Respuesta :

Steps:

Mw = w * R * T / p * V

T = 88 + 273 => 361 K

p = 975 mmHg in atm :

1 atm  = 760 mmHg

975 mmg / 760 mmHg =>  1.28 atm

Therefore:

= 0.827 * 0.0821 * 361 /  1.28 * 0.270

=  24.51 / 0.3456

molar mass =  70.92 g/mol

Answer:

The molar mass of the gas is 70.83 g/mol.

Explanation:

Mass of the gas m= 827 mg = 0.827 g

Molar mass of gas = M

Pressure of the gas = 975 mmHg = 1.28 atm

Temperature of the gas = 88^C=  361 K

Using idal gas equation:

[tex]PV=nRT[/tex]

[tex]PV=\frac{m}{M}\times RT[/tex]

[tex]M=\frac{mRT}{PV}[/tex]

[tex]M=\frac{0.827 g\times 0.0820 atm L/mol K\times 361 K}{1.28 atm \times 0.270 L}=70.83 g/mol[/tex]

The molar mass of the gas is 70.83 g/mol.

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