TS EAMCET · Chemistry · Thermodynamics (C)

A certain mass of a gas was brought from state $A$ to $B$ by following three different paths, namely $1, 2$ and $3$ , respectively. Which of the following relations is correct for the work done?

A $W_{1} = W_{2} = W_{3}$
B $w_{1} < w_{2} < w_{3}$
C $W_{1} > W_{2} > W_{3}$
D $W_{1} = W_{3} < W_{2}$

Verified Solution

Answer & Solution

Correct Answer

(B) $w_{1} < w_{2} < w_{3}$

Step-by-step Solution

Detailed explanation

Work done = Area under the curve In The given graph, More the area below the path followed, More is the work done Therefore, In the P-V Graph. The area under path 3is more than 2, which is more than 1. Therefore, w1

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Explore more questions on app

From TS EAMCET

Explore more questions on app

	${[Ni {(H_{2} O)}_{6}]}^{2 +} :$ en molar ratio		Colour of the product
A	$1 : 1$	I	Pale blue
B	$1 : 2$	II	Blue / Purple
C	$1 : 3$	III	Violet
D		IV	Green

A certain mass of a gas was brought from state A to B by following three different paths, namely 1,2 and 3, respectively. Which of the following relations is correct for the work done?

Step-by-step Solution

A certain mass of a gas was brought from state $A$ to $B$ by following three different paths, namely $1, 2$ and $3$ , respectively. Which of the following relations is correct for the work done?