Answer:
The ideal gas law is PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature in Kelvin.
To solve for temperature, we rearrange the equation to T = PV/nR.
First, we need to convert the volume to liters: 700 mL = 0.7 L.
The pressure also needs to be converted to atmospheres: 720 mmHg = 0.947 atm.
Now we can plug in the values:
T = (0.947 atm)(0.7 L)/(0.25 mol)(0.08206 L·atm/mol·K)
T = 24.8 K
Therefore, the temperature of the balloon is approximately 24.8 Kelvin.