Math / Numbers & Operations

Question5. Hydrogen, helium, neon, and argon are all components of a gas mixture. The mixture has a total pressure of 93.6 kPa . Helium, neon, and argon have partial pressures of $15.4 \mathrm{kPa}, 25.7 \mathrm{kPa}$ , and 35.6 kPa , respectively. What is the partial pressure exerted by hydrogen in kPa ?

Studdy Solution

STEP 1

1. The total pressure of the gas mixture is $93.6 \, \text{kPa}$ .
2. The partial pressures of helium, neon, and argon are $15.4 \, \text{kPa}$ , $25.7 \, \text{kPa}$ , and $35.6 \, \text{kPa}$ , respectively.
3. The partial pressure of hydrogen is the difference between the total pressure and the sum of the partial pressures of helium, neon, and argon.

STEP 2

1. Sum the partial pressures of helium, neon, and argon.
2. Subtract the sum from the total pressure to find the partial pressure of hydrogen.

STEP 3

Calculate the sum of the partial pressures of helium, neon, and argon.
$P_{\text{He}} + P_{\text{Ne}} + P_{\text{Ar}} = 15.4 \, \text{kPa} + 25.7 \, \text{kPa} + 35.6 \, \text{kPa}$
$= 76.7 \, \text{kPa}$

STEP 4

Subtract the sum of the partial pressures from the total pressure to find the partial pressure of hydrogen.
$P_{\text{H}_2} = P_{\text{total}} - (P_{\text{He}} + P_{\text{Ne}} + P_{\text{Ar}})$
$P_{\text{H}_2} = 93.6 \, \text{kPa} - 76.7 \, \text{kPa}$
$P_{\text{H}_2} = 16.9 \, \text{kPa}$
The partial pressure exerted by hydrogen is:
$\boxed{16.9 \, \text{kPa}}$

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms