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Gas lawsChemistryHigh schoolabout 1:00

At what temperature does 0.5 mol of gas fill 10 L at 1520 mmHg?: animated lesson

A narrated, step-by-step gas laws video lesson with captions. Final answer: T = 487.464 K (214.314 °C).

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Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.4 MB) · Captions (WebVTT)

Steps on screen

1. The problem
Worked example
At what temperature does 0.5 mol of gas fill 10 L at 1520 mmHg?
2. Step by step
1. $R = 62.3635934\ \text{L·mmHg/(mol·K)}$
  Choose the gas constant to match the units
2. $T = \frac{PV}{nR} = \frac{1520 \times 10}{0.5 \times 62.3635934} = 487.464\ \text{K}$
  Rearrange PV = nRT for T and substitute
3. The answer
$T = 487.464\ \text{K}$
T = 487.464 K
4. Check
- PV = 15200 and nRT = 15200, which agree.

Transcript

The problem. Here is the problem: At what temperature does 0.5 mol of gas fill 10 L at 1520 mmHg? Solve PV equals nRT for T, with pressure in mmHg, volume in litres, amount in moles and temperature in kelvin.

Step by step. Choose the gas constant to match the units. Pressure is in mmHg and volume in litres. Rearrange PV equals nRT for T and substitute.

The answer. So the answer is T equals 487.464 K (214.314 °C). An ideal gas obeys PV equals nRT: pressure times volume is proportional to the amount of gas and its absolute temperature. Real gases follow it closely at low pressure and high temperature.

Check. PV equals 15200 and nRT equals 15200, which agree.

About gas laws

Use the ideal gas law and the combined gas law to find pressure, volume, temperature or moles.

At what temperature does 0.5 mol of gas fill 10 L at 1520…