Question

A 50.0 mL sample of gas at 20.0 atm of pressure is compressed to 40.0 atm of pressure at constant temperature. What is the new volume?

Answer 1

Given:-

→ Initial volume of the gas = 50 mL

→ Initial pressure = 20 atm

→ Final pressure = 40 atm

To find:-

→ Final/new volume of the gas.

Solution:-

According to Boyle's Law, we know that :-

P₁V₁ = P₂V₂ [ T is constant]

Where :-

• P₁ is the initial pressure.

• V₁ is the initial volume of the gas.

• P₂ is the final pressure.

• V₂ is the final volume.

Substituting values, we get :-

⇒20(50) = 40(V₂)

⇒1000 = 40V₂

⇒V₂ = 1000/40

⇒ V₂ = 25 mL

Thus, the new volume is 25mL .

Some Extra Information :-

Boyle's Law is a gas law which states that the pressure exerted by a gas of given mass, at a constant temperature is inversely proportional to volume occupied by it.

We can express it mathematically as :-

P ∝ 1/V [when T is constant]

Answer 2

Answer:

25.0 mL

Explanation:

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