Question

If 4.65 LL of CO2CO2 gas at 13 ∘C∘C at 777 mmHgmmHg is used, what is the final volume, in liters, of the gas at 39 ∘C∘C and a pressure of 735 mmHgmmHg, if the amount of CO2CO2 does not change?

Answer 1

Solution:-

Using equation,

​​​​​​(P₁V₁) / T₁ = (P₂V₂) / T₂

Where,

P₁ = Initial Pressure

V₁ = Initial Volume

T₁ = Initial temperature

P₂ = Final Pressure

V₂ = Final Volume

T₂ = Final temperature.

Given:- P₁ = 777 mmHg ; V₁= 4.65 L ; T₁ = 13°C = (273.15 + 13) K = 286.15 K

P₂ = 735 mmHg ; V₂ = ? ; T₂ = 39°C = (273.15 + 39) K = 312.15 K

Now,

(777 × 4.65) / (286.15) = (735 × V​​​​​​​₂) / (312.15)

or, V₂ = 5.362 L

Hence, final volume of CO₂ = 5.362 L

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