10.)A sample of gas has a mass of 0.545 g . Its volume is 117 mL at a temperatur

Question

10.)A sample of gas has a mass of 0.545 g . Its volume is 117 mL at a temperature of 84 ?C and a pressure of 736 mmHg . Find the molar mass of the gas.

Correct Calculate the root mean square velocity and kinetic energy of CO, CO2, and SO3 at 304 K Part D Calculate the kinetic energy of CO at 304 K Ea 3.78 J/mol Submit My Answers Give Up ncorrect: Try Again; 4 attempts remaining Part E Calculate the kinetic energy of CO2 at 304 K. Eavg- Submit My Answers Give Up Part Calculate the kinetic energy of SO: at 304 K Calculate the kinetic energy of SO at 304 K Eavg= 3.79 3.79 Submit My Answers Give Up

Explanation / Answer

10)

we know that

for gases

PV = nRT

given

pressure (P) = 736 / 760 atm

volume (V) = 117 ml = 0.117 L

R = 0.0821

Temperature (T) = 84 + 273 K = 357 C

so

( 736/760) x 0.117 = n x 0.0821 x 357

n = 3.8658 x 10-3

so

moles of gas = 3.8658 x 10-3

now

moles = mass / molar mass

given

mass of gas = 0.545 g

so

3.8658 x 10-3 = 0.545 / molar mass

molar mass = 140.98

so

the molar mass of the gas is 140.98

Part D)

we know that

avergae kinetic energy per moles is given by

K.E avg = 1.5 RT

given

temperature = 304 K

so

K.E avg = 1.5 x 8.314 x 304

K.E avg = 3791 J/mol

so

the kinetic energy of CO at 304 K is 3791 J/mol

Part E)

K.E avg = 1.5 RT

so

similarly

the kinetic energy of CO2 at 304 K is 3791 J/mol

Part F)

K.E avg = 1.5 RT

so
similarly

the kinetic energy of S03 at 304 K is 3791 J/mol

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