Option 2 : 0.75

ST 1: Reasoning & Mental Ability

7585

15 Questions
15 Marks
15 Mins

**Concept:**

For process 1 – 2 : P_{1} = P_{2}

\(\therefore \frac{{{V_1}}}{{{T_1}}} = \frac{{{V_2}}}{{{T_2}}}\)

\(\Rightarrow \frac{{{V_2}}}{{{V_1}}} = \frac{{{T_2}}}{{{T_1}}}\)

\(\Rightarrow \frac{{{V_2}}}{{{V_1}}} = \frac{3}{4}\)

For process 2 – 3: V_{2} = V_{3}

\(\therefore \frac{{{V_3}}}{{{V_2}}} = 1\)

Now, \(\frac{{{V_3}}}{{{V_1}}} = \frac{{{V_3}}}{{{V_2}}} \times \frac{{{V_2}}}{{{V_1}}} = 1 \times \frac{3}{4} = \frac{3}{4}\)

\(\Rightarrow \frac{{{V_3}}}{{{V_1}}} = 0.75\)