Question

For how long do you need to run a 1 kW heater in a ballon to warm it by 10°C, given:

-entire output of the heater goes to warming the air in the ballon with initial volume of 75m^3

-air in the ballon with stretchable walls is maintained at a constant pressure of 1 atm

-air in ballon is filled with mixture of diatomic gases with 5 degrees of freedom per particle

-at initial temperature of the ballon and 1 atm, 1 mole of air fills a volume of 24.2L.

- 1 m^3 = 1000L

- R = 8.315 J/K.mol is universal gas constant

Answer 1

seln Initial volume (vi) = 75 m lressure chir Atm I mole = 24022 No. of = 3099017 mol mole (n)= 0 75 X 100o 24:2 Degree of freedom (f) = 5 C-[+] R. CD= [ZR] Amount of heut required to increase the temp. by. lo'ci's @= ncp AT = INRAT P = 7 (3099,17) (8.315) (10) [a= 901.937 kJ) Time for Iko heater is (t) = 2 = 901.9375ec. time ttl= 15 minute to (please rate the answer!) 2