The state of an ideal gas is changed as shown, at constant temperature T0. If heat supplied to the gas in process B arrow C is thrice of work done by gas in A arrow B, then the pressure of gas in state C is (P0/2 n) . Find the value of n.

Question

The state of an ideal gas is changed as shown, at constant temperature T0. If heat supplied to the gas in process B arrow C is thrice of work done by gas in A arrow B, then the pressure of gas in state C is (P0/2 n) . Find the value of n. <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-45bzvrs7c8lu.png" /> (A) 8 (B) 9 (C) 7 (D) 6

Tardigrade Admin · Accepted Answer

QB C=3WA B nRT0ln (PB/PC)=3nRT0ln â¡ ((P0/P0 / 2)) ⇒ PC=(P0/16)

Q. The state of an ideal gas is changed as shown, at constant temperature $T_{0} .$ If heat supplied to the gas in process $B \to C$ is thrice of work done by gas in $A \to B,$ then the pressure of gas in state $C$ is $\frac{P _{0}}{2 n}$ . Find the value of $n .$

8

9

7

6

$Q_{BC} = 3 W_{A B}$
$n R T_{0} l n \frac{P _{B}}{P _{C}} = 3 n R T_{0} l n (\frac{P _{0}}{P _{0} /2})$
$\Rightarrow P_{C} = \frac{P _{0}}{16}$

Q. The state of an ideal gas is changed as shown, at constant temperature T0​. If heat supplied to the gas in process B→C is thrice of work done by gas in A→B, then the pressure of gas in state C is 2nP0​​ . Find the value of n.

8

9

7

6

QBC​=3WAB​ nRT0​lnPC​PB​​=3nRT0​ln⁡(P0​/2P0​​) ⇒PC​=16P0​​

Q. The state of an ideal gas is changed as shown, at constant temperature $T_{0} .$ If heat supplied to the gas in process $B \to C$ is thrice of work done by gas in $A \to B,$ then the pressure of gas in state $C$ is $\frac{P _{0}}{2 n}$ . Find the value of $n .$

$Q_{BC} = 3 W_{A B}$
$n R T_{0} l n \frac{P _{B}}{P _{C}} = 3 n R T_{0} l n (\frac{P _{0}}{P _{0} /2})$
$\Rightarrow P_{C} = \frac{P _{0}}{16}$