Question

A balloon is floating around outside your window. The temperature outside is 39 °C, and the air pressure is 0.800 atm.

Your neighbor, who released the balloon, tells you that he filled it with 4.70 moles of gas. What is the volume of gas inside
this balloon?
Express your answer numerically in liters.

Answer 1

The volume of gas inside the balloon is 144.42 liters.

Step-by-step explanation:

In order to find the volume of gas inside the balloon, we need to use the ideal gas law equation, PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature in Kelvin.

First, we need to convert the temperature from Celsius to Kelvin by adding 273.15: T = 39 + 273.15 = 312.15 K.

Using the given values, we can rearrange the equation to solve for V: V = (NRT) / P = (4.70 mol)(0.0821 L·atm/mol·K)(312.15 K) / 0.800 atm = 144.42 L.

Therefore, the volume of gas inside the balloon is 144.42 liters.

Answer 2

V = 150.49 L

Step-by-step explanation:

Given data:

Pressure = 0.800 atm

Temperature = 39 °C (39+273 = 312 K)

Moles of gas = 4.70 mol

Volume of gas = ?

Solution:

Formula:

PV = nRT

V = nRT/P

V = 4.70 mol × 0.0821 atm.L/mol.K × 312 K / 0.800 atm

V = 120.39 atm.L/ / 0.800 atm

V = 150.49 L