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One mole of a monatomic ideal gas underg...

One mole of a monatomic ideal gas undergoes an adiabatic expansion in which its volume becomes eight times its initial value. If the initial temperature of the gas is 100 universal gas constant 8.0, the decrease in its internal energy, in , is__________.

Text Solution

Verified by Experts

The correct Answer is:
900
`TV^(gamma -1) = T_f (B V)^(gamma -1)`
`rArr = T_f = T/(""_(8)5/4-1)=T/4`
`Delta U = nC_V Delta T = f/2 nR Delta T = F/2 1 .R. ((-3T)/4)`
`= -3/2 xx8xx 3/4 xx100 = -900 J`
Decrease in internal energy is 900 J.
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