Question

What is the final pressure, in atmospheres, when the fire extinguisher is used at a temperature of 81 C

, if volume and amount of gas do not change?

Answer 1

A fire extinguisher has a pressure of 12 atm at 25 ∘C. What is the final pressure, in atmospheres, when the fire extinguisher is used at a temperature of 81 ∘C , if volume and amount of gas do not change?

PV = nRT

P is directly proportional to temperature .

$P_1 = 12 \; atm \\ 0°C = 273.15 \;K \\ T_1 = 25°C = 25+273.15 \;K = 298.15 \;K \\ T2 = 81°C = 81+273.15 \;K = 354.15 \; K \\ \frac{P_1}{T_1} = \frac{P_2}{T_2} \\ \frac{12}{298.15} = \frac{P_2}{354.15} \\ 0.04024 = \frac{P2}{354.15} \\ P_2 = 0.04024 \times 354.15 = 14.25 \; atm$