Question 983: Thermodynamics & KTG

Question

An ideal gas heat engine operates in Carnot cycle between 227
o
C and 127
o
C. It absorbs 6 $$ 	imes $$ 10
4
cal of heat at higher temperature. Amount of heat converted to work is

Accepted Answer

$$1 - {{{T_2}} \over {{T_1}}} = 1 - {{{Q_2}} \over {{Q_1}}}$$
$$ \Rightarrow 1 - {{400} \over {500}} = 1 - {{{Q_2}} \over {6 	imes {{10}^4}}}$$
$$ \Rightarrow {4 \over 5} = {{{Q_2}} \over {6 	imes {{10}^4}}} \Rightarrow {Q_2} = 4.8 	imes {10^4}cal$$
Net heat converted into work
$$ = 6.0 	imes {10^4} - 4.8 	imes {10^4} = 1.2 	imes {10^4}cal$$

Answer

4.8 $$ 	imes $$ 10
4
cal

Answer

6 $$ 	imes $$ 10
4
cal

Answer

2.4 $$ 	imes $$ 10
4
cal

Answer

1.2 $$ 	imes $$ 10
4
cal.

Thermodynamics & KTG

An ideal gas heat engine operates in Carnot cycle between 227 o C and 127 o C. It absorbs 6 $ \times $ 10 4 cal of heat at higher temperature. Amount of heat converted to work is

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