The top of an insulated cylindrical container | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The rate of heat loss per unit area due to radiation,also known as the emissive power $e$,is given by the Stefan-Boltzmann law:$e = \varepsilon \s

Vedclass · Accepted Answer

$595 \, J/m^2 \cdot s$

Vedclass · Answer

(A) The rate of heat loss per unit area due to radiation,also known as the emissive power $e$,is given by the Stefan-Boltzmann law:$e = \varepsilon \sigma (T^4 - T_0^4)$Given:Emissivity $\varepsilon = 0.6$Stefan-Boltzmann constant $\sigma = \frac{17}{3} 	imes 10^{-8} \, W/m^2 K^4$Surface temperature $T = 127^\circ C = 127 + 273 = 400 \, K$Surrounding temperature $T_0 = 27^\circ C = 27 + 273 = 300 \, K$Substituting the values:$e = 0.6 	imes \left( \frac{17}{3} 	imes 10^{-8} ight) 	imes [ (400)^4 - (300)^4 ]$$e = 0.2 	imes 17 	imes 10^{-8} 	imes [ 256 	imes 10^8 - 81 	imes 10^8 ]$$e = 3.4 	imes 10^{-8} 	imes (175 	imes 10^8)$$e = 3.4 	imes 175 = 595 \, J/m^2 \cdot s$

Similar Questions

If the temperature of a black body increases from $7^{\circ}C$ to $287^{\circ}C$,then what is the ratio of the rate of energy emission?

Two spherical black bodies have radii $r_1$ and $r_2$. Their surface temperatures are $T_1$ and $T_2$. If they radiate the same power,then $\frac{r_2}{r_1}$ is:

The rate of radiation of a black body at $0^{\circ} C$ is $E \text{ J}s^{-1}$. The rate of radiation of the black body at $273^{\circ} C$ will be

Suppose the Sun is a spherical body of radius $r$ with a surface temperature of $t \, ^\circ C$. It radiates energy like a black body. The power received per unit area at a distance $R$ from the center of the Sun will be: ($\sigma$ is the Stefan-Boltzmann constant)

Two spheres $P$ and $Q$,of the same color,having radii $8 \; cm$ and $2 \; cm$ are maintained at temperatures $127^{\circ}C$ and $527^{\circ}C$ respectively. The ratio of energy radiated by $P$ and $Q$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module