Respuesta :
Answer:
77.9 mL
Explanation:
Initial conditions
- V₁ = ?
- P₁ = 1 atm = 101.325 kPa
- T₁ = 273 K
Final conditions
- V₂ = 80.0 mL
- P₂ = 109 kPa
- T₂ = -12.5°C = 260.5 K
Equating Inital and Final conditions
- V₁ = P₂V₂T₁/P₁T₂
- V₁ = 101.325 × 80 × 273 / 109 × 260.5
- V₁ = 2212938/28394.5
- V₁ = 77.9 mL
Apply combine gas law
[tex]\\ \rm\Rrightarrow \dfrac{P_1V_1}{T_1}=\dfrac{P_2V_2}{T_2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{101.325V_1}{273}=\dfrac{109(80)}{273-12.5}[/tex]
[tex]\\ \rm\Rrightarrow 0.37V_1=33.5[/tex]
[tex]\\ \rm\Rrightarrow V_1=90.5mL[/tex]