Question

The ratio of the specific heats `c_"p"/c_"v"=gamma` in terms of degrees of freedom 'n' is given by ______.

Options

• `(1+1/n)`

• `(1+2/n)`

• `(1+n/2)`

• `(1+n/3)`

Answer 1

The ratio of the specific heats `c_"p"/c_"v"=gamma` in terms of degrees of freedom 'n' is given by `underline((1+2/n))`.

Explanation:

`"C"_"v"= "n"xx"R"/2;`

`"C"_"p"="C"_"v"+"R"="nR"/2+"R"=("n"/2+1)"R"`

`therefore"C"_"p"/"C"_"v"=(("n"/2+1)"R")/("nR"/2)=(1+2/"n")"R"`