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Answer :
The final volume of the gas is 61.88 mL.
To find the final volume of the gas, we can use the Combined Gas Law, which relates the pressure, volume, and temperature of a gas:
Formula: (P1 × V1) / T1 = (P2 × V2) / T2
Conversion of temperatures to Kelvin:
- Initial temperature T1: 57.2°C + 273.15 = 330.35 K
- Final temperature T2: 112.3°C + 273.15 = 385.45 K
Given Data:
- Initial volume V1: 115 mL
- Initial pressure P1: 45.8 kPa
- Final pressure P2: 99.3 kPa
Rearranging the formula to solve for V2:
V2 = (P1 × V1 × T2) / (P2 × T1)
Calculation:
- V2 = (45.8 kPa × 115 mL × 385.45 K) / (99.3 kPa × 330.35 K)
- V2 ≈ (2026710.5) / (32761.865)
- V2 ≈ 61.88 mL
Complete Question:
115 mL of a gas is at 45.8 kPa and 57.2°C. What is the final volume of the gas at 99.3 kPa and 112.3°C?
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