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A gas is compressed at a constant pressure of 50 \mathrm{Nm}^{-2} from a volume of \mathrm{~m}^{3} to a volume of 4 \mathrm{~m}^{3}. Energy of 100 \mathrm{~J}  is then added to the gas by heating. Its internal energy is  

Option: 1

increased by 400 \mathrm{~J}


Option: 2

 increased by 200 \mathrm{~J}


Option: 3

 increased by 100 \mathrm{~J}


Option: 4

decreased by 200 \mathrm{~J}


Answers (1)

best_answer

Work done by the \mathrm{=p \Delta V}

\mathrm{=-50(10-4)=-300 \mathrm{~J} }
\mathrm{\text { Using } \: d Q \: =d U+d W }

\mathrm{\Rightarrow d U =d Q-d W }
\mathrm{=300+100=400 \mathrm{~J} }

Increased by \mathrm{400 \mathrm{~J} }.

Posted by

shivangi.bhatnagar

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