Question

What is the volume of a container that can hola 0.50 mole of gas at 25C and 125atm

Answer 1

Hello!

What is the volume of a container that can hola 0.50 mole of gas at 25 ºC and 125 atm

We have the following data:

V (volume) = ? (in L)

n (number of moles) = 0.50 mole

T (temperature) = 25 ºC (in Kelvin)

First let's convert the temperature on the Kelvin scale, let's see:

TK = TºC + 273.15

TK = 25 + 273.15

TK = 298.15 → T (temperature) = 298.15 K

P (pressure) = 125 atm

R (gas constant) = 0.082 atm.L / mol.K

We apply the data above to the Clapeyron equation (gas equation), let's see:

$P*V = n*R*T$

$125\:V = 0.50*0.082*298.15$

$125\:V = 12.22415$

$V = \dfrac{12.22415}{125}$

$V = 0.0977932 \to \boxed{\boxed{V = 0.0978\:L}}\:\:\:\:\:\:\bf\blue{\checkmark}\bf\green{\checkmark}\bf\red{\checkmark}$

Answer:

The volume of a container is approximately 0.0978 L

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