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STatiana [176]
3 years ago
8

1(30%). A thin plate black body, insulated at the bottom is placed faced up in a room with wall temperatures of 30 C. Air at 0 C

is forced over the plate with a convective heat transfer coefficient of 12 W/m².C. Calculate the plate temperature under steady state condition
Chemistry
1 answer:
ch4aika [34]3 years ago
3 0

Explanation:

The given data is as follows.

         Heat transfer coefficient (h) = 12W/m^{2}.C

         Plate temperature (T_{1}) = 30 ^{o}C = 303 K

         Steady state temperature (T_{2}) = ?

Hence, formula applied for steady state is as follows.

       (h \times A \times \Delta T)_{air} = \sigma \times A \times (T^{4}_{1} - T^{4}_{2})_{plate}

Putting the given values into the above formula as follows.

       (h \times A \times \Delta T)_{air} = \sigma \times A \times (T^{4}_{1} - T^{4}_{2})_{plate}

        12 \times (T_{2} - 273) = 5.67 \times 10^{-8} \times [(30 + 273)^{4} - T^{4}_{2}]

                  T_{2} = 282.66 K

                              = (282.66 -273)^{o}C      

                              = 9.66 ^{o}C      

Thus, we can conclude that the steady state temperature will be 9.66 ^{o}C.

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