A gas system has volume, moles and temperature of 9040 mL, 0.447 moles and -35.50 oC, respectively. What is the pressure in atm?

Respuesta :

Answer : The pressure of the gas is, 0.964 atm

Solution : Given,

Volume of gas = 9040 ml = 9.040 L        (1 L = 1000 ml)

Moles of gas = 0.447 moles

Temperature of gas = [tex]-35.50^oC=237.5K[/tex]       [tex](0^oC=273K)[/tex]

Using ideal gas equation,

[tex]PV=nRT[/tex]

where,

P = pressure of the gas

V = volume of the gas

T = temperature of the gas

n = number of moles of gas

R = gas constant = [tex]0.0821Latm/moleK[/tex]

Now put all the given values in this formula, we get the pressure of the gas.

[tex]P(9.040L)=(0.447moles)\times (0.0821Latm/moleK)\times (237.5K)[/tex]

By rearranging the terms, we get

[tex]P=0.964atm[/tex]

Therefore, the pressure of the gas is, 0.964 atm