A hot-air balloon contains 85,000 moles of air. To what temperature must the air be heated to fill a volume of 2500 m3 at a pressure of 100 kPa?

Answer 1

Work with the equation

PV = nRT

P = 100,000 Pa

V = 2500 m^3

n = number of moles of gas = 85,000

T = temperature in units of Kelvin

R = universal gas constant (look it up in your book in appropriate units)

T = PV/(nR)

Plug in the values of P, V, n, and R, and get T in Kelvins.