Question

a tire contains a mixture of gases with the following partial pressures: Po2=51.3 kPa, Pco2= 0.10 kPa, Pn2 = 191.3 kPa, and P others= 2.3 kPa. calculate the total pressure as described by daltons law of partial pressures
a. 101.3 kpa
b. 183.7 kpa
c. 242.7 kpa
d. 245.0 kpa

Answer 1

Answer on Question #67541 - Chemistry – Other

Task:

A tire contains a mixture of gases with the following partial pressures: Po₂=51.3 kPa, Pco₂= 0.10 kPa, Pn₂ = 191.3 kPa, and P others= 2.3 kPa. Calculate the total pressure as described by daltons law of partial pressures

a) 101.3 kpa;

b) 183.7 kpa;

c) 242.7 kpa;

d) 245.0 kpa.

Solution:

Dalton's law states that in a mixture of non-reacting gases, the total pressure exerted is equal to the sum of the partial pressures of the individual gases.

Mathematical expression:

$$P _ {t o t a l} = \sum_ {i} ^ {n} \chi_ {i} \cdot P _ {i} \quad \text {or} \quad P _ {t o t a l} = P _ {1} + P _ {2} + \ldots + P _ {i}.$$

Where $P_{i}$ represent the partial pressures of each component. $\chi_{i}$ is the mole fraction of the $i$th component in the total mixture of $n$ components.

Then,

$$P _ {t o t a l} = P _ {O _ {2}} + P _ {C O _ {2}} + P _ {N _ {2}} + P _ {O t h e r s};$$ $$P _ {t o t a l} = 5 1. 3 k P a + 0. 1 k P a + 1 9 1. 3 k P a + 2. 3 k P a = 2 4 5 k P a.$$

Answer: D) $P_{\text{Total}} = 245 \, \text{kPa}$.

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