Chapter 5: Q5.27P (page 228)

A sample of carbon monoxide occupies 3.65 L at 298 K and 745 torr. Find its volume at $- 14 ° C$ and 367 torr.

Short Answer

Expert verified

Answer

The final volume is 6.44 L.

Step by step solution

Ideal gas law

The ideal gas law equation is,

$P V = n R T$

The ideal gas law can also be written as,

$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$

(Moles of the sample are fixed)

Determination of final volume

$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$

Here,

$V_{1}$ is the initial volume (3.65 L).

$V_{2}$ is the final volume.

$T_{1}$ is the initial temperature (298 K).

$T_{2}$ is the final temperature (259 K).

$P_{1}$ is the initial pressure (745 torr).

$P_{2}$ is the final pressure (367 torr).

The final volume of the given sample at STP is,

$V_{2} = \frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}} V_{2} = \frac{745 torr \times 3.65 L}{298 K} \times \frac{259 K}{367 torr} V_{2} = 6.44 L$

Thus, the final volume is 6.44 L.

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A sample of carbon monoxide occupies 3.65 L at 298 K and 745 torr. Find its volume at $- 14 ° C$ and 367 torr.

Short Answer

Step by step solution

Ideal gas law

Determination of final volume

One App. One Place for Learning.

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A sample of carbon monoxide occupies 3.65 L at 298 K and 745 torr. Find its volume at -14°Cand 367 torr.

Short Answer

Step by step solution

Ideal gas law

Determination of final volume

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Inorganic Chemistry

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Chemical Analysis

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Study anywhere. Anytime. Across all devices.

A sample of carbon monoxide occupies 3.65 L at 298 K and 745 torr. Find its volume at $- 14 ° C$ and 367 torr.