I still get it wrong! Please help! IF YOU WRITE IT OUT PLEASE TO IT NEATLY SO I

Question

I still get it wrong! Please help! IF YOU WRITE IT OUT PLEASE TO IT NEATLY SO I CAN READ IT!

The blackbody radiation emitted from a furnace peaks at a wavelength of 1.6 x 10 ° m (0.0000016 m). What is the temperature inside the furnace? 1000X Problem Statement: The blackbody radiation emitted from a furnace peaks at a wavelength of 2.9 10-6 m (0.0000029 m). What is the temperature inside the furnace? of 2.9 106 m (o.0000029 m) Step 1: Write down what you know in symbolic form: wavelength. Amax = 2.9 10-6 m (0.0000029 m) Step 2: Write down what you don't know in symbolic form: Temperature T = ? Step 3: Find an equation that contains what you know and what you don't know Amax = 0.0029/T (where Amax has the units of meter and T has the units of Kelvin). Step 4: Solve the equation for what you don't know: Amax 0.0029/T multiply both sides of the equation by T and then divide both sides by max TAmax = 0.0029 (T/T) Tamax /Amax )= T 0.0029/ Amax Step 5: Plug in (substitute) what you know and you will find out what you don't know: T-0.0029/Amax 0.0029/0.0000029 1000 K

Explanation / Answer

from the Wein's law

lamda= b/T

T = b/lamda

=2.89 * 10^-3/1.6 * 10^-6 =1812.5 K

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