Question

A balloon is floating around outside your window. The temperature outside is -17 ∘C∘C , and the air pressure is 0.700 atmatm . Your neighbor, who released the balloon, tells you that he filled it with 3.90 molesmoles of gas. What is the volume of gas inside this balloon?

Answer 1

Okay, let's think through this step-by-step:

* The temperature is -17 °C

* The air pressure is 0.700 atm

* The number of moles of gas in the balloon is 3.90 mol

* We want to find the volume of the gas

To find the volume, we can use the ideal gas law:

PV = nRT

Where:

P = Pressure (0.700 atm)

n = Number of moles of gas (3.90 mol)

R = Ideal gas constant (0.0821 L·atm/mol·K)

T = Temperature in Kelvin (-17 °C + 273 = 256 K)

V = Volume (unknown)

Plugging in the values:

(0.700 atm)(V) = (3.90 mol)(0.0821 L·atm/mol·K)(256 K)

Solving this:

V = 261 L

Therefore, the volume of gas in the balloon is 261 L.