Correct answer is B. Please show complete steps. Thank you. A fixed amount of id
ID: 1615274 • Letter: C
Question
Correct answer is B. Please show complete steps. Thank you.
A fixed amount of ideal gas is held at constant gauge pressure p_g = 2 atm, where 1 atm almostequalto 1 times 10^5 Pa, and its temperature is raised from 200 degree C to 400 degree C. Which best describes the resulting change in volume for this gas? A. The volume of the gas increases by a factor of 2. B. The volume of the gas increases by a factor of about 1.4. C. The volume of the gas does not change. D. The volume of the gas decreases by a factor of 2.Explanation / Answer
According to the given question,
Gas is idea.
Amount of gas is fixed.
Initial pressure P1 = 2 atm and is constant as per question.
Initial Temperature T1 = 200'C = 200+273 K = 473 K
Final Temperature T2 = 400'C = 400 + 273 K = 673 K
Final Volume V2 = ?
From ideal gas equation, PV = nRT
If n and P is constant for the gas system, V1/T1 = V2/T2
Therefore, V2 = (T2/T1)*V1 = (673/473) * V1 = 1.42 V1
So, volume of the gas increases by factor 1.4.
Answer B.