Using the same sample of gas (P1 = 535 torr , T1 = 19 ∘C ), we wish to change the pressure to 5350 torr with no accompanying change in volume or amount of gas. What temperature T2, in Celsius, is needed to reach this pressure?

Respuesta :

Answer:

The answer to your question is: 190°C

Explanation:

Data

P1 = 535 torr

T1 = 19°C

P2 = 5350 torr

T2 = ?

Formula

                           [tex]\frac{P1}{T1}  = \frac{P2}{T2}[/tex]

                           [tex]T2 = \frac{P2T1}{P1}[/tex]

                           [tex]T2 = \frac{(5350)(19)}{535}[/tex]

                                  T2 = 190°C

2647 degrees Celcius is the new temperature.

What is an ideal gas equation?

The ideal gas law (PV = nRT) relates the macroscopic properties of ideal gases.

An ideal gas is a gas in which the particles (a) do not attract or repel one another and (b) take up no space (have no volume).

Gay Lussac's Law  When the volume is not changed, the gas pressure is proportional to its absolute temperature.

[tex]\frac{P_1}{T_1} = \frac{P_2}{T_2}[/tex]

P₁ = 535 torr

P₂ = 5350 torr

T₁ = 19 + 273 = 292 K

[tex]T_2 = \frac{T_1 X P_2}{P_1}[/tex]

[tex]T_2 = \frac{292 K \;X \;5350 torr}{535 torr}[/tex]

[tex]T_2[/tex]= 2920-273

=2647 degrees Celcius.

Hence, 2647 degrees Celcius is the new temperature.

Learn more about the ideal gas here:

https://brainly.com/question/27691721

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