A balloon is floating around outside your window. The temperature outside is 39 degree celsius, and the air pressure is 0.800atm . Your neighbor, who released the balloon, tells you that he filled it with 3.10 moles of gas. What is the volume of gas inside this balloon?
PV=nRT
make certain you use the correct R for your units. CHECK it.
To determine the volume of gas inside the balloon, we can use the Ideal Gas Law, which states:
PV = nRT
Where:
P = Pressure (in atm)
V = Volume (in liters)
n = Number of moles
R = Ideal Gas Constant
T = Temperature (in Kelvin)
First, we need to convert the temperature from Celsius to Kelvin:
T(K) = T(°C) + 273.15
T(K) = 39°C + 273.15
T(K) = 312.15 K
Now we can substitute the given values into the Ideal Gas Law equation:
PV = nRT
V = (nRT) / P
Let's calculate the volume:
V = (3.10 moles * 0.0821 L•atm/(mol•K) * 312.15 K) / 0.800 atm
V ≈ 119.488 L
Therefore, the volume of gas inside the balloon is approximately 119.488 liters.