Question

Hlo.. ✌

the relation between internal energy U. pressure P and volume V of the gas in adiabatic process is
U= a + bPV
where a and b are positive constant what is the value of Gamma??

No. Spam.. ✋

Answer 1

Hi Tina here is your answer

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In adiabatic process no heat is exchnaged between the system and the surrounding

0 = dU + PdV

Or

d[a+bPV] +PdV = 0

bP dV + bV dP +P dV =0

(b+1)P dV + bV dP = 0

(b+1) dV/V + b dP/P = 0

(b+1) log V + b log P = constant

$v {}^{b + 1} p {}^{b} = constant$

PV b+1/b = constant

Hence gamma = b+1/b

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Hope it helps you............!!
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Day One Ish

Answer 2

➡Here is your Answer mate⬅

⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵

▶In adiabatic process no heat is exchnaged between the system and the surrounding

0 = dU + PdV

Or

d[a+bPV] +PdV = 0

bP dV + bV dP +P dV =0

(b+1)P dV + bV dP = 0

(b+1) dV/V + b dP/P = 0

(b+1) log V + b log P = constant

v {}^{b + 1} p {}^{b} = constantv

b+1

p

b

=constant

PV b+1/b = constant

Hence gamma = b+1/b◀

❤✨✨✨✨✨✨✨✨❤

✨❤Hope it helps❤✨