What is the effect of each of the f on the volume of 1 mol of an i (a) The press

Question

What is the effect of each of the f on the volume of 1 mol of an i (a) The pressure changes from 760 torr to 202 kPa, and the temperature changes from 37°C to 155 K. O The volume increases by a factor of 2. O The volume increases by a factor of 4. O The volume decreases by a factor of 2. O The volume decreases by a factor of 4. O The volume remains the same. (b) The temperature changes from 305 K to 32°C, and the pressure changes from 2 atm to 101 kPa. The volume increases by a factor of 2. The volume increases by a factor of 4 The volume decreases by a factor of 2. The volume decreases by a factor of 4 The volume remains the same.

Explanation / Answer

a) P1V1 / T1 = P2V2/T2

P1 = 760 torr = 1.0 atm , V1 = 1.0 L (assume) , T1 = 370C = 310 K

P2 = 202 Kpa = 1.99 atm , V2 = ? , T2 = 155K

V2 = (P1V1T2 / T1P2)

V2 = (1.0 x 1.0 x 155 / 310 x 1.99)

V2 = 155 / 616.9

V2 = 0.25 L

answer = option 4 = the volume decreases by a factor of 4

b) P1V1/T1 = P2V2/T2

P1 = 2.0 atm , V1 = 1.0 L (assume) , T1 = 305 K

P2 = 101 Kpa = 0.997 atm , V2 = ? , T2 = 320C = 305 K

V2 = (P1V1T2 / T1P2)

V2 = (2.0 x 1.0 x 305 / 305 x 0.997)

V2 = 2.0

answer = option a = the volume increased by factor of 2

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