psizemore8 psizemore8
  • 26-04-2021
  • Chemistry
contestada

If 57.5 mol of an ideal gas is at 4.97 atm at 69.80 ∘C, what is the volume of the gas?

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MenacingToast
MenacingToast MenacingToast
  • 26-04-2021

Answer:

325 L

Explanation:

We will use the ideal gas law: PV= nRT. Let's rearrange it so we're solving for V, so it'll instead be V=[tex]\frac{nRT}{P}[/tex]

Before we start, let's check our units. Usually it has to be the same as the units found in the constant (R)= 0.082057 L⋅atm/mol⋅K. We have temperature in Celsius here so let's convert it to Kelvin (K).

69.80C +273= 342.8 K

Now we can plug everything in.

V=[tex]\frac{nRT}{P}[/tex]

V=[tex]\frac{(57.5 mol)(0.082)(342.8 K)}{4.97 atm}[/tex]= 325 L

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