The H₂ gas are needed 0.157moles to fill the bag .
For solving this problem we use the ideal gas equation. It is also called the general gas equation . This equation use for a hypothetical ideal gas. . It has several limitations. It was first stated by Benoit Paul Emile Clapeyron in 1834 . The ideal gas law is written by an empirical form:
PV = n R T
where-
P = Pressure
V = volume
T = Temperature
n = The amount of substance
R = Ideal gas constant
Now we have the values of these terms as-
P = 1 atm , V = 3.79L , T = 293K
and R = 0.0826 L/atm
For getting moles of hydrogen we can use the values of variables in ideal gas equation as -
P V = n R T
Now (1 atm) × ( 3.79L ) = n × ( 0.0826 L/atm) × ( 293K)
n = (1 × 3.79) ÷ (0.0826 x 293)
= 0.157 moles
So that the 0.157moles of H₂ gas are needed for fill the bag .
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