Question

quiz - gas laws
name: ebtesam
questions

1. a co₂ cylinder with fixed volume of 60.0ml has an internal pressure of 465mmhg at a temperature of 25°c. if the temperature is increased to 340°c, the pressure inside of the cylinder would be measured at ______ atm

Explanation:

Step1: Convert temperatures to Kelvin

$T_1 = 25 + 273 = 298\ K$, $T_2=340 + 273 = 613\ K$

Step2: Convert initial pressure to atm

$P_1 = 465\ mmHg\times\frac{1\ atm}{760\ mmHg}\approx0.612\ atm$

Step3: Apply Gay - Lussac's Law ($\frac{P_1}{T_1}=\frac{P_2}{T_2}$)

$P_2=\frac{P_1T_2}{T_1}$
$P_2=\frac{0.612\times613}{298}$
$P_2=\frac{375.156}{298}\approx1.26\ atm$

Answer:

$1.26$