Answer: The new volume of the balloon is 33 liters while T2 is 301K
Explanation:
Initial volume of helium V1 = 31 liters
Initial temperature T1 = 9°C
Convert temperature in Celsius to Kelvin
( 9°C + 273°C = 280K)
Final temperature T2 = 28°C
( 28°C + 273°C = 301K)
Final volume V2 = ?
According to Charle's law, the volume of a fixed mass of a gas is directly proportional to the temperature.
Mathematically, Charles' Law is expressed as: V1/T1 = V2/T2
31/280 = V2/301
To get the value of V2, cross multiply
V2 = (31 x 301) / 280
V2 = 9331 / 280
V2 = 33.325 liters (approximated to 33liters)
Thus, the new volume of the balloon is 33 liters while T2 is 301K
