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Calcula la densidad del gas a TPE para los siguientes: 969cm3 de un gas 64 grados C y 96.4 kPa con una masa de 1.64g

Sagot :

dsdrajlin

Respuesta:

2.17 × 10⁻³ g/cm³

Explicación:

Paso 1: Información provista

  • Volumen inicial (V₁): 969 cm³
  • Temperatura inicial (T₁): 64 °C
  • Presión inicial (P₁): 96.4 kPa
  • Volumen en TPE (V₂): ?
  • Presión estandar (P₂): 100 kPa
  • Temperatura estandar (T₂): 273.15 K

Paso 2: Convertir 64 °C a Kelvin

Usaremos la siguiente fórmula.

K = °C + 273.15 = 64 °C + 273.15 = 337 K

Paso 3: Calcular V₂

Usaremos la ecuación combinada de los gases ideales.

P₁ × V₁ / T₁ = P₂ × V₂ / T₂

V₂ = P₁ × V₁ × T₂ / T₁ × P₂

V₂ = 96.4 kPa × 969 cm³ × 273.15 K / 337 K × 100 kPa = 757 cm³

Paso 4: Calcular la densidad del gas a  TPE

A TPE, 1.64 g del gas ocupan 757 cm³.

ρ = 1.64 g/757 cm³ = 2.17 × 10⁻³ g/cm³

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