SATHEE: Thermodynamics Question 336

Thermodynamics Question 336

Question: An ideal gas can be expanded from an initial state to a certain volume through two different processes (i) $P V^{2} =$ constant and (ii) $P = K V^{2}$ where K is a positive constant. Then

Options:

A) Final temperature in (i) will be greater then in (ii)

B) Final temperature in (ii) will be equal to (i)

C) Total heat given to the gas in (i) case is greater than in (ii)

D) Total heat given to the gas in (ii) case is greater than in (i)

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Answer:

Correct Answer: D

Solution:

[d] From equation $P V = n R T$

$P_{C} < P_{B}, V_{C} = V_{B}$ and $T_{C} - T_{A}$

$W_{A B} > W_{A C}$

$(T_{B} - T_{A}) > T_{C} - T_{A}$

So by 1st law

$Q = Δ U + W$

$Q = \frac{1}{2} n R T Δ T + W$

$Q_{A B} > Q_{A C}$

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Thermodynamics Question 336

Question: An ideal gas can be expanded from an initial state to a certain volume through two different processes (i) PV2= constant and (ii) P=KV2 where K is a positive constant. Then

Options:

Answer:

Solution:

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Question: An ideal gas can be expanded from an initial state to a certain volume through two different processes (i) $P V^{2} =$ constant and (ii) $P = K V^{2}$ where K is a positive constant. Then