Heat and Thermal ExpansionHard
Question
An ideal gas can be expended 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 :-
(i) PV2 = constant and (ii) P = KV2 where K is a positive constant. Then :-
Options
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 case is greater than in (ii)
D.Total heat given to the gas in (i) case is greater than in (i)
Solution
(i) PV2 = C ⇒ TV = C
If volume expands temperature decrease.
(ii) P = KV2 ⇒
= constant
If volume expands, temprature increase
Q = ᐃU + W
Q2 > Q as W2 W2 > ᐃU2 > ᐃU1
If volume expands temperature decrease.
(ii) P = KV2 ⇒
= constantIf volume expands, temprature increase
Q = ᐃU + W
Q2 > Q as W2 W2 > ᐃU2 > ᐃU1
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