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A sample of nitrogen gas occupies 625 cm³ at 20.0°C and 750 torr. What is the final volume in

cubic centimeters at -80.0°C and 750 torr?

User Aston
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1 Answer

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Answer: To solve this problem, we can use the combined gas law, which relates the initial and final states of a gas sample when pressure, volume, and temperature change while the amount of gas remains constant. The formula for the combined gas law is:

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

where:

P1 = initial pressure (in torr)

V1 = initial volume (in cm³)

T1 = initial temperature (in Kelvin)

P2 = final pressure (in torr)

V2 = final volume (in cm³)

T2 = final temperature (in Kelvin)

Let's use the given data and solve for V2:

Given data:

P1 = 750 torr

V1 = 625 cm³

T1 = 20.0°C = 20.0°C + 273.15 (convert to Kelvin) ≈ 293.15 K

P2 = 750 torr

T2 = -80.0°C = -80.0°C + 273.15 (convert to Kelvin) ≈ 193.15 K

Now, plug the values into the combined gas law and solve for V2:

(750 torr * 625 cm³) / 293.15 K = (750 torr * V2) / 193.15 K

Solve for V2:

V2 = (750 torr * 625 cm³ * 193.15 K) / (750 torr * 293.15 K)

V2 = (750 * 625 * 193.15) / 293.15

V2 ≈ 304.69 cm³

The final volume (V2) at -80.0°C and 750 torr is approximately 304.69 cubic centimeters.

User Don Slowik
by
8.2k points
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