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suppose that i begin with a container containing a mixture of 2 mol of helium ga

ID: 1730457 • Letter: S

Question

suppose that i begin with a container containing a mixture of 2 mol of helium gas and 10^-9 mole of radon gas. Both helium and radon are monatomic and well-approximated as ideal gases. Radon is radioactive, and each atom releases a total of 3.8x10^-12 J of energy when it decays. The container is perfectly insulating (no heat exchange with the outside world), begins at 1 atm pressure and 300 Kelvin, and maintains a constant volume.

10. How much will the temperature change after the decay is complete?

Explanation / Answer

Total atom of radon=10^(-9)*6.023*10^23=6.023*10^14

total energy added=2288.74 J

Let the change in temperature is T

at constant volume

Energy added=nCv*change in temperature

change in temperature=91.76 K