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If 19.5 [tex]\text{mol}[/tex] of an ideal gas is at 4.09 [tex]\text{atm}[/tex] and 313 [tex]\text{K}[/tex], what is the volume of the gas?

Answer :

To find the volume of the gas, we can use the ideal gas law equation, which is given by:

PV = nRT

Where:
P = pressure (in atmospheres)
V = volume (in liters)
n = number of moles
R = ideal gas constant (0.0821 L•atm/mol•K)
T = temperature (in Kelvin)

In this case, we are given:
n = 19.5 mol
P = 4.09 atm
T = 313 K

Now, let's plug in these values into the equation:

(4.09 atm) * V = (19.5 mol) * (0.0821 L•atm/mol•K) * (313 K)

Now, we can solve for V by dividing both sides of the equation by 4.09 atm:

V = (19.5 mol) * (0.0821 L•atm/mol•K) * (313 K) / (4.09 atm)

Calculating this expression gives us the volume of the gas

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