The pressure and density of a diatomic gas ( = 7 5 ) changes adiabatically from (P, d) to (P^ , d^ ) . If d^ d =32 . Then, P^ P is

Step-by-step solution

= 7 5 For adiabatic process P V^ = constant where, V= volume P d⁻⁷= constant ( v 1 d ) where d= density aligned P₁ d₁⁻⁷ & =P₂ d₂^ - P₁ P₂ & = ( d₂ d₁ )^ - P₁ P₂ = ( d₁ d₂ )^ P P^ & = ( d d^ )^ 7 / 5 P^ P = ( d^ d )^ 7 / 5 & =(32)^ 7 / 5 & = (2^5 )^ 7 / 5 =2^7=128 aligned