjmcMuhBQmGQA8PX1HT9+vOpioqKiZAKA7o8hswi3CQBeeSe7r1y5IjPNXHx8/H333bdx48batWsbUNj169cHDx785Zdfyr9kwIABixYtMuGEtVwCBJgEHc8ABACgsMDAwBo1aly4cKH4Yb169TJgCjIRALZt21b8mA4dOtxzzz2qK/FI7hQAhHfffTc1NXXevHkljhQHl61bt96wYUPz5s2VlrRly5bnnnvu1KlTkuN9fHzeeecdcwbWa9eunT171n75HXfcITPZvyZpaWkO/9NUbAtwU3Q8pXJyckR2sl8eEBBQukeiAh4gMjKyxAAwceJEAyqR+TU0Z29xC24WAIQPP/wwNDT0jTfeKHHk+fPn27Zt+/e//33MmDHe3t66V3L58uXRo0f/85//lH9J9erVly1b9vDDD+tejC6MvChfHK/k5uYasy3AfdHx1Dl27JjDqUsbNWqk4j8QcAvisLv4mUA7derUrFkzAyop8XokccDwyCOPGFCJR3K/AOCVN01eWFjY0KFDs7Kyih8pmvv48eO/+uqrWbNm3XXXXXoVcO3atffff3/27Nnyd78JXbp0+eSTT6pUqaJXGbrj+h/AhOh4inD9D2CvxM/dX3nlFZNUYsB9CB7MLQOAV97t5/Xr1x8wYIDMmehdu3a1atWqT58+r732mpMfMJ88eXLhwoULFiyQn/RaCAkJmTZt2uDBg53ZtAGYAggwJzqeCkXNAUoXgpUV/7l769atO3ToYEwl9erV8/X1zc7OdvjdunXrFjzOD6XgrgFAaNeunWjfw4cPlzklnZubuybPPffcM2TIkG7duoWGhspv68yZM1u3bl21atW3337r8MKVYsTFxc2aNcvMH4MVMPLzMM4AAJrQ8XTHGQDAXvGfuxtz9X++MmXKhIWFnTx50uF3X375ZREPDCvG87hxABAqVqy4cuXKRx99dOzYsefOnZN5yZ484ovY2Nh77703JiamQYMG4eHhQUFBFSpU8PPzS09PT0tLS01NTUxMPJrnhx9+OHbsWCnKEyl56tSpbnR/+uHDh+0Xent7i/8r3bflMAAo2hbgGeh4+iIAAPaKOQMgGojoP0YWI9KIwwAQEhIyZMgQIyvxPO4dAPL17dtXvCOnTJny/vvv37x5U/JVh/IoKknsAidNmuRe96aI3zFxKGC/PCIiIjAwUN9tnT59+vr168ZsC/AwdDxdFDXpWY0aNSpXrmx8PYBJlC9fvqiZQI2fckcEgC1bttgvf+GFF8zzQHE35QkBwCtv1rbJkycPHTp02rRpS5cu1XSnmo58fX0fe+yx0aNHt23b1iUFOIPrfwB3QcdzHh//A0URh932ASAsLKx///7GV2K/UBz6jxw50uBKPI+HBIB8tWvXnjNnzltvvfXRRx99+OGH58+fN2zTsbGxAwYMiIuLc9857Is6KDfyDmB2vYA8Op4z6EJAUcRh986dO20Wjhkzxvhr7h0GgMGDB3OaznkeFQDyVapUaeLEiePHj//uu+9Wr179r3/9KyUlRcWGfHx8WrVq9cgjj/To0cMD9hlG7g6ZAgjQCx2vdAgAQFHsbwOoWrWqS665tw8AIoSIKGJ8JZ7HAwNAPrGvejDPvHnzduzYIbLsrl27fv75Z73OlYud7qFDh2rWrKnL2syAhwAA7ouOpxUBwN3l5OS4ugSPZX/Y/eKLL5YrV874SsLDw8uUKXP79u2CJX379g0LCzO+Es/jsQGggHjr5O8XxdfZ2dni0DMhISExMfHEiRMnT55MSUlJS0vLnwfD4SMhi3Lt2rU5c+ZMmTJFWeGGysjIEP8h9ssDAgJKfBSfVpmZmeJHYMy2AKuh48nIzc11eEt02bJlGzRoYHw9gKnYBICgoKARI0a4pBJfX9+IiIjjx48XLOHhX3rx/ABQmHgnNcvj8LuvvPLK1KlT5dc2Y8aM3r17t2zZUp/iXErsCx1+mtKoUSNvb299txUfH184zSvdFmBldLyiiDj0119/2S+Pjo4WGcD4egBTady4sXlOsJRuVmKUyFoBoHiTJk1avXp1UlKS5Pjs7OxBgwb99ttvHrDD4PofwGqs3PG4/geAxREA/p+AgIB58+Z16dJF/iWHDx+ePHny22+/ra4qYxh5Vy53AANmQMezRwAAYBEEgP9P586dn3jiiTVr1si/ZOrUqY8++mirVq3UVWUAHgIAWBAdzwZdCIBFEABsffDBB5s3b05NTZUcn52d/dRTT/3+++9u/VC6og7K828lNAa7XsB41ux4BAAAFkcAsFW9evV33333hRdekH/J8ePHR40atXDhQnVVKXXx4sXk5GTX1iD+23muB2A8C3a89PR0h3c+iBbkSfOcAkAxCAAODB8+fOXKlT/99JP8SxYvXtypU6fevXurq0qdoj4MMxIfvAGuYrWOd/DgwdzcXPvl3IYEwDoIAA54e3uL3Vvz5s01zZM9ZMgQ8ZL69eurK0yRoq7/MRIBAHAVq3U8rv8BAAKAYw0aNJg0adJrr70m/5LU1NTHHnts9+7dgYGB6gpToajd4ZIlS5555hl9tzV48OBPPvnEfjmfvQEuZKmOt3//fofL6UIArIMAUKQJEyasW7du79698i85fPhw3759169f7+vrq64w3Rn5eRifvQHmRMejCwGwDgJAkXx8fJYvX96iRYubN2/Kv2rTpk35H3K7y0Nts7Ozjxw5Yr9c7NEbNWqk77ZycnLi4+Ptl5cpUyYmJkbfbQHQxCIdzyvvwef2C8U/PzY21vhiAMAlCADFiY6Ofv/990eMGKHpVZ9++qk40l26dKk4rlVUmI6OHTuWmZlpvzwqKsrf31/fbSUkJGRkZNgvv/POOz3g2aKAu7NCx0tKSnI452n9+vUDAgKMrwcAXMIN+rVrDR8+fOvWrevXr9f0qpUrV547d27FihXmn1SOR4ABKEDHAwArIACU7JNPPmnZsmViYqKmV23fvr1x48bz5s3r27evosJ0UdRBuYr74dj1Aubn2R2PLgQAXgQAGcHBwV9++WW7du3S0tI0vfDq1av9+vWbM2fOxIkTu3fvrqg8J5nhDmAm3wDMg44HAB6PACAlNjZ2zZo1Ypd2+/Ztra/96aefevToER4e/uCDD95///1iVZUrV65SpYqfn9+tW7cyMjJu3LiRnp6ekpLSpk0bFcUXz8jLctj1Am7BgzseXQgAvAgA8jp16rRixYq4uLjs7OxSvDwpKWlxnqIGREdHO5yNR6nU1NTTp0/bL69YsWJYWJi+20pLSzt16pT98uDg4Dp16ui7LQBO8siOd/PmzRMnTtgvr1ChQkREhMHFAIALEQA0eOKJJ3JzcwcOHJiVlaX7yps1a6b7OktU1IdhKqbDM/JmAwDO87yOd+jQoZycHPvlTAAKwGoIANr07du3atWqYr+YkpKi75qbN2+u7wplcP0PgGJ4WMejCwFAPgKAZg888MDvv/8eFxe3a9cuHVdrqjMA3AEMIB8dDwA8DwGgNOrUqbNz586FCxe+8cYbFy9edHJttWrV6tatW+vWrXWpTRMeAgCgRHQ8eZcvX65bt25mZmbt2rUd3mEFAGZAACi9oUOHPvXUU0uWLBH7xf3792t6bVRUlNj/tWvXrkOHDg0aNFBUYYkOHTrkcLmKT+UdBgBvb2/OAABuwQM6ngEfQyxatCj/2ept27bVa50AoDsCgFPKlSv3fJ6kpKRt27b9+uuvR44cOXv2bHJy8s2bN3NycgICAipWrBgaGlq7dm2x24uJiWmYRyx0de3/d5oOh/N8h4WFBQUF6butU6dOpaamOtxWhQoV9N0WAEXcuuOdO3fO4Z0MdevW1as88T/w8ccf53/tkklOAUASAUAf4eHhQ/O4uhANzHADANf/AO6IjufQ119/XXDZD2cAAJgZAcC6jLwonxsAALiWAQFg3rx5+V+UK1fOJdMcAYAkAoB1GTktD1MAAXCtou5b0KsLJSYmbtu2Lf/rli1blinD7hWAedGhrItLgABYh+ouNH/+/Nzc3PyvuQEAgMkRACzq1q1bJ06csF9erly5O++8U/dtHT9+3OG2oqKi9N0WANjLzMxMSEiwX+7v7x8dHe38+jMyMj755JOCvxIAAJgcAcCiDh8+nJ2dbb88JibGx8dH323Fx8cbti0AsCe60O3bt+2X69WFVq1aVXiKIe4ABmByBACLMsMNAFz/A8AYBlz/U/B1REREtWrVdFktAChCALAoI6flIQAAcC2lXei3337bu3dvwV/5+B+A+REALMoMdwAzBRAAYyjteHPnzi38V24AAGB+BACL4iEAAKyj1AEgNzc3Ozs7M89ff/2Vnp5+9erV5OTk8+fPnz179tSpUydOnCj88b8XAQCAOyAAWMKNGzcOHz4sDsQPHTqU/+fly5cdjhS7w2bNmjX9r+joaF9fX03bSktLE9s6VIi6bQGAPXGkXrjjCUV1odDQUH03HRgYKLqZvusEAN0RADzcmDFj1q1bl5SUVDBBdfEuXbq0JU/+X/39/Rs1arRs2TLxZ4mvffbZZ//zn/+cPn1asjaH21q+fHlMTIzkGgCgsFdffXXt2rUnT56U7Hi6u/vuu5ncDID5EQA83Jo1a86dO1fql9+6deu3334Th+Yyg//5z39mZGQ4ua3AwMBSrwGAxa1YseLs2bMuLIA7gAG4BQKAJxOH1OfPn3dyJT4+PmFhYSUOExty5ug/n0gadevWdXIlAKwpNTXVtUf/XtwAAMBNEAA8mTiedvgELhVq1qyZk5NjzLYAwF7FihXpQgAggwAAAAAAWAgBAAAAALAQAgAAAABgIQQAAAAAwEIIAAAAAICFEAAAAAAACyEAAAAAABZCAAAAAAAshAAAAAAAWAgBAAAAALAQAgAAAABgIQQAAAAAwEIIAAAAAICFEAAAAAAACyEAAAAAABZCAAAAAAAshAAAAAAAWAgBAAAAALAQAgAAAABgIQQAAAAAwEIIAAAAAICFEAAAAAAACyEAAAAAABZCAAAAAAAshAAAAAAAWAgBAAAAALAQAgAAAABgIQQAAAAAwEIIAAAAAICFEAAAAAAACyEAAAAAABZCAAAAAAAshAAAAAAAWAgBAAAAALAQAgAAAABgIQQAAAAAt5Gbm+vqEqCc6p8yAQAAAMCkxIGgt7d34b+6sBgoYvxPWXkA4J0Kz8O7GkXhvQGT4K3oSfhpWoHBP2WdAwA5FZ6HdzWKwnsDJsFbEYAm+p8BoO/A8/CuRlF4b8AkeCsCkMc9AAAAAICFEAAAAAAACyEAAAAAABZCAAAAAAAshAAAAAAAWAgBAAAAALAQAgAAAABgIQQAAAAAwEIIAAAAAICFEAAAAAAACyEAAAAAABZCAAAAAAAshAAAAAAAWAgBAAAAALAQAgAAAABgIQQAAAAAwEIIAAAAAICFEAAAAAAACyEAAAAAABZCAAAAAAAshAAAAAAAWAgBAAAAALAQAgAAAABgIf8H56pBe8AyUJ8AAAAASUVORK5CYII=)
. Thus we find that the
heat rejected to the river is ![](data:image/png;base64,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)
=1500 MW – 600 MW =
900 MW.
In the actual power plant there will be other sources of heat loss. These include heat transfer to the surrounding air from the power plant and leaks of the working fluid. In addition, power plant efficiency is usually determined as the power output divided by the equivalent heat from the fuel. There is a significant contribution to the inefficiency from the exhaust gases.