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GATE Mechanical 2014 Set 3 | Question: 41

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A certain amount of an ideal gas is initially at a pressure $p_1$ and temperature $T_1$. First, it undergoes a constant pressure process $1$-$2$ such that $T_2$ = $3T_1$/$4$. Then, it undergoes a constant volume process $2$-$3$ such that $T_3$ = $T_1$/$2$. The ratio of the final volume to the initial volume of the ideal gas is

  1. $0.25$
  2. $0.75$
  3. $1.0$
  4. $1.5$
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