Question

The radiant power of a furnace of surface area of $0.6$ m${}^2$ is $34$kW. The temperature of the furnace is nearly :

($\sigma =$ 5.7 x 10${}^{-8}$ Wm${}^{-2}$K${}^{-4}$)

• A. $3400K$
• B. $1512K$
• C. $1000K$
• D. $5700K$

Answer 1

The correct option is C $1000K$

We know that, $E=A\sigma \epsilon T^4$

So $T^4=\frac{E}{\sigma A}=\frac{34\times {10}^3}{0.6\times 5.7\times {10}^{-8}}=998.3K\approx 1000K$