Easy Gas Compression question PV=nRT

[fallen186]

Homework Statement

Suppose you compress an ideal gas to half its original volume, while also halving its absolute temperature. During this process, the pressure of the gas (a) halves (b) remains constant (c) doubles (d) x4

Homework Equations

PV=nRT

The Attempt at a Solution

P*2V=nR*.5T?
(d) Quadruples
the answer however is (b)

 

[RoyalCat]

half its original volume

Take a closer look at what you did instead.

 

[rl.bhat]

Homework Statement

Suppose you compress an ideal gas to half its original volume, while also halving its absolute temperature. During this process, the pressure of the gas (a) halves (b) remains constant (c) doubles (d) x4

Equation of states can be written as
P₁V₁/T₁ = P₂V₂/T₂
In second state V2 =(V1)/2 and T2 = (T1)/2
Substitute in the above equation and find P2.