Final answer:
To find the volume of the balloon at a different pressure and temperature, we can use the ideal gas law equation and convert the given values to SI units. Plugging the values into the equation, we find that the new volume is approximately 55.9 L.
Step-by-step explanation:
To solve this problem, we can use the ideal gas law equation:
PV = nRT.
First, we need to convert the given quantities to SI units: 25°C = 298 K and 1.00 atm = 101325 Pa.
Next, we can plug the values into the equation and solve for V2:
V2 = (V1 * P1 * T2) / (P2 * T1)
V2 = (50.0 L * 101325 Pa * 283 K) / (0.855 atm * 298 K)
V2 ≈ 55.9 L
Therefore, at 0.855 atm and 10.0°C, the helium-filled balloon will have a volume of approximately 55.9 L.