Question

Question 6: The Ideal Gas Law (7 points) a. What is the mathematical equation for the ideal gas law? Identify each variable and give its units. (2 points) b. Match the special cases of each gas law with its description. A law may be used more than once. In the equations, k is a constant. (3 points)

Answer 1

The mathematical equation for the ideal gas law is PV = nRT.

What is an ideal gas equation?

The ideal gas law (PV = nRT) relates the macroscopic properties of ideal gases. An ideal gas is a gas in which the particles (a) do not attract or repel one another and (b) take up no space (have no volume).

(A)

PV = nRT

The ideal gas equation is formulated as: PV = nRT. In this equation, P refers to the pressure of the ideal gas, V is the volume of the ideal gas, n is the total amount of ideal gas that is measured in terms of moles, R is the universal gas constant, and T is the temperature.

(B)

Where the pressure - P, is in atmospheres (atm) the volume - V, is in liters (L) the moles -n, are in moles (m) and Temperature -T is in Kelvin (K) as in all gas law calculations.

(C)

A. Boyle's law

B. Charles's law

C. Avogadro's law

D. Dalton's law

____ $- P_1V_1$ = $P_2 V_2$

____ $\frac{V}{T}$ = k

____ $\frac{V_1}{T_1}$ = $\frac{V_2}{T_2}$

____ V = kn

____ PV = k

____- P total = $P_1 + P_2 + P_3 + ...$

Boyle's law $- P_1V_1$ = $P_2 V_2$

Charles's law - $\frac{V}{T}$ = K

Charles's law - $\frac{V_1}{T_1}$ = $\frac{V_2}{T_2}$

Avogadro's law- V = kn

Boyle's law - PV = k

Dalton's law - P total = $P_1 + P_2 + P_3 + ...$

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