An ideal monoatomic gas indergoes a pressure `pV_(n)`=constant. The adiabatic constant for gas is `y`. During the process, volume of gas increases from `V_(0)` to `rV_(0)` and pressure decreases for `p_(0) ` to `(p_(0))/(2r)` Based on above information, answer the following questios : The of n isA. `(2log r)/(log2r)`B. `(log2 r)/(3)`C. `(log2 r)/(log r)`D. `(log2 r)/(3log r)`

An ideal monoatomic gas indergoes a pressure `pV_(n)`=constant. The ad

1.	An ideal monoatomic gas indergoes a pressure `pV_(n)`=constant. The adiabatic constant for gas is `y`. During the process, volume of gas increases from `V_(0)` to `rV_(0)` and pressure decreases for `p_(0) ` to `(p_(0))/(2r)` Based on above information, answer the following questios : The of n isA. `(2log r)/(log2r)`B. `(log2 r)/(3)`C. `(log2 r)/(log r)`D. `(log2 r)/(3log r)`
Answer» Correct Answer - C `Pv^(n)`=constant Differentiating above equation, we get ` pxxnV^(n-1)dV+V^(n)dp=0 , np , dV=-Vdp` `nint_(V_(0))^(rV_(0)) (dV)/(V)=-int_(p_(0))^(p_(0))(dp)/(p)impliesnlnr =-ln ((1)/(2r))` `impliesn=("ln"2r)/("ln"r)`.

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