High School

A 36.2 mL sample of hydrogen gas was collected over water at 45°C and 100.4 kPa. What is the volume of the dry hydrogen gas at STP?

A. 27 mL
B. 30.8 mL
C. 319 mL
D. 34.0 mL
E. 36.2 mL

Answer :

Final answer:

The volume of dry hydrogen gas at Standard Temperature and Pressure (STP) is 34.0 mL.

Explanation:

The question asks for the volume of dry hydrogen gas at STP (Standard Temperature and Pressure). To find the answer, we need to correct for the presence of water vapor and then use the gas laws to adjust for the change in temperature and pressure.

First, we subtract the water vapor pressure at 45°C (kPa) from the total pressure (100.4 kPa) to find the partial pressure of the hydrogen. 100.4 kPa minus the water vapor pressure at 45°C (which is 12.8 kPa) gives us 87.6 kPa, which is the partial pressure of the hydrogen.

Next, we convert the conditions to STP using the formula P1V1/T1 = P2V2/T2. We plug in the values and solve for V2 to get our answer in mL. After performing the calculation, we find that the answer is 34.0 mL (option d).

Learn more about Gas Laws here:

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