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Answer:

V = 12.93 L

Explanation:

Given data:

Number of moles = 0.785 mol

Pressure of balloon = 1.5 atm

Temperature = 301 K

Volume of balloon = ?

Solution:

The given problem will be solve by using general gas equation,

PV = nRT

P= Pressure

V = volume

n = number of moles

R = general gas constant = 0.0821 atm.L/ mol.K  

T = temperature in kelvin

Now we will put the values.

V = nRT/P

V = 0.785 mol × 0.0821 atm.L/ mol.K × 301 K / 1.5 atm

V = 19.4 L /1.5

V = 12.93 L

0.785 moles of N₂, fill a balloon at 1.5 atm and 301 K then the volume of the gas is 12.93 L.

How do we calculate volume of gas?

Volume of any gas will be used by using an ideal gas equation as:

PV = nRT, where

P = pressure of N₂ gas = 1.5atm

V = volume of N₂ gas = ?

n = moles of N₂ gas = 0.785mol

R = universal gas constant = 0.0821 atm.L/ mol.K  

T = temperature of N₂ gas = 301K

On putting values, we get

V = (0.785)(0.0821)(301) / (1.5)

V = 12.93 L

Hence required volume of gas is 12.93L.

To know more about ideal gas equation, visit the below link:

https://brainly.com/question/25290815