(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

This is Pathria (2nd Ed) 1.6 and it seemed simple enough but the magnitude of the answer seems unbelievably large:

A cylindrical vessel 1 m long and .1 m in diameter is filled with a monoatomic gas at P = 1 atm and T = 300 K. The gas is heated by an electrical discharge along the axis of the vessel, which releases an energy of 10^4 joules. What will the temperature of the gas be immediately after the discharge.

2. Relevant equations

PV = nRT

E = 3nRT/2

3. The attempt at a solution

E2 - E1 = 10^4

nR = P1 * V/T1 where P1 = 1 and T1 = 300

V = pi * (.1/2)^2 * 1

E2 - E1 = (3/2)(nR)(T2 - T1)

10^4 = (3/2) (1 * V) (T2 - 300)/300

This seems to give an answer in the range of 10^8. Is this correct? Is it because the number of moles of the gas PV/RT are very few and that even this 'normal' increase in energy is leading to such epic temperatures. The magnitude is bothersome especially because even the sun's core is at a temperature of the order of 10^6

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# Homework Help: Ideal gas law and temperature

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