A scientist in Brazil investigated the relationship between the pressure P and volume V of a gas at constant temperature. She found that P is inversely proportional to V. When V = 2 m³, P = 150 kPa. Calculate the pressure when V = 5 m³.

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Question

A scientist in Brazil investigated the relationship between the pressure P and volume V of a gas at constant temperature. She found that P is inversely proportional to V. When V = 2 m³, P = 150 kPa. Calculate the pressure when V = 5 m³.

Accepted Answer

60 kPa — Award 1 mark for correct answer. Since P ∝ 1/V, then P = k/V. When V = 2, P = 150, so k = 300. Therefore P = 300/V, and when V = 5, P = 60. B is incorrect because it multiplies 150 by 2.5 instead of dividing. C uses k = 150 incorrectly. D is incorrect because it halves 150 instead of using the correct constant.

Answer

30 kPa

Answer

60 kPa

Answer

375 kPa

Answer

75 kPa

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