Watt Dps
Watt Dps
half life chemistry hw?
A radioactive isotope has an initial decay rate of 51.29 dps (disintegrations per second) for a sample. After an elapsed time of 7.86 days, the rate has decreased to 19.9 dps. What is the half-life (in days) of this isotope?
A Watt (W) is a unit of power equal to 1J/s. A kilowatt is 1000 watts. How many kilowatt hours (1000 watts/s for one hour) of energy would be produced by the complete conversion to energy of 0.62 mg of matter? Error tolerance: ±1%
radioactive decay is first order. The integrated form of the first order rate law is:
ln A = -kt + ln A(sub zero)
ln 19.9 = -k (7.68) + ln 51.29
do some math and k = 0.123
we know that half-life for first order equals 0.693 divided by k, so half-life equals 5.62 days.
On the second question, use E = mc2 to get the total energy in Joules (check the unit for one Joule and it ain't Joule). I'll leave it there.
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