A monatomic gas at pressure P_(1) and volume V_(1) is compressed adiabatically to (1)/(8)^(th) of its original volume. What is the ginal pressure of the gas ?

A monatomic gas at pressure P_(1) and volume V_(1) is compressed adiab

1.	A monatomic gas at pressure P_(1) and volume V_(1) is compressed adiabatically to (1)/(8)^(th) of its original volume. What is the ginal pressure of the gas ?
Answer» `64P_(1)` `P_(1)` `16P_(1)` `32P_(1)` Solution :For an adiabatic process `PV^(GAMMA)` = CONSTANT or `P_(1)V_(1)^(gamma) = P_(2)V_(2)^(gamma)` For monatomic gas `gamma = (5)/(3)` `:. P_(1)V_(1)^(5//3) = P_(2)((V_(1))/(8))^(5//3) rArr P_(2) = P_(1) xx (2)^(5) = 32 P_(1)`