Calculate the volumes of the following gases at the conditions stated?

Question

3.01 x 10^23 molecules of Ar at 5 degrees C and 106.6 kPa

Answer 1

Moles = 3.01 x 10^23 / 6.02 x 10^23 = 0.5

T = 273 + 5 = 278 K

p = 106600 / 101325 = 1.05 atm

V = nRT / p = 0.5 x 0.0821 x 278/1.05 = 10.9 L