Question

A scientist collects 0.24 mole of hydrogen gas in a balloon. The temperature of the hydrogen is 35°C, and the pressure in the balloon is 1.05 atmospheres. What is the volume of the balloon?

Answer 1

Answer:- Volume of the balloon is 5.78 L.

Solution:- There are 0.24 moles of hydrogen gas in a balloon at 35 degree C and 1.05 atm pressure. It asks to calculate the volume of the balloon.

This problem is based on ideal gas law equation:

$PV=nRT$

P = 1.05 atm, n = 0.24 mole, T = 35 + 273 = 308 K

R = $0.0821\frac{atm.L}{mol.K}$

V = ?

The equation could be rearranged for the volume as:

$V=\frac{nRT}{P}$

Let's plug in the values and do the calculations to get the volume of the balloon:

$V=\frac{0.24mole*0.0821(\frac{atm.L}{mol.K})*308K}{1.05atm}$

V = 5.78 L

So, the volume of the gas balloon is 5.78 L.