Question

One way to measure temperature in some applications is to monitor the gas pressure in a rigid, closed container. What is the temperature of such a vessel, calibrated to read 1.000 atm at STP, if the pressure reads 1.250 atm?

Answer 1

Answer:

296.43 K is the temperature of a vessel when pressure reads 1.250 atm.

Explanation:

At STP, when pressure is 1.000 atm the value of temperature is 273,15 K.

If the pressure at temperature T reads as 1.250 atm.

$P_1=1.000 atm, T_1=298.15K$

$P_2=1.250 atm,T_2=?$

Applying Gay Lussac's law:

$\frac{P_1}{T_1}=\frac{P_2}{T_2}$ (At constant volume)

$\frac{1.000 atm}{273.15 K}=\frac{1.250 atm}{T_2}$

$T_2=296.43 K$

296.43 K is the temperature of a vessel when pressure reads 1.250 atm.