An ideal gas is at a pressure 1.00 Ã 105 n/m2 and occupies a volume 2.00 m3. if the gas is compressed to a volume 1.00 m3 while the temperature remains constant, what will be the new pressure in the gas?

The behavior of an ideal gas at constant temperature obeys Boyle's Law of

p*V = constant

where

p = pressure

V = volume.

Given:

State 1:

p₁ = 10⁵ N/m² (Pa)

V₁ = 2 m³

State 2:

V₂ = 1 m³

Therefore the pressure at state 2 is given by

p₂V₂ = p₁V₁

or

p₂ = (V₁/V₂) p₁

= 2 x 10⁵ Pa

Answer: 2 x 10⁵ N/m² or 2 atm.