Question

the volume of a gas at27°and 760mmatmospheric pressure is500cc.the volume of the gas at the27°and 380mm of Mercury pressure is in mm​

Answer 1

Answer- The above question is from the chapter 'States of Matter'.

Concept used: 1) Boyle's Law which states that, if temperature is constant, pressure of a gas is inversely proportional to its volume.

                                       $P \propto \dfrac{1}{V}\\\\P = k . \dfrac{1}{V} \: \: where \: k \: is \: a \: constant \: of \: proportionality\\\\PV = k$

2) P₁V₁ = P₂V₂ for a gas if temperature is constant.

Given question: The volume of a gas at 27° and 760 mm atmospheric pressure is 500 cc. The volume of the gas at the 27° and 380 mm of Mercury pressure is ___ cc.

Answer: Temperature is constant i.e. ​27°.

By using Boyle's Law, P₁V₁ = P₂V₂ where

P₁ = 760 mm

V₁ = 500 cc

P₂ = 380 mm

V₂ = ?

Substituting the values, we get,

760 × 500 = 380 × V₂

V₂ = $\frac{760 \times 500}{380}$

V₂ = 2 × 500

V₂ = 1000 cc

∴ The volume of a gas at 27° and 760 mm atmospheric pressure is 500 cc. The volume of the gas at the 27° and 380 mm of Mercury pressure is 1000 cc.