When the pressure in a certain gas cylinder with a volume of 4.50 L reaches 500 atm, the cylinder is likely to explode. if this cylinder contains 40.0 moles of argon at 25.0oC is it on the verge of exploding?

Respuesta :

Answer:

The cylinder is nit on the verge of exploding.

Explanation:

Given:  

Temperature = 25.0 °C

The conversion of T( °C) to T(K) is shown below:

T(K) = T( °C) + 273.15  

So,  

T = (25.0 + 273.15) K = 298.15 K  

Volume = 4.50 L

Moles = 40.0 mol

Using ideal gas equation as:

[tex]PV=nRT[/tex]

where,  

P is the pressure

V is the volume

n is the number of moles

T is the temperature  

R is Gas constant having value = 0.0821 L.atm/K.mol

Applying the equation as:

P × 4.50 L = 40.0 mol × 0.0821 L.atm/K.mol × 298.15 K  

⇒P = 217.58 atm

Pressure limit = 500 atm

Hence, the cylinder is nit on the verge of exploding.