Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 1 1 pts which of the following laws is an indirect or inverse …

Question

question 1 1 pts
which of the following laws is an indirect or inverse proportionality?
○ boyles law
○ gay lussacs law
○ avagadros law
○ charles law

question 2 1 pts
what is the total pressure exerted by a mixture containing two gases if the partial pressure of one gas is 70 torr and the partial pressure of the other gas is 30 torr?
○ 30 torr
○ 100 torr
○ 70 torr
○ 40 torr

Explanation:

(Question 1):

Step1: Define inverse proportionality

Inverse proportionality means as one variable increases, the other decreases, expressed as $x \propto \frac{1}{y}$ or $xy = k$ (constant).

Step2: Analyze each gas law

  • Boyle's Law: $P_1V_1 = P_2V_2$ (pressure $\propto \frac{1}{\text{volume}}$ at constant temp/moles, inverse proportionality)
  • Gay-Lussac's Law: $\frac{P_1}{T_1} = \frac{P_2}{T_2}$ (direct proportionality)
  • Avogadro's Law: $\frac{V_1}{n_1} = \frac{V_2}{n_2}$ (direct proportionality)
  • Charles' Law: $\frac{V_1}{T_1} = \frac{V_2}{T_2}$ (direct proportionality)

(Question 2):

Step1: Apply Dalton's Law

Total pressure = sum of partial pressures: $P_{\text{total}} = P_1 + P_2$

Step2: Substitute given values

$P_{\text{total}} = 70\ \text{torr} + 30\ \text{torr}$

Answer:

  1. Boyle's Law
  2. 100 torr