A sample of a halogen gas has a mass of 0.239 g and exerts 600.0 Torr at 140C in a 100.0 mL flask.
a. Calculate the molar mass of the halogen.
b. Calculate the density of the gas at 1.00 atm and 298 K.
show work please

Respuesta :

Answer:

Molar mass = 102.5 g/mol

Density = 4.19 g/L

Explanation:

To find the molar mass, we first need to find how many moles are in the sample. To do this, we can use the PV=nRT equation.

P = 600 torr * (1 atm/760 torr) = 0.79 atm

V = .1 L

n = this is the number of moles and what you are solving for

R = gas constant = 0.08206 L*atm/moles*K

T = 140 C + 273 = 413 K

Plug these values into the PV=nRT equation:

n = (.1 L*.79 atm)/(0.08206*413 K)/

n = .00233 moles

To find the molar mass divide the grams by the moles

0.239 g / .00233 moles = 102.5 g/mol

For the second part of the problem, you need to use this equation:

d (denstiy) = (P*molar mass)/ R*T

d = (1 atm * 102.5 g/mol) / (.08206*298 K)

d = 4.19 g/L