Question

At a constant temperature, a gas at a pressure of 1600 mm of Hg, occupies volume of 100 cc. If the
volume is decreased by 50 %, find the new pressure.​

Answer 1

Given :

• P₁ = 1600 mm of Hg
• V₁ = 100 cc
• V₂ = V₁ - 0.5 V₁= 0.5 V

To find :

• New pressure (P₂)

How to solve :

• By applying Boyle's law

Solution :

According to Boyle's Law ,

At constant temperature , the pressure exerted on the gas is directly proportional to the  volume occupied  by the gas .

Hence ,

• P ∝ 1 / V

⇒ PV = constant

Hence ,

⇒ P₁ V₁ = P₂ V₂

On rearranging ,

⇒  P₂  = P₁ V₁  / V₂

Now let's substitute the given values in the above equation ,

⇒ P₂  =  1600 x  V₁  / 0.5 V₁  

⇒ P₂  =  1600 x 0.5

⇒ P₂  = 800 mm of Hg

The new pressure is 800 mm of Hg .

Answer 2

Explanation:

refer the above answer