CBSE Class 11-science Answered
pls help me to solve the 59th question
![question image](http://images.topperlearning.com/topper/new-ate/top_mob16095971651409542204e9a70a9-674c-496f-aabc-cbee87004d42.jpg)
Asked by thejasvi001 | 02 Jan, 2021, 19:49: PM
Fast and sudden expansion of gas is adiabatic process.
For adiabatic expansion of gas, we have,
![begin mathsize 14px style p subscript i v subscript i superscript gamma space equals space p subscript f v subscript f superscript gamma end style](https://images.topperlearning.com/topper/tinymce/cache/5249fd3b13312496e1539f2c5d36c706.png)
where p is pressure and v is volume . subscript i stands for initial state and subscript f stands for final state.
γ is ratio of specific heat .
we are given that , specific heat at constant volume , Cv = 2R
we have , Cp - Cv = R , where Cp is specific heat at constant pressure.
Hence Cp = 2R+R = 3R and γ = ( Cp / Cv ) = (3R / 2R ) = 1.5
Hence ratio of initial pressure to final pressure is determined from eqn.(1) as
![begin mathsize 14px style p subscript i over p subscript f equals open parentheses v subscript f over v subscript i close parentheses to the power of gamma space equals space 3 to the power of 1.5 end exponent space almost equal to space 5.2 end style](https://images.topperlearning.com/topper/tinymce/cache/575c9973937f1a56d33ab40ef898f56e.png)
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Answer :- Ratio of initial to final pressure is nearly equal to 5
Answered by Thiyagarajan K | 02 Jan, 2021, 21:25: PM
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