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11.Thermodynamics
normal
The efficiency of Carnot engine is $50\%$ and temperature of sink is $500\, K$. If the temperature of source is kept constant and its efficiency is to be raised to $60\%$, then the required temperature of the sink will be........ $K$
A
$600$
B
$500$
C
$400$
D
$100$
Solution
$1-\frac{\mathrm{T}_{2}}{\mathrm{T}_{1}}=\frac{50}{100}$
$\frac{500}{\mathrm{T}_{1}}=\frac{1}{2}$
$\Rightarrow \mathrm{T}_{1}=1000 \mathrm{K}$
$1-\frac{\mathrm{T}_{2}}{1000}=\frac{60}{100}$
$\frac{\mathrm{T}_{2}}{1000}=\frac{2}{5}$
$\mathrm{T}_{2}=400 \mathrm{K}$
Standard 11
Physics