Question

An ideal gas can be expanded from an initial state to a certain volume through two different processes
$\left(i\right)P{V}^2=constant\left(ii\right)P=K{V}^2$
Then,

• A. final temperature in (i) will be greater than in (ii)
• B. final temperature in (ii) will be greater than in (i)
• C. total heat given to the gas in (i) is greater than in (ii)
• D. total heat given to the gas in (ii) is greater than in (i)

Answer 1

Answer: (B), (D)

The correct options are
B final temperature in (ii) will be greater than in (i)
D total heat given to the gas in (ii) is greater than in (i)

From equation PV = nRT

$P_C<P_B,V_C=V_B\therefore T_B>T_C\Rightarrow T_B-T_A>T_C-T_{A}also,W_{AB}>W_{AC}...\left(areaundercurve\right)Soby1stlaw,Q=\Delta U+W=n{C}_V\Delta T+W\Rightarrow Q_{AB}>Q_{AC}$