The graph shows the P V diagram of a process carried out with a certain quantity of oxygÃ¨n (γ=(7/5)) . If VA=(2/3) V0 and VB=(5/12) V0, then the volume till the gas absorbs heat is (N/12) V0 . Find N.

Question

The graph shows the P V diagram of a process carried out with a certain quantity of oxygÃ¨n (&gamma;=(7/5)) . If VA=(2/3) V0 and VB=(5/12) V0, then the volume till the gas absorbs heat is (N/12) V0 . Find N. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/9973bf385df96cab626c558c8d591cc1-.png" /> (P/V0-Vx)=(7/5) (P/Vx) 5 Vx=7 V0-7 Vx Vx=(7 V0/12)

Q. The graph shows the $P V$ diagram of a process carried out with a certain quantity of oxygèn $(γ = \frac{7}{5}) .$ If $V_{A} = \frac{2}{3} V_{0}$ and $V_{B} = \frac{5}{12} V_{0}$ , then the volume till the gas absorbs heat is $\frac{N}{12} V_{0} .$ Find $N$ .

$\frac{P}{V _{0} - V _{x}} = \frac{7}{5} \frac{P}{V _{x}}$
$5 V_{x} = 7 V_{0} - 7 V_{x}$
$V_{x} = \frac{7 V _{0}}{12}$

Q. The graph shows the PV diagram of a process carried out with a certain quantity of oxygèn (γ=57​). If VA​=32​V0​ and VB​=125​V0​, then the volume till the gas absorbs heat is 12N​V0​. Find N.

V0​−Vx​P​=57​Vx​P​ 5Vx​=7V0​−7Vx​ Vx​=127V0​​

Q. The graph shows the $P V$ diagram of a process carried out with a certain quantity of oxygèn $(γ = \frac{7}{5}) .$ If $V_{A} = \frac{2}{3} V_{0}$ and $V_{B} = \frac{5}{12} V_{0}$ , then the volume till the gas absorbs heat is $\frac{N}{12} V_{0} .$ Find $N$ .

$\frac{P}{V _{0} - V _{x}} = \frac{7}{5} \frac{P}{V _{x}}$
$5 V_{x} = 7 V_{0} - 7 V_{x}$
$V_{x} = \frac{7 V _{0}}{12}$