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## Homework Statement

A toy balloon is initially at a temperature of T = 20°C. Its initial volume is 0.0042 m3 (It is a 10 cm radius sphere). Assume that the pressure in the balloon always equals atmospheric pressure, 101.3 kPa.

The new temp was found to be 52.23°C

By how many Joules did the internal energy of the gas in the balloon increase? Air is almost entirely diatomic gas.

ΔU =?

## Homework Equations

T*N*α*K

pv=rnt

pv=kNt

## The Attempt at a Solution

5/2*(52.23-20)*1.381e-23*N

n=pv/rt

N=n*6.022e23

I keep getting 1.17e-4, and it says i am off by a power of 10. I am not sure where I am messing up