Answer:
[tex]V=37.05\ L[/tex]
Explanation:
Given that:
Mass of [tex]NO[/tex], m = 45.0 g
Molar mass of [tex]NO[/tex], M = 30.01 g/mol
Temperature = 20.0 °C
The conversion of T( °C) to T(K) is shown below:
T(K) = T( °C) + 273.15
So,
T₁ = (20.0 + 273.15) K = 293.15 K
V = ?
Pressure = 740 mm Hg
Considering,
[tex]n=\frac{m}{M}[/tex]
Using ideal gas equation as:
[tex]PV=\frac{m}{M}RT[/tex]
where,
P is the pressure
V is the volume
m is the mass of the gas
M is the molar mass of the gas
T is the temperature
R is Gas constant having value = 62.36367 L. mmHg/K. mol
Applying the values in the above equation as:-
[tex]740\times V=\frac{45.0}{30.01}\times 62.36367\times 293.15[/tex]
[tex]740V=\frac{822685.94372}{30.01}[/tex]
[tex]V=37.05\ L[/tex]
