Answer:
The temperature of the balloon is 194.5 K (-78.65 °C)
Step-by-step explanation:
Step 1: Data given
Mass of N2 = 25.0 grams
Pressure = 9.5 atm
Volume = 1500 mL = 1.5 L
Molar mass N2 = 28 g/mol
Step 2: Calculate moles N2
Moles N2 = mass N2 / molar mass N2
Moles N2 = 25.0 grams / 28.0 g/mol
Moles N2 = 0.893 moles
Step 3: Calculate temperature of the balloon
p*V = n*R*T
T = (p*V)/(n*R)
⇒ with T = the temperature in the balloon = TO BE DETERMINED
⇒ with p = the pressure in the balloon = 9.5 atm
⇒ with V = the volume = 1.5 L
⇒ with n = the moles of N2 = 0.893 moles
⇒ with R = the gas constant = 0.08206 L*atm/K*mol
T = (9.5 * 1.5)/(0.893*0.08206)
T = 194.5 K = -78.65 °C
The temperature of the balloon is 194.5 K (-78.65 °C)