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Question 277 of 279 in Solids, Liquids and Gases

Solids, Liquids and Gases

5 marks · Normal

A glass tube contains a trapped sample of air. The pressure inside is recorded at different temperatures.

(a)

Convert the temperature 25°C to Kelvin.

[1 mark]
(b)

The initial pressure is 100 kPa at 25°C. What is the pressure if the temperature rises to 75°C, assuming the volume and mass of air remain constant? (Give your answer in kPa, to 2 significant figures.)

[4 marks]

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(a) 298 K · must show Celsius to Kelvin

(b) 120 kPa · must show converts both temperatures to Kelvin, uses pressure law formula, correct substitution and calculation

Show mark scheme and worked solution

Marking points

A1 (a) · 1 mark · Correct conversion of 25°C to 298 K.

M1 (b) · 1 mark · Correctly converts 75°C to Kelvin (348 K).

M2 (b) · 1 mark · Writes down or uses the correct formula: P1/T1 = P2/T2.

M3 (b) · 1 mark · Substitutes values and rearranges formula correctly.

A2 (b) · 1 mark · Correct answer to 2 s.f. (accept values 119–122 kPa).

Worked solution

a) Temperature in Kelvin = 25°C + 273 = 298 K.

b) T2 = 75 + 273 = 348 K. Use P1/T1 = P2/T2:

Rounded to 2 significant figures: 120 kPa.

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