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Physics

Heat

Easy

Question

A sample of an ideal gas is taken through a cycle a shown in figure. It absorbs
50 J of energy during the process AB, no heat during BC, rejects 70 J during
CA. 40J of work is done on the gas during BC . Internal energy of gas at A is 1500 J, the internal energy at C would be

1590 J
1620 J
1540J
1570 J

The correct answer is: 1590 J

$straight capital delta W subscript A B end subscript equals 0 text as end text V equals text constant end text straight capital delta Q subscript A B end subscript equals straight capital delta U subscript A B end subscript equals 50 straight J table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em rowspacing 3 pt end attributes row cell text end text end cell row cell straight U subscript straight A equals 1500 straight J therefore straight U subscript straight B equals left parenthesis 1500 plus 50 right parenthesis straight J equals 1550 straight J end cell row cell straight capital delta straight W subscript BC equals negative straight capital delta straight U subscript BC equals negative 40 straight J end cell end table straight capital delta straight U subscript BC equals 40 straight J therefore straight U subscript straight C equals left parenthesis 1550 plus 40 right parenthesis straight J equals 1590 straight J$

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