Question

Type the correct answer in the box. Express your answer to two significant figures.

Answer 1

Answer:

5.8 L

Explanation:

Assuming that the hydrogen gas in the balloon acts as an ideal gas, we can solve the problem by using the equation of state for an ideal gas:

$pV=nRT$

where:

p is the pressure of the gas

V is its volume

n is the number of moles

R is the gas constant

T is the absolute temperature  of the gas

For the gas in this problem, we have:

p = 1.05 atm is the pressure

n = 0.24 mol is the number of moles

$T=35^{\circ}C+273=308 K$ is the temperature of the gas

$R=0.082 L \cdot atm\cdot mol^{-1} K^{-1}$ is the gas constant

And solving for V, we find the volume of the gas in liters:

$V=\frac{nRT}{p}=\frac{(0.24)(0.082)(308)}{1.05}=5.8 L$