Question

a 7.0 L sample of methane gas is collected at 50.0 C predict the volume of the sample at 0 C

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine the volume of the methane gas sample at 0°C, we can use the ideal gas law equation:

PV = nRT

Where:
P = pressure (constant at constant volume)
V = volume
n = number of moles of gas (constant for the same sample)
R = ideal gas constant
T = temperature in Kelvin

Since the pressure is constant and the number of moles are constant for the same sample, we can express this equation as:

V1 / T1 = V2 / T2

Where:
V1 = initial volume of the sample
T1 = initial temperature of the sample
V2 = final volume of the sample
T2 = final temperature of the sample

Plugging in the values given:
V1 = 7.0 L
T1 = 50 + 273 = 323 K
T2 = 0 + 273 = 273 K

Now we can solve for V2:

(7.0 L) / (323 K) = V2 / (273 K)

V2 = (7.0 L) * (273 K) / (323 K) = 5.9 L

So, the volume of the methane gas sample at 0°C would be 5.9 L.