Agas-tight syringe is filled to 45.0 ml, at a pressure of 2.33 atm and 25.0°c, with a gaseous diatomic element. if the mass of the syringe increases by 0.137 g when filled, which diatomic element is in the syringe?

a. h2
b. oxygen
c. f2
d. no right answer.

The answer to your question is: d. No right answer

Explanation:

Data

V = 45 ml = 0.045 l

P = 2.33 atm

T = 25 °C = 298°K

m = 0.137 g

R = 0.082 atm l / mol°K

Formula

                   PV = nRT

Process

                 n = PV / RT

                 n = (2.33)(0.045) / (0.082)(298)

                 n = 0.1049 / 24.43

                 n = 0.0043

a) For hydrogen

                           1 g 1 mol

                           0.137 g  x

                          x = 0.137 mol of H2   The gas is not hydrogen

b) Oxygen

                          16 g of O2 1 mol

                          0.137 g        x

                          x = (0.137 x 1) / 16

                          x = 0.0086 mol of O2  The gas is not Oxygen

c) Fluor

                         19 g of F  1 mol

                         0.137 g       x

                         x = (0.137 x 1) / 19

                         x = 0.0072 mol of F      The gas is not Fluor