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## Homework Statement

A 1.0 sample of nitrogen gas (diatomic)is heated at constant pressure from 300K to 420K, C

^{p}(nitrogen) = 29.1 Jmol

^{-1}°C

^{-1}

The thermal energy transferred to the gas is?

1. 8370 J

2. 12,200 J

3. 34.90 J

4. 3590 J

5. 12.20 J

## Homework Equations

KE = 1/2mv

^{2}= 3/2KT (k = 1.38 x 10

^{-23})

W = PxΔV

γ = 1.4?? (diatomic)

Q = mcΔT?

## The Attempt at a Solution

C

^{-1}(nitrogen) = 29.1 Jmol

^{-1}°C

^{-1}

KE = 1/2mv

^{2}= 3/2KT (k = 1.38 x 10

^{-23})

gives 2.484 x 10

^{-21?? Q = mcΔT = (1 mol x (14 x 2) x 29.1 x (420 - 300) = 97776 J?? I'm not sure of what other equations to use. The fact that it is constant pressure suggests that it is isobaric, but i'm not sure how to integrate the formula 'W = PxΔV' with the temperature and the 'moles' of gas. I think that 'Cp' stands for 'constant pressure' - hence I thought of using Q = MCΔT. I'm not sure whether I'm on the right track, or completely off the bat. Any help would be appreciated.}