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ivolga24 [154]
3 years ago
10

Un gas ocupa un volumen de 1475 ml a la presión de 1145 hPa .Se le permite expandir, trabajando isotérmicamente, hasta que su pr

esión es de 0.63 atm . ¿Cuál será el volumen final del gas?
Chemistry
1 answer:
Gnom [1K]3 years ago
5 0

Answer:

2465.63 mL o 2.65 L

Explanation:

En este caso, como ya el ejercicio está diciendo que el gas se expande de forma isotérmica, significa que la temperatura en la cual se está trabajando es constante. Por ejemplo, si al principio estaba a 25 °C, entonces al final del proceso también estará a esa temperatura.

Como la temperatura es constante, la expresión para un gas ideal no puede ser utilizada. En su lugar, usamos la ley de Boyle que es para temperatura constante y es la siguiente:

P₁V₁ = P₂V₂

Entonces, solo debemos tomar en cuenta que las unidades respectivas de presión y volumen son las correctas y además, que sean las mismas.

En este caso P1 = 1145 hPa. Debemos convertir las unidades de Pascal a atmosfera. en este caso, la conversión es la siguiente:

1 atm -------> 1.01325x10⁵ Pa

Pero tenemos hPa, y 1 hPa son 100 Pa, entonces:

1145 hPa * 100 Pa / 1 hPa = 114500 Pa

Ahora aplicamos la conversión previa para tener la presión en Atm:

P₁ = 114500 Pa * 1 atm / 1.01325x10⁵ Pa = 1.13 atm

Ahora podemos calcular el volumen final del gas. Debería estar en Litros pero podemos trabajar en mililitros y luego convertirlo a Litros.

V₂ = P₁V₁ / P₂

V₂ = 1475 * 1.13 / 0.63

V₂ = 2645.63 mL o simplemente 2.65 L

Este sería el volumen final del gas.  

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