contestada

8.0 g of a monoatomic gas occupies 96.0 L at 380.9 mm Hg and 20.0 °C. What is the identity of the gas?

Respuesta :

The monoatomic gas : He

Further explanation

In general, the gas equation can be written  

[tex]\large {\boxed {\bold {PV = nRT}}}[/tex]

where  

P = pressure, atm  

V = volume, liter  

n = number of moles  

R = gas constant = 0.08206 L.atm / mol K  

T = temperature, Kelvin  

P 380.9 mmHg = 0.5 atm

T 20 C+273 = 293 K

We can find molar mass of gas :

[tex]\tt M(molar~mass(M)=\dfrac{mRT}{PV}\\\\M=\dfrac{8~g\times 0.082\times 293~K}{0.5~atm\times 96~L}\\\\M=4~g/mol[/tex]

monatomic gas means a single element, usually a noble gas. The noble gas element with mass 4 is He