$A$ perfect gas goes from state $A$ to another state $B$ by absorbing $8 \times 10^5 \ J$ of heat and doing $6.5 \times 10^5 \ J$ of external work. It is now transferred between the same two states in another process in which it absorbs $10^5 \ J$ of heat. Then in the second process:

  • A
    Work done on the gas is $0.5 \times 10^5 \ J$
  • B
    Work done by gas is $0.5 \times 10^5 \ J$
  • C
    Work done on gas is $10^5 \ J$
  • D
    Work done by gas is $10^5 \ J$

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In a thermodynamic process,the pressure of a fixed mass of a gas is changed in such a manner that the gas releases $30 \,J$ of heat and $10 \,J$ of work is done on the gas. If the initial internal energy of the gas was $10 \,J$,then the final internal energy will be: (in $\,J$)

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