A cylinder with a volume of 0.7 m3 contains gas at a temperature of 280 K. Determine the work of the gas during expansion
| February 4, 2021 | education
A cylinder with a volume of 0.7 m3 contains gas at a temperature of 280 K. Determine the work of the gas during expansion as a result of heating by 16 K, if the pressure is constant and equal to 100 kPa.
To find the value of the work performed by the specified gas during expansion, we will use the formula: A = P * (Vk – Vn) = P * (Vn * Tk / Tn – Vn) = P * (Vn * (Tn + ΔT) / Tn – Vн).
Variables: P – constant pressure (P = 100 kPa = 105 Pa); Vн – initial volume (Vн = 0.7 m3); Тк – final temperature (Тк = 280 К); ΔТ – temperature rise (ΔТ = 16 K).
Calculation: A = P * (Vn * (Tn + ΔT) / Tn – Vn) = 10 ^ 5 * (0.7 * (280 + 16) / 280 – 0.7) = 4 * 10 ^ 3 J.
Answer: The work of the specified gas during expansion is 4 kJ.
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