Question
Asked Dec 3, 2019
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Calculate the density of helium in a helium balloon at 28.3°C. (Assume that the pressure inside the balloon is 1.15 atm.)

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Expert Answer

Step 1

The pressure inside the balloon is given as 1.15 atm and the temperature of Helium balloon is 28.3 oC. The molar mass of He is 4 g. The density can be calculated as,

PV nRT
Where P is the pressure (atm), V is the volume of gas (L), R is the universal gas
constant (0.0821 L atm mol-1 K-1) and T is the temperature (K) andn is number
of moles.
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PV nRT Where P is the pressure (atm), V is the volume of gas (L), R is the universal gas constant (0.0821 L atm mol-1 K-1) and T is the temperature (K) andn is number of moles.

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Step 2

Using the above expression, the density can be derived as,

Mass
Number of moles (n)
Molar Mass
М
Substituting 'n' in the above expression
m
PV =xR x T
М
m
PM xRx T
V
m.
Since,
density (d)
PM d x Rx T
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Mass Number of moles (n) Molar Mass М Substituting 'n' in the above expression m PV =xR x T М m PM xRx T V m. Since, density (d) PM d x Rx T

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Step 3

Substituting the values in the a...

P 1.15 atm
M 4 g mol1
R
0.0821 L atm mol-1 K-1
T
28.3 273 = 301.3 K
PM d x Rx T
1.15 atm x 4 g mol1 = d x 0.0821 L atm mol-1 K-lx 301.3 K
d 0.185 g L-1
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P 1.15 atm M 4 g mol1 R 0.0821 L atm mol-1 K-1 T 28.3 273 = 301.3 K PM d x Rx T 1.15 atm x 4 g mol1 = d x 0.0821 L atm mol-1 K-lx 301.3 K d 0.185 g L-1

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