What is the temperature in C of a sample of 4.75 moles of CO2 gas at a pressure of 0.998 atm that is placed in a container with a volume of .125 L?​

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Answer:

[tex]\boxed{\text{-272.83 }^{\circ}\text{C}}[/tex]

Explanation:

We can use the Ideal Gas Law to calculate the temperature.

pV = nRT

[tex]T = \dfrac{pV}{nR}[/tex]

Data:

p = 0.998 atm

V = 0.125 L

n = 4.75 mol

R = 0.082 06 L·atm·K⁻¹mol⁻¹

Calculation:

[tex]T = \dfrac{0.998 \times 0.125}{4.75 \times 0.082 06} =\text{0.320 K}[/tex]

T = (0.320 – 273.15) °C = -272.83 °C

Note: This is an impossible situation. CO₂ solidifies at -78.5 °C.

If CO₂ were an ideal gas, the calculated temperature would be [tex]\boxed{\text{-272.83 }^{\circ}\text{C}}.[/tex]

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