An ideal gas occupies 400ml at 270 mmHg and 65C. If the pressure is changed to 1.4 atm and the temperature is increased to 100C, what is the new volume?

Answer 1

To solve this problem, we can use the combined gas law equation:

(P1 * V1) / (T1) = (P2 * V2) / (T2)

Where:
P1 = 270 mmHg
V1 = 400 ml
T1 = 65C + 273 = 338K
P2 = 1.4 atm
V2 = unknown
T2 = 100C + 273 = 373K

Now we can plug in the values and solve for V2:

(270 mmHg * 400 ml) / (338K) = (1.4 atm * V2) / (373K)

(108000) / (338) = 1.4V2 / 373

318.93 = 1.4V2 / 373

1.4V2 = 118.58

V2 = 118.58 / 1.4

V2 ≈ 84.7 ml

Therefore, the new volume of the gas at 1.4 atm and 100C is approximately 84.7 ml.