Question

Which equation is derived from the combined gas law? OV, T = P₂72 O Pq V, T, - P ₂ V2 T 2

Answer 1

Answer:

$\frac{p_1 V_1}{T_1}=\frac{p_2 V_2}{T_2}$

Explanation:

The equation of state (combined gas law) for an ideal gas states that

$pV=nRT$

where

p is the gas pressure

V is the volume of the gas

n is the number of moles of the gas

R is the gas constant

T is the absolute temperature of the gas

The equation can be rewritten as

$\frac{pV}{T}=nR$

For an ideal gas that undergoes a transformation, if the amount of gas remains the same, the term on the right of the equation remains constant. This means that the ratio

$\frac{pV}{T}$

for the gas remains constant, and therefore we can rewrite the equation as

$\frac{p_1 V_1}{T_1}=\frac{p_2 V_2}{T_2}$

where 1 indicates the initial conditions of the gas while 2 indicates the conditions of the gas after the transformation.