# How many moles of gas are in the balloon?

#### roam

1. Homework Statement

A spherical balloon is inflated to a diameter of 36 cm. Assuming that the gas in the balloon is of atmospheric pressure (101.3 kPa) and is at a temperature of 20°C.

(a) How many moles of gas are in the balloon?

(b) If 21% of the molecules in the balloon are oxygen molecules, how many oxygen molecules are in the balloon?

3. The Attempt at a Solution

(a) I want to use the formula $$PV=nRT$$

Volume is $$v=\frac{4}{3} \pi (0.18)^2 = 0.1357$$

R is the constant 8.314

So $$(101.3)(0.1357)=n8.314(20)$$

Now if I solve for n I get $$n= {13.74}{166.28} = 0.082$$

This is wrong because the correct answer must be 1.02. Do I need to convert the temprature to Kelvin/absolute temprature? ...because I tried that too & it didn't work.

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#### rl.bhat

Homework Helper
Given pressure is in kilopascal.
Temperature must be in Kelvin.

Last edited:

#### mgb_phys

Homework Helper
Temperature should be in kelvin

#### rock.freak667

Homework Helper
Your temperature should be in Kelvin (K) and the pressure in Pa

#### roam

Okay 20 degrees is 293.15 in Kelvin, and I converted the pressure to pascals. So my equation becomes

$$(101300)(0.1357)=n(8.314)(293.15)$$

n= 5.64

But why is this still not the right answer?

#### rl.bhat

Homework Helper
Okay 20 degrees is 293.15 in Kelvin, and I converted the pressure to pascals. So my equation becomes

$$(101300)(0.1357)=n(8.314)(293.15)$$

n= 5.64

But why is this still not the right answer?
Check the volume of the gas.
V = 4/3*π*r^3

#### inutard

= [. I said that earlier. I'm sad now.

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