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Sagot :
Answer:
La cantidad de globos llenos es de aproximadamente 1.974 globos
Explanation:
Los parámetros dados son;
El gas utilizado para inflar el globo = Él
El volumen del gas He, V₁ = 15 L
La presión del gas He, P₁ = 200 atm = 20,265,000 Pa
El volumen de cada globo = 1,5 L
La presión del He dentro del globo, P₂ = 770 mmHg = 102,641 Pa
Sea 'V₂', que represente el volumen total que el gas ocupa en todos los globos, y 'x', que represente el número de globos;
Por lo tanto, tenemos;
1,5 · x = V₂
Según la ley de Boyle, tenemos;
P₁ · V₁ = P₂ · V₂
∴ V₂ = P₁ · V₁ / (P₂)
Al introducir los valores conocidos, obtenemos;
V₂ = 20,265,000 Pa × 15 L / (102,641 Pa) = 2,961.53548 L
1,5 L × x = V₂
∴ 1,5 L × x = 2,961,53548 L
x = 2,961.53548 L / (1.5 L) = 1,974.35699 redondeamos hacia abajo para obtener un número entero de globos de la siguiente manera;
El número de globos, x ≈ 1,974 globos.
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