Respuesta :
Answer:
5L
Explanation:
Please see the step-by-step solution in the picture attached below.
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A 2.5 liter sample of gas is STP. When the temperature is raised to 546 K and the pressure remains constant the new volume of the gas will be 5 L.
What is Ideal Gas Law ?
The ideal gas law states that the pressure of gas is directly proportional to the volume and temperature of the gas.
PV = nRT
where,
P = Pressure
V = Volume
n = number of moles
R = Ideal gas constant
T = Temperature
What is STP ?
STP is Standard Temperature and Pressure. At STP the temperature is 273 K or 0°C and the standard pressure is 1 atm.
Now, according to question the pressure is constant, then
At constant pressure
V ∝ T
[tex]\frac{V_1}{V_2} = \frac{T_1}{T_2}[/tex]
[tex]\frac{2.5\ L}{V_2} = \frac{273\ K}{546\ K}[/tex]
[tex]V_{2} = \frac{546 \times 2.5\ L}{273}[/tex]
V₂ = 5 L
Thus, from the above conclusion we can say that A 2.5 liter sample of gas is STP. When the temperature is raised to 546 K and the pressure remains constant the new volume of the gas will be 5 L.
Learn more about the Ideal Gas Law here: brainly.com/question/25290815
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