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Chemistry · Grades 10–12

Gas pressure at fixed temperature

For a fixed amount of ideal gas at constant temperature, pressure increases as volume decreases.

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Rule and assumptions

For a fixed amount of ideal gas at constant temperature, pressure increases as volume decreases.

P₂ = P₁V₁/V₂

Worked examples

An ideal gas has initial pressure 64 kPa and volume 3.7 L. At fixed amount and temperature its volume becomes 1.6 L. Find the new pressure. Round to 3 decimal places if needed. Answer in kPa.

P₂ = P₁V₁/V₂ 64 × 3.7/1.6 = 148

148 kPa

An ideal gas has initial pressure 146 kPa and volume 6.7 L. At fixed amount and temperature its volume becomes 5.5 L. Find the new pressure. Round to 3 decimal places if needed. Answer in kPa.

P₂ = P₁V₁/V₂ 146 × 6.7/5.5 = 177.855

177.855 kPa

Try two questions

  1. An ideal gas has initial pressure 87 kPa and volume 4.9 L. At fixed amount and temperature its volume becomes 6.3 L. Find the new pressure. Round to 3 decimal places if needed. Answer in kPa.

  2. An ideal gas has initial pressure 58 kPa and volume 6.3 L. At fixed amount and temperature its volume becomes 4.6 L. Find the new pressure. Round to 3 decimal places if needed. Answer in kPa.

Answers and reasoning

Answers and marking notes
  1. 67.667 kPa

    P₂ = P₁V₁/V₂ 87 × 4.9/6.3 = 67.667

  2. 79.435 kPa

    P₂ = P₁V₁/V₂ 58 × 6.3/4.6 = 79.435

Further reading and review references

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Learning preview · independent educational and translation review required. Suggested grades are not official curriculum alignment.