A gas is compressed by an adiabatic process that decreases its volume by a factor of 2. In this process, the pressure
In this process, the pressure
a) increases by a factor of more than 2.
b) increases by a factor of 2.
c) does not change.
d) increases by a factor of less than 2.

a) increases by a factor of more than 2.

Explanation:

In an adiabatic process,

we can say that the volume is inverse to the pressure as

∝

where

is the pressure

is the volume

is the adiabatic index, and it is always greater than 1

If volume V is decreased by a factor of 2, then it is actually decreased by a factor of in proportion to the pressure, and since is always greater than 1, it is actually decreased by a factor greater than 2 in proportion to the pressure.

This means that the pressure will also increase by a factor greater than 2.

this is poiselle's equation from fluid mechanic in physics. mech eng