Question

Be sure to answer all parts. A balloon 15.0 m in diameter is inflated with helium 21°C and the atmospheric pressure of 98.7 kPa. Calculate the mass of He in the balloon, assuming ideal behavior. x 10! g (Enter your answer in scientific notation.)

Answer 1

Given. diame ter balloon - 15.0 m 15.0 2 m o. Radius of balloon, na = 7.5 m Now ballone is a spherical shape. Thus the volume of ballone. v= 3 II. 2o3 = 2x1T (7-5 m) 1767.14 m 1767.14 X 10 3 1 m = 1000 L 3 Given, Proessure, p = 98.7 kPa =98.7 x 100 Pa 3 = 98.7 810 x 9.869 X 10' = 0.974 atm. atm • 1 pa 9.869 x 10-6 atm

Temperature, T = (273 +21) k JU 294K Now we know that P V = nRT a PV = RT PVM m = RT 2 imony 0.974 ału x 1767.14 x 10° % x 49.5 0.082 4. atink! mot ! X 294 K 5 = 2.86 x 10 three significant g figures of He in the ballone Thus, mars 12.86 x 1 g (Aus).
I have given the answer in three significant figures...if the answer does not match due to significant figures then please comment below...