CBSE 11th Standard Physics Subject Thermodynamics HOT Questions 5 Mark Questions With Solution 2021
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CBSE 11th Standard Physics Subject Thermodynamics HOT Questions 5 Mark Questions With Solution 2021
11th Standard CBSE
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Reg.No. :
Physics
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The efficiency of a Carnot engine is 1/2. If the sink temperature is reduced by 100o C, then engine efficiency becomes 2/3. Find
(i) sink temperature
(ii) source temperature
(iii) Explain, why a Carnot engine cannot have 100% efficiency?(a)
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CBSE 11th Standard Physics Subject Thermodynamics HOT Questions 5 Mark Questions With Solution 2021 Answer Keys
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Efficiency , \(\eta =1-\frac { { T }_{ 2 } }{ { T }_{ 1 } } \)
where, T2 = sink temperature
T1 = source temperature.
\(1-\frac { { T }_{ 2 } }{ { T }_{ 1 } } =\frac { 1 }{ 2 } \quad ...(i)\)
\(\\ 1-\left( \frac { { T }_{ 2 }-100 }{ { T }_{ 1 } } \right) =\frac { 2 }{ 3 } \ ...(ii)\)
From Eq. (i), \(\frac { { T }_{ 2 } }{ { T }_{ 1 } } =\frac { 1 }{ 2 } \) and Eq. (ii)
\(\frac { { T }_{ 2 }-100 }{ { T }_{ 1 } } =\frac { 1 }{ 3 } \)
On dividing, we get
\(\frac { { T }_{ 2 } }{ { T }_{ 2 }-100 } =\frac { 3 }{ 2 } \Rightarrow { T }_{ 2 }=300K\)
(ii) Substituting in Eq.(i) T1 = 600K
(iii) As efficiency, \({ \eta }_{ 2 }\Rightarrow 1-\frac { { T }_{ 2 } }{ { T }_{ 1 } } \)
It equals to 1 only when \(\frac { { T }_{ 2 } }{ { T }_{ 1 } } =0\quad or\quad { T }_{ 2 }=0K\)
But absolute zero is not possible.