Answer:
I will assume that the moles are all mistyped and will change them to:
4.64, 25.9, and 2.73.
15.2 liters
Step-by-step explanation:
Both situations can be described using the ideal gas law:
PV=nRT,
where P, V, and T are the pressure, volume, and temperature (in degrees K). n is the number of moles. R is the gas constant.
First NO2 : P1(25.9L) = (4.64moles)RT
Second NO2: P2V2 = (2.73moles)RT2
Divide one equation by the other:
(P1(25.9L) = (4.64)RT1)
P2V2 = (2.73)RT2
The temperatures, pressures, and gas constants are unchanged, so we can cancel those to obtain:
(25.9L)/V2 = (4.64/2.73)
V2 = (25.9L)(2.73/4.64)
V2 = 15.2 Liters