1lb of co2 occupies 0.6 ft^3 at a pressure of 200 psi. determine the temperature of the system.

The temperature of the system is 273 K

Explanation:

To calculate the number of moles, we use the equation:

Given mass of carbon dioxide = 1 lb = 453.6 g   (Conversion factor: 1 lb = 453.6 g)

Molar mass of carbon dioxide = 44 g/mol

Putting values in above equation, we get:

To calculate the temperature of gas, we use the equation given by ideal gas equation:

PV = nRT

where,

P = Pressure of carbon dioxide = 200 psia = 13.6 atm   (Conversion factor:  1 psia = 0.068 atm)

V = Volume of carbon dioxide =    (Conversion factor:   )

n = number of moles of carbon dioxide = 10.31 mol

R = Gas constant =

T = temperature of the system = ?

Putting values in above equation, we get:

Hence, the temperature of the system is 273 K