A-gas-at-17-has-the-ratio-of-its-initial-to-final-volume-as-25-with-initial-pressure-of-2-10-5-Nm-2-Calculate-the-final-pressure-and-temperature-after-compression-1-5-

Question Number 40498 by Necxx last updated on 23/Jul/18

A g a s a t 17 ° h a s t h e r a t i o o f i t s i n i t i a l

t o f i n a l v o l u m e a s 25 w i t h i n i t i a l

p r e s s u r e o f 2 \times 10^{5} {N m}^{- 2} . C a l c u l a t e

t h e f i n a l p r e s s u r e a n d t e m p e r a t u r e

a f t e r c o m p r e s s i o n . (γ = 1.5)

Answered by tanmay.chaudhury50@gmail.com last updated on 23/Jul/18

{p v}^{γ} = c o n s t a n t

p_{1} v_{1}^{γ} = p_{2} v_{2}^{γ} p_{2} = p_{1} {(\frac{v_{1}}{v_{2}})}^{γ}

p_{2} = 2 \times 10^{5} . {(25)}^{1.5}

p_{1} v_{1} v_{1}^{γ - 1} = p_{2} v_{2} v_{2}^{γ - 1}

{R T}_{1} v_{1}^{γ - 1} = {R T}_{2} v_{2}^{γ - 1}

T_{2} = T_{1} {(\frac{v_{1}}{v_{2}})}^{γ - 1}

T_{2} = (273 + 17) . {(25)}^{0.5}