High School

Select the correct answer.

The total pressure inside a vessel containing a mixture of neon, argon, and helium gases is 750 kPa. The partial pressure of neon is 230 kPa, and the partial pressure of argon is 250 kPa. What is the partial pressure of helium?

A. 480 kPa
B. 270 kPa
C. 500 kPa
D. 520 kPa
E. 325 kPa

Answer :

We are given that the total pressure in the vessel is
$$P_{\text{total}} = 750\, \text{kPa},$$
with the partial pressures of neon and argon being
$$P_{\text{Ne}} = 230\, \text{kPa} \quad \text{and} \quad P_{\text{Ar}} = 250\, \text{kPa}.$$

Since the gases are part of a mixture, the sum of the partial pressures of all gases equals the total pressure. Let the partial pressure of helium be $P_{\text{He}}$. Then, we have:

$$
P_{\text{total}} = P_{\text{Ne}} + P_{\text{Ar}} + P_{\text{He}}.
$$

Substitute the known values:

$$
750 = 230 + 250 + P_{\text{He}}.
$$

First calculate the sum of the neon and argon pressures:

$$
230 + 250 = 480.
$$

Now, subtract this sum from the total pressure to find the helium pressure:

$$
P_{\text{He}} = 750 - 480 = 270\, \text{kPa}.
$$

Thus, the partial pressure of helium is $270\, \text{kPa}$.

The correct answer is option B.