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May 6, 2016
Posted by **Tulika** on Monday, April 9, 2012 at 12:33am.

- Physics (12th Grade) -
**Elena**, Monday, April 9, 2012 at 10:25amInternal energy may be expressed as

U = ν•R•T/(γ-1), and

U = ν• (i/2) •R•T,

where ν is the amount of substance, i is the degrees of freedom (i1 =3, i2 =5),

γ =Cp/Cv -adiabatic index.

From

p• V = ν•R•T, if V1=V2, then ν1= ν2 = ν.

U= U1+U2,

U = ν•R•T/(γ-1) = (ν1+ ν2) •R•T/(γ-1) =2 ν•R•T/(γ-1),

U1+U2 = ν1• (i1/2) •R•T + ν2• (i2/2) •R•T= (i1+i2) •v•R•T/2.

2 ν•R•T/(γ-1) = (i1+i2) •v•R•T/2.

2/(γ-1) =( i1+i2)/2=(3+5)/2 =4

2γ = 3,

γ =1.5