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Artyom0805 [142]
3 years ago
13

What is the inital volume of a gas at STP, if its final volume is 80.0 mL at 109 kPa and –12.5°C.

Chemistry
2 answers:
Kobotan [32]3 years ago
5 0

Answer:

<u>77.9 mL</u>

Explanation:

<u>Initial conditions</u>

  • V₁ = ?
  • P₁ = 1 atm = 101.325 kPa
  • T₁ = 273 K

<u>Final conditions</u>

  • V₂ = 80.0 mL
  • P₂ = 109 kPa
  • T₂ = -12.5°C = 260.5 K

<u>Equating Inital and Final conditions</u>

  • V₁ = P₂V₂T₁/P₁T₂
  • V₁ = 101.325 × 80 × 273 / 109 × 260.5
  • V₁ = 2212938/28394.5
  • V₁ = <u>77.9 mL</u>
tigry1 [53]3 years ago
4 0

Apply combine gas law

\\ \rm\Rrightarrow \dfrac{P_1V_1}{T_1}=\dfrac{P_2V_2}{T_2}

\\ \rm\Rrightarrow \dfrac{101.325V_1}{273}=\dfrac{109(80)}{273-12.5}

\\ \rm\Rrightarrow 0.37V_1=33.5

\\ \rm\Rrightarrow V_1=90.5mL

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