ABSTRACT

A chemical reactor has 1250 sections and it is possible to calculate a theoretical temperature for each section. These have a distribution across sections with mean 452 °C and standard deviation 22 °C; the distribution is closely approximated by a normal distribution in the range 390–520 °C. For a variety of reasons , measured temperatures depart from the theoretical ones , the discrepancies being partly random and partly systematic. The temperature is measured in 20 sections and Table D.1 gives the measurements and the corresponding theoretical values. It is known further that the measured temperature in a section deviates from the ‘true’ temperature by a completely random error of measurement of zero mean and standard deviation 3 °C. Special interest Measured and theoretical temperatures in 20 sections of reactor https://www.niso.org/standards/z39-96/ns/oasis-exchange/table"> Measured temp. (°C) Theoretical temp. (°C) Measured temp. (°C) Theoretical temp. (°C) 431 432 472 498 450 470 465 451 431 442 421 409 453 439 452 462 481 502 451 491 449 445 430 416 441 455 458 481 476 464 446 421 460 458 466 470 483 511 476 477 29attaches to the number of channels in a reactor with ‘true’ temperature above 490 °C.