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Question

Chemistry Question on States of matter

Calculate final volume of a gas when pressure of 60 mL gas is increased from 1 to 1.5 atm, keeping temperature constant

A

2 x 10–2 dm3

B

3 x 10–2 dm3

C

5 x 10–2 dm3

D

4 x 10–2 dm3

Answer

4 x 10–2 dm3

Explanation

Solution

To calculate the final volume of the gas when the pressure is increased from 1 atm to 1.5 atm while keeping the temperature constant, we can use Boyle's Law,
P₁V₁ = P₂V₂
Given:
P₁ = 1 atm
P₂ = 1.5 atm
V₁ = 60 mL
On substituting
(1 atm) x (60 mL) = (1.5 atm) x V₂
60 atm·mL = 1.5 atm x V₂
V₂ = 60 (atmmL)1.5 (atm)\frac {60\ (atm·mL) }{1.5 \ (atm) }
V₂ = 40 mL
Therefore, the final volume of the gas is 40 mL.That is 4 x 10-2 dm³