Question
A hypothetical gas expands adiabatically such that its volume changes from 08 litres to 27 litres. If the ratio of final pressure of the gas to initial pressure of the gas is 16 81 . Then the ratio of C _ P C _ V will be.
BITSAT
Physics
Thermodynamics
2023
BITSAT 2023 (Memory Based Paper 2)
BITSAT Physics Question (2023) — Solution
Options
- A. 4 3
- B. 3 1
- C. 1 2
- D. 3 2
Answer
A. 4 3
Step-by-step solution
In adiabatic process aligned & PV ^ = constant \\ & P _1 ~V _1^ = P _2 ~V _2^ \\ & P _1 P _2 = ( V _2 ~V _1 )^ 81 16 = ( 27 8 )^ \\ & ( 9 4 )^2= ( 9 3 4 2 )^ ( 9 4 )^ 2- = ( 3 2 )^ \\ & ( 9 4 )^ 2- = ( 9 4 )^ / 2 2- = 2 \\ & 2= 3 2 = 4 3 aligned
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