Question 858: Thermodynamics & KTG

Question

If the temperature of a hot body is increased by $$50 \%$$, then the increase in the quantity of emitted heat radiation will be approximately

Accepted Answer

$$\begin{aligned}
& 	ext { Given: } \mathrm{T}_2=\mathrm{T}_1+\frac{50}{100} \mathrm{~T}_1 \
& \mathrm{~T}_2=1.5 \mathrm{~T}_1
\end{aligned}$$
According to Stefan's law,
$$\frac{\mathrm{Q}}{\mathrm{At}}=\sigma \mathrm{T}^4$$
Percentage change in radiation is,
$$\begin{aligned}
& \Delta E \%=\frac{T_2^4-T_1^4}{T_1^4} 	imes 100 \
& \Delta E \%=\frac{(1.5)^4 T_1^4-T_1^4}{T_1^4} 	imes 100 \
& \Delta E \% \approx 400 \%
\end{aligned}$$

Answer

$$125 \%$$

Answer

$$200 \%$$

Answer

$$300 \%$$

Answer

$$400 \%$$

Thermodynamics & KTG

If the temperature of a hot body is increased by $50 \%$, then the increase in the quantity of emitted heat radiation will be approximately

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