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?

Respuesta :

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.

[tex]P_1=1.000 atm, T_1=298.15K[/tex]

[tex]P_2=1.250 atm,T_2=?[/tex]

Applying Gay Lussac's law:

[tex]\frac{P_1}{T_1}=\frac{P_2}{T_2}[/tex] (At constant volume)

[tex]\frac{1.000 atm}{273.15 K}=\frac{1.250 atm}{T_2}[/tex]

[tex]T_2=296.43 K[/tex]

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

The temperature of such a vessel, calibrated to read 1 atm at STP, if the pressure reads 1.250 atm is 341.25 K

Data obtained from the question

  • Initial pressure (P₁) = 1 atm
  • Initial temperature (T₁) = STP = 273 K
  • New pressure (P₂) = 1.25 atm
  • New temperature (T₂) =?

How to determine the new temperature

The new temperature of the gas can be obtained as follow:

P₁ / T₁ = P₂ / T₂

1 / 273 = 1.25 / T₂

Cross multiply

T₂ = 273 × 1.25

T₂ = 341.25 K

Thus, the temperature will read 341.25 K

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